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<TITLE> A Guide to Understanding Data Remanence in Automated Information

Systems</TITLE>

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<BODY BGCOLOR="#FFFFFF">



<H1> A Guide to Understanding Data Remanence in Automated Information

Systems</H1>



<P>

NCSC-TG-025

<P>

Library No. 5-236,082

<P>

Version-2

<H2>FOREWORD</H2>



<P>

The National Computer Security Center is issuing A Guide to Understanding

Data Remanence in Automated Information Systems as part of the

&quot;Rainbow Series&quot; of documents our Technical Guidelines

Program produces. In the Rainbow Series, we discuss in detail

the features of the Department of Defense Trusted Computer System

Evaluation Criteria (DoD 5200.28-STD) and provide guidance for

meeting each requirement.  The National Computer Security Center,

through its Trusted Product Evaluation Program, evaluates the

security features of commercially-produced computer systems. 

Together, these programs ensure that organizations are capable

of protecting their important data with trusted computer systems.

 While data remanence is not a directly evaluated criterion of

trusted computing systems, it is an issue critical to the safeguarding

of information used by trusted computing systems.

<P>

A Guide to Understanding Data Remanence in Automated Information

Systems is intended for use by personnel responsible for the secure

handling of sensitive or classified automated information system

memory and secondary storage media.  It is important that they

be aware of the retentive properties of such media, the known

risks in attempting to erase and release it, and the approved

security procedures that will help prevent disclosure of sensitive

or classified information. This version supersedes CSC-STD-005-85,

Department of Defense Magnetic Remanence Security Guideline, dated

15 November 1985.

<P>

As the Director, National Computer Security Center, l invite your

suggestions for revising this document. We plan to review this

document as the need arises.

<MENU>

<LI>Patrick R.   Gallagher, JR                               

   September 1991

<LI>Director National Computer Security Center

</MENU>



<P>



<H2>ACKNOWLEDGMENTS</H2>



<P>

The National Computer Security Center extends recognition to Captain

James K. Goldston, United States Air Force, for providing engineering

support and as primary author and preparer of this guideline.

We thank the many people involved in preparing this document.

 Their careful review and input were invaluable.  The National

Computer Security Center extends recognition to Dr. Blaine W.

Burnham and David N. Kreft, without whom this revision could not

have taken place.  Other reviewers that provided much needed input

are Carole S. Jordan, Lawrence M. Sudduth, and Kim Johnson-Braun

and George L. Cipra.

<H2>INTRODUCTION</H2>



<P>

Data remanence is the residual physical representation of data

that has been in some way erased.  After storage media is erased

there may be some physical characteristics that allow data to

be reconstructed.  This document discusses the role data remanence

plays when storage media is erased for the purposes of reuse or

release.

<P>

Various documents have been published that detail procedures for

clearing, purging, declassifying, or destroying automated information

system (AIS) storage media. [1,2,4, 5, 6, 8,9,13 and 16] The Department

of Defense (DoD) published DoD Directive 5200.28, Security Requirements

for Automated Information Systems, [17] and its corresponding

security manual DoD 5200.28-M, Automated Data Processing Security

Manual, [1] in 1972 and 1973, respectively.  These two documents

were amended in 1979, in response to the Defense Science Board

Task Force recommendation to establish uniform DoD policy for

computer security requirements, controls, and measures.  The directive

was again revised in March 1988, and efforts are underway to revise

the manual.

<P>

DoD 5200.28-M addresses DoD requirements for the secure handling

and disposal of AlS memory and secondary storage media.  While

the Department of Defense requires the use of DoD Directive 5200.28

and DoD 5200.28-M by DoD components, the heads of DoD components

may augment these requirements to meet their needs by prescribing

more detailed guidelines and instructions provided they are consistent

with these policies.  DoD contractors and subcontractors who participate

in the Defense Industrial Security Program (DISP) are required

to comply with DoD 5220.22-M,&#183; Industrial Security Manual

for Safeguarding Classified Information. [8]   The Defense Investigative

Service is responsible for the promulgation of the policy reflected

in DoD 5220.22-M.   Unlike these policy documents, A Guide To

Understanding Data Remanence In Automated Information Systems

does not provide requirements.

<P>

Sometime during the life cycle of an AIS, its primary and secondary

storage may need to be reused, declassified, destroyed, or released.

 It is important that security officers, computer operators, and

other users or guardians of AS resources be informed of the risks

involving the reuse, declassification, destruction, and release

of AlS storage media.  They also should be knowledgeable of the

risks inherent in changing the sensitivity level of AS storage

media or of moving media from an installation with a specific

security posture tone that is less secure. They should use proper

procedures to prevent a possible disclosure of sensitive information

contained on such media.  (&quot;Sensitive&quot; in this document

refers to classified and sensitive but unclassified information.)

 The procedures and guidelines in this document are based on research,

investigation, current policy, and standard practice.

<P>

This guideline is divided as follows:  Section 2 provides information

on using this guideline and introduces DoD terminology.  Section

3 discusses the use of degaussers and references the Degausser

Products List (DPL), a listing of DoD evaluated degaussers. Section

4, &quot;Risk Considerations,&quot; has information similar to

that found in version 1 of this document, except for the modification

of Section 4.2, &quot;Effects of Heat and Age,&quot; and the addition

of information on overwriting and degaussing.  Section 5 addresses

DoD endorsed erasure standards.  Recently developed storage technologies

and disk exercisers are discussed in Section 6.  Section 7 addresses

areas needing further investigation and provides references to

additional information on the science of magnetics, as it pertains

to magnetic remanence.

<H3>1.1 PURPOSE</H3>



<P>

The purpose of this publication is to provide information to personnel

responsible for the secure handling of sensitive AlS memory and

secondary storage media.  (However, this guidance applies to any

electronic or magnetic storage media, e.g., instrumentation tape.)

 This guideline provides information relating to the clearing,

purging, declassification, destruction, and release of most AlS

storage media.  While data remanence is not a directly evaluated

criterion of trusted computing systems, it is an issue critical

to the safeguarding of information used by trusted computing systems

and, as such, is addressed in this National Computer Security

Center (NCSC) guideline. The NCSC publishes this document because

the community using trusted computing systems has expressed the

desire for this information.  Additionally, readers should note

that this is a guideline only and they should not use it in lieu

of policy.

<H3>1.2 HISTORY</H3>



<P>

As early as 1960 the problem caused by the retentive properties

of AIS storage media (i.e., data remanence) was recognized.  It

was known that without the application of data removal procedures,

inadvertent disclosure of sensitive information was possible should

the storage media be released into an uncontrolled environment.

 Degaussing, overwriting, data encryption, and media destruction

are some of the methods that have been employed to safeguard against

disclosure of sensitive information. Over a period of time, certain

practices have been accepted for the clearing and purging of AIS

storage media.

<P>

A series of research studies were contracted by the DoD to the

Illinois Institute of Technology, Research Institute and completed

in 1981 and 1982.  They have confirmed the validity of the degaussing

practices as applied to magnetic tape media [19] Additional research

conducted at the Carnegie-Mellon University using communication

theory and magnetic modeling experiments designed to detect digital

information from erased disks has provided test data on the erasability

of magnetic disks. [11, 21, and 22] This work, along with DoD

research that has not yet been released, provides the basis for

the disk degaussing standard.  More studies are planned or underway

to ensure the adequacy of DoD degaussing standards.

<P>

On 2 January 1981, the Director of the National Security Agency

assumed responsibility for computer security within the Department

of Defense. As a result, the Department of Defense Computer Security

Center (DoDCSC), officially chartered by DoD Directive 5215.1,

was established at the National Security Agency. (3] The DoDCSC

Division of Standards (now Division of Standards, Criteria, and

Guidelines) was subsequently formed and tasked to support a broad

range of computer security related subjects. The DoDCSC became

the NCSC in 1985, as amended in National Security Decision Directive

145. [15] As part of its mission to provide information useful

for the secure operation of AISs, the NCSC published the Department

of Defense Magnetic Remanence Security Guideline, which is version

1 of this guideline.

<H2>2. GENERAL INFORMATION</H2>



<P>

An AIS and its storage media should be safeguarded in the manner

prescribed for the highest classification of information ever

processed by the AIS. That is, until the AIS and its associated

storage media are subjected to an approved purging procedure and

administratively declassified.  There should be continuous assurance

that sensitive information is protected and not allowed to be

placed in a circumstance wherein a possible compromise can occur.

 There are two primary levels of threat that the protector of

information must guard against: keyboard attack (information scavenging

through system software capabilities) and laboratory attack information

scavenging through laboratory means).   Procedures should be implemented

to address these threats before the AlS is procured, and the procedures

should be continued throughout the life cycle of the AS.

<H3>2.1 USE OF THIS GUIDELINE</H3>



<P>

Designated Approving Authorities and Information System Security

Officers (ISSOs) may refer to this guideline when selecting or

evaluating specific methods to clear, purge, declassify, or destroy

AIS storage media.  DoD components may include the information

provided in this guideline in their security training and awareness

program; however, they should not use this guideline in lieu of

existing policies.

<P>

Guidelines in this document have two degrees of emphasis.  Those

that are most important to the secure handling of AIS storage

media have such wording as &quot;the 1550 should . . . .,,  Guidance

of lesser criticality has such wording as &quot;it is good practice&quot;

or &quot;it may be.&quot;  Thus, the word &quot;may&quot; denotes

less emphasis or concern than the word &quot;should.&quot;

<H3>2.2 IMPORTANT DEFINITIONS</H3>



<P>

This section provides definitions and their amplification critical

to understanding the issues in remanence. A comprehensive glossary

follows Section 7.

<P>

Clearing: The removal of sensitive data from an AIS at the end

of a period of processing, including from AlS storage devices

and other peripheral devices with storage capacity, in such a

way that there is assurance, proportional to the sensitivity of

the data, that the data may not be reconstructed using normal

system apabilities, i.e., through the keyboard.  (This may include

use of advanced diagnostic utilities.) An AIS need not be disconnected

from any external network before a clear. [1, draft version]

<P>

Clearing can be used when the secured physical environment (where

the media was used) is maintained. In other words, the media is

reused within the same AIS and environment previously used.

<P>

In an operational computer, clearing can usually be accomplished

by an overwrite of unassigned system storage space, provided the

system can be trusted to provide separation of the storage space

and unauthorized users.  For example, a single overwrite of a

file or all system storage, if the circumstance warrants such

an action, is adequate to ensure that previous information cannot

be reconstructed through a keyboard attack.  Note: Simply removing

pointers to a file, which can occur when a file is simply deleted

in some systems, will not generally render the previous information

unrecoverable through normal system capabilities (i.e., diagnostic

routines).

<P>

Purging:  The removal of sensitive data from an AlS at the end

of a period of processing, including from AlS storage devices

and other peripheral devices with storage capacity, in such a

way that there is assurance, proportional to the sensitivity of

the data, that the data may not be reconstructed through open-ended

laboratory techniques.  An AlS must be disconnected from any external

network before a purge. [17]

<P>

Purging must be used when the secured physical environment (where

the media was used) will not be maintained.  In other words, media

scheduled to be released from a secure facility to a non-cleared

maintenance facility or similar non-secure environment must be

purged.

<P>

Note: The purging definition allows a hierarchy of data eradication

procedures, although current standards do not take advantage of

this.  That is, removing data with &quot;assurance, proportional

to the sensitivity of the data, that the data may not be reconstructed&quot;

implies that standards can be developed to be applied hierarchically.

<P>

For example, a standard could be developed that allowed a security

officer to degauss CONFIDENTIAL tapes by 80 db, SECRET tapes by

90 db, etc.  Practice has shown, however, that this is not a feasible

approach. Authorized clearing and purging procedures are detailed

in DoD 5200.28-M and sometimes further amplified in DoD component

regulations.

<P>

1 Declassification:  A procedure and an administrative action

to remove the security classification of the subject media.  

The procedural aspect of declassification is the actual purging

of the media and removal of any labels denoting classification,

possibly replacing them with labels denoting that the storage

media is unclassified. The administrative aspect is realized through

the submission to the appropriate authority of a decision memorandum

to declassify the storage media.

<P>

Whether declassifying or downgrading the storage media, the memorandum

should include the following:

<MENU>

<LI>a. A description of the media (type, manufacturer, model,

and serial number).

<LI>b. The media's classification and requested reclassification

as a result of this action.

<LI>c. A description of the purging procedures to include the

make, model number, and serial number of the degausser used and

the date of the last degausser test if degaussing is done; or

the accreditation statement of the software if overwriting is

done; or the description of and authorization to use the purging

procedure if the purging procedure is different from the preceding

procedures.

<LI>d. The names of the people executing the procedures and verifying

the results.

<LI>e. The reason for the downgrade, declassification, or release.

<LI>f. The concurrence of the data owner that the action is nece,ssary.

<LI>g. The intended recipient or destination of the AIS and storage

media.

</MENU>



<P>



<P>

Coercivlty measured in oersteds (Oe), is a property of magnetic

material used as a measure of the amount of applied magnetic field

(of opposite polarity) required to reduce magnetic induction to

zero from its remanent state, i.e., taking the media from a recorded

state to an unrecorded state. Coercivity values are available

from the manufacturer or vendor.

<P>

Type I Tape: Magnetic tape with coercivity not exceeding 350 Oe

(also known as low-energy tape), for example, iron oxide coated

tape.  Note: The maximum coercivity level has changed from 325

Oe to 350 Oe.

<P>

Magnetic disks, i.e., oxide particles on a metal substrate, also

have varying coercivity levels.  Research has shown, however,

that the physical remanence properties of disks are easier to

address.  Because of this, disks are treated as Type I media and

are discussed in more detail later.

<P>

Type II Tape: Magnetic tape with coercivity ranging from 351 to

750 Oe (also known as high-energy tape), for example, chromium

dioxide coated tape.

<P>

The determination of the Types l and II definitions was largely

a result of the tape manufacturing industry. Low-energy tapes

were developed first, and they have coercivities around 300 Oe

+ 10%.  The next generation tape was high-energy tape, whose coercivity

is around 650 Oe + 10%.  There have been no naturally occurring

plateaus for which to define a Type Ill tape. As a practical matter,

there are no degaussers that can yet meet the requirements of

National Security Agency/Central Security Service (NSA/CSS) Specification

Ll 4-4-A for tapes above Type Il. [13]

<P>

Type 111 Tape:  Magnetic tape with coercivity above 750 Oe, for

example, cobalt-modified iron oxide coated tape and metallic particle

coated tape.  This definition is provided so these media may be

discussed.

<P>

Degausser:  A device that can generate a magnetic field for degaussing

magnetic storage media.  A Type l degausser can purge Type I tapes

and all magnetic disks. A Type Il degausser can purge both Types

IA and Il tapes. There are, at present, no Type III degaussers.

Currently, all Type 1,11, and Ill tapes may be cleared with a

Type l degausser. However, Type Ill tapes with higher than the

current maximum coercivity may be developed that would not be

clearable with a Type I degausser. Refer to the DPL for Type Ill

degausser availability.  Section 3 discusses degaussers further.

<P>

Permanent Magnet Degausser:  A hand-held permanent magnet that

has satisfied the requirement to degauss floppy disks, disk platters,

magnetic drum surfaces, bubble memory chips, and thin film memory

modules.  It is not used to degauss magnetic tape.

<H3>2.3 OBJECT REUSE AND DATA REMANENCE</H3>



<P>

The issue of data scavenging on multiuser systems was recognized

to be an area of concern long before the DoD 5200.28-STD, Trusted

Computer System Evaluation Criteria (TCSEC),[20] became the metric

with which to evaluate trusted systems.  The TCSEC reflects this

concern with its requirement that a Trusted Computing Base (TCB)

have a mechanism that enforces an object reuse policy.  This mechanism

must ensure that no user can use the TCB interface to recover

another user's data from recycled storage media (e.g., memory

or disk pages).  Object reuse in trusted computing systems is

comparable (in most respects) to &quot;clearing.&quot;

<P>

Object reuse can be implemented so that the address space that

contained the object (file) is cleared upon deallocation (the

net result is that unallocated address space is cleared) or upon

allocation (the net result is that unallocated address space may

contain data residue). (Note: There are other ways to implement

object reuse which do not involve clearing.) Information from

a common data storage pool cannot normally be retrieved through

the keyboard.

<P>

Some comparisons have been made between trusted systems that satisfy

the object reuse requirement and overwrite programs that do only

clearing or purging; however, it should be noted that overwrite

programs cannot be trusted in the same sense as trusted systems.

 This is primarily because of the environment in which overwrite

programs must operate.

<P>

Trusted systems are designed with an object reuse mechanism that

is protected and supported by the TCB, substantiating the degree

of trust placed in the object reuse mechanism. Commercially available

overwrite programs are usually designed to operate on several

different systems and are not evaluated with the same rigor as

trusted systems; however, any overwrite program should be protected

from unauthorized modification. These two security features provide

a similar aspect of data confidentiality but satisfy different

computer security requirements.

<H2>3. DEGAUSSERS</H2>



<P>

DoD 5200.28-M requires that degaussing equipment be tested and

approved by a laboratory of a DoD component or a commercial testing

laboratory where the evaluation tests may be certified.  Test

methods and performance criteria are promulgated in DoD 5200.28-M.

National Security Agency/Central Security Service (NSA/CSS) Specification

L1 4-4-A, Magnetic Tape Degausser, [13] is an updated version

of DoD 5200.28-M degausser testing requirements.  The NSA/CSS

has ensured that degausser testing criteria are current by publishing

NSA/CSS Specification L1 4-4-A.

<H3>3.1 A PRIMER</H3>



<P>

Data are stored in magnetic media by making very small areas called

magnetic domains change their magnetic alignment to be in the

direction of an applied magnetic field.  This phenomena occurs

in much the same way that a compass needle points in the direction

of the earth's magnetic field. Degaussing, commonly called erasure,

leaves the domains in random patterns with no preference to orientation,

thereby rendering previous data unrecoverable.  There are some

domains whose magnetic alignment is not randomized after degaussing.

 The information that these domains represent is commonly called

magnetic remanence.  Proper degaussing will ensure that there

is insufficient magnetic remanence to reconstruct the data.

<P>

Erasure via degaussing may be accomplished in two ways: in AC

erasure, the media is degaussed by applying an alternating field

that is reduced in amplitude over time from an initial high value

(i.e., AC powered); in DC erasure, the media is saturated by applying

a unidirectional field (i.e., DC powered or by employing a permanent

magnet).

<H3>3.2 DEGAUSSER TESTING</H3>



<P>

The DoD has adopted the National Security Agency security standard

for degaussing equipment, which requires degaussers to reduce

a special worst-case analog test signal by 90 decibels (db). 

More simply stated, degaussing must reduce the test signal to

one billionth (1 part in 109) of its original strength. However,

the signals recorded on magnetic media are easier to erase than

the worst-case test signal. This signal is a test signal that

magnetically saturates a tape and is set forth in references 1

and 13.  After the test signal is recorded on the tape, the tape

is degaussed and the residual signal is evaluated against the

90 db standard.  This quantifies degausser effectiveness.

<H3>3.3 LABELING TAPES</H3>



<P>

It is difficult to distinguish the different types of magnetic

tape from appearance alone.  For this reason, it is recommended

that responsible personnel ensure that type labels (i.e., Type

1,11, or lll) are applied to the tape reels upon initial use.

The label should remain on the reel until the tape is cut from

the reel or the reel is destroyed.

<P>

In some cases, adding another label to the tape could introduce

the possibility of operator error in shops where the reel is already

crowded with labels.  Some facilities require the security officer

to use the manufacturer's label to determine tape coercivity.

In any case, strict inventory controls should be in place to ensure

that tapes can be identified by type so the correct purge procedure

is used.

<H3>3.4 DEGAUSSER PRODUCTS LIST (DPL)</H3>



<P>

The list of magnetic degaussers that satisfy the requirements

in NSA/CSS Specification L1 4-4-A is included in the NSA's Information

Systems Security Products and Services Catalogue [10] as the DPL.

 The catalogue is updated quarterly and is available through the

U.S. Government Printing Office.

<H3>3.5 DEGAUSSING EQUIPMENT FAILURE</H3>



<P>

Because of the possibility of equipment failure, degaussing equipment

should be periodically tested to verify correct operation throughout

the life cycle of the equipment.  Preventive maintenance should

be done on a regular schedule to preclude mechanical or electrical

problems.   Some manufacturers have maintenance contracts and

recommended maintenance schedules to ensure the integrity of the

degaussing procedure.

<P>

To provide a rough estimate of degausser effectiveness, an on-site

test of generated magnetic field strength may be done by using

a gaussmeter for some models of Type l degaussers. (Some Type

l degaussers cannot be tested in this manner because the degaussing

field is not accessible.)  However, a more extensive test is required

to maintain an adequate degree of assurance that the degausser

is operating correctly. Both Type l and ll degaussers may be periodically

tested more extensively by testing against the 90 db test signal

strength reduction requirement in NSA/CSS Specification L1 4-4-A

using the following procedure: have the tape prerecorded with

the specified test signal (in a testing laboratory), degauss the

tape, then return the tape to the laboratory where it can be tested

for the remanent signal level. [13] Check with local authorities

or engineering personnel to determine if such a service is available

to your organization. There are two companies listed in the DPL,

Integra Technologies Corporation and Data Security, Incorporated,

that can test an installed degausser's effectiveness.

<P>

Although this periodic test is not a DoD requirement, it is highly

recommended.

<P>

After a degausser is installed, it should be tested periodically

(approximately every six months) for its first two years of operation.

This data can be used to develop a histogram of the degausser's

operation.  Based on this information, an informed decision can

be made about extending the interval between testing, e.g., every

9 months, yearly, every 18 months, etc.

<P>

Note that it is erroneous to assume that even a newly installed

degausser, let alone a degausser several years old, is providing

sufficient erasure.  It is not prudent to rely upon one DoD evaluation

of the degausser manufacturer's product line because of possible

product failure.

<H2>4. RISK CONSIDERATIONS</H2>



<P>

Many risks should be considered when reuse or release of AIS storage

media is anticipated.  AIS security personnel, operations personnel,

users, and other designated responsible persons should be aware

of these risks before attempting to declassify or make any decision

to release storage media.

<H3>4.1 DESTINATION OF RELEASED MEDIA</H3>



<P>

The risk of compromise of sensitive data increases when AlS storage

media is released for any reason outside of the controlled environment.

 Personnel should consider the media's destination when evaluating

this risk.

<H3>4.2 EFFECTS OF HEAT AND AGE</H3>



<P>

Version 1 of this document reported that magnetic media stored

for either an extended period of time or under high temperature

conditions (120 degrees Fahrenheit or greater) becomes more difficult

to degauss or erase.  Additional research is in progress to validate

the effects of heat and age on the erasure process. [14]

<H3>4.3 MECHANICAL STORAGE DEVICE EQUIPMENT FAILURE</H3>



<P>

Some of the early disk drives required manual alignment of read/write

heads.  The effectiveness of an overwrite on this technology base

may be reduced because of equipment failure or mechanical faults,

such as misalignment of read/write heads.  Hardware preventive

maintenance procedures should be done on schedule, and records

should be maintained in an effort to prevent this problem.

<H3>4.4 STORAGE DEVICE SEGMENTS NOT RECEPTIVE TO OVERWRITE</H3>



<P>

A compromise of sensitive data may occur if media is released

when an addressable segment of a storage device (such as unusable

or &quot;bad&quot; tracks in a disk drive or inter-record gaps

in tapes) is not receptive to an overwrite.  As an example, a

disk platter may develop unusable tracks or sectors; however,

sensitive data may have been previously recorded in these areas.

 It may be difficult to overwrite these unusable tracks. Before

sensitive information is written to a disk, all unusable tracks,

sectors, or blocks should be identified (mapped).  During the

life cycle of a disk, additional unusable areas may be identified.

If this occurs and these tracks cannot be overwritten, then sensitive

information may remain on these tracks.  In this case, overwriting

is not an acceptable purging method and the media should be degaussed

or destroyed.

<H3>4.5 OVERWRITE SOFTWARE AND CLEARING</H3>



<P>

 Overwriting is an effective method of clearing data.  In an operational

system, an overwrite of unassigned system storage space can usually

accomplish this, provided the system can be trusted to provide

separation of system resources and unauthorized users. For example,

a single overwrite of a file (or all system storage, if the circumstance

warrants such an action) is adequate to ensure that previous information

cannot be reconstructed through a keyboard attack.  Note: Simply

removing pointers to the file will not generally render the previous

information unrecoverable.  Software used for clearing should

be under strict configuration controls.  See A Guide to Understanding

Configuration Management in Trusted Systems for additional information

on this subject. [7]

<H3>4.6 OVERWRITE SOFTWARE AND PURGING</H3>



<P>

 The DoD has approved overwriting and degaussing for purging data,

although the effectiveness of overwriting cannot be guaranteed

without examining each application.  If overwriting is to be used

in a specific application, software developers must design the

software such that the software continues to write to all addressable

locations on the media, in spite of intermediate errors. All such

errors in usable sectors should be reported with a listing of

current content.  In addition, unusable sectors must be completely

overwritten, because the unusable sector list will not show whether

the sector ever contained any sensitive data.  If any errors occur

while overwriting or if any unusable sector could not be overwritten,

then degaussing is required.

<P>

There are additional risks to trusting overwrite software to purge

disks.  The environment in which the software must operate is

difficult to constrain.  For this reason, care must be exercised

during software development to ensure the software cannot be subverted.

The overwrite software should be protected at the level of the

media it purges, and strict configuration controls should be in

place on both the operating system the software must run under

and the software itself. The overwrite software must be protected

from unauthorized modification. [7]

<H3>4.7 CONTRACTUAL OBLIGATION</H3>



<P>

Leased equipment containing nonremovable magnetic storage media

should not be returned to the vendor unless the media is declassified

using an approved procedure.  Problems may be encountered obtaining

warranty repair service or returning the equipment at termination

of lease.  Contractual maintenance agreements should address the

issue of degaussed media and its effect on equipment warranties.

<H3>4.8 MAINTENANCE</H3>



<P>

Proper purging is especially important in relation to maintenance,

whether routine or not. Purge procedures should be conducted and

the device declassified before uncleared personnel undertake maintenance

actions.   If purging is impractical, prohibitively expensive,

or could destroy the device, then precautions should be taken

to reduce the threat to sensitive information on the device. 

Maintenance actions should be observed by an individual who has

been provided with guidance so that improper actions can be discerned

and unauthorized disclosure can be prevented.

<P>

If test and diagnostic equipment (T &amp; DE) is used on an AIS

that has not been purged, there is a possibility that the T &amp;

DE can capture sensitive information. To prevent unauthorized

disclosure, the T &amp; DE should either be purged after use or

remain safeguarded at the highest level of information resident

on the AIS.

<P>

For example, if a sensitive disk drive is serviced, the escort

official should know that the maintenance person is not allowed

to remove the damaged disk from the facility.  The escort also

should be capable of identifying when a maintenance person has

altered the protective characteristics of the device.

<H3>4.9 DATA SENSITIVITY</H3>



<P>

AlS storage media may have contained information so sensitive

that authorities decided to never allow declassification of the

AlS or its storage media. Examples of such sensitive information

are communications security (COMSEC) information marked CRYPTO

or Single Integrated Operational Plan (SlOP) information. In these

cases, the holder of the media should not attempt to declassify

or release the media except as directed by proper organizational

approving authorities. [9]  Destruction may be the only alternative

to indefinite storage of such highly sensitive media.

<H3>4.10 DEGAUSSING</H3>



<P>

Although degaussing is the best method for purging most magnetic

storage media, it is not without risk. Degaussers can be used

improperly. For example, the media may be removed before the degaussing

cycle is complete. Also, degaussers can fail or have a reduced

capability over time.  Good degausser design can alleviate much,

but not all, of this risk. This risk can be mitigated by periodic

testing (see Section 3.5, &quot;Degaussing Equipment Failure&quot;).

<P>

Mistakenly using a Type l degausser to purge Type ll tape is another

risk. Type I degaussers cannot purge Type ll tape. Magnetic tape

should have a label applied to the reel that identifies the coercivity

of the media, because coercivity cannot always be distinguished

by physical appearance. Strict inventory controls should be in

place to ensure tapes can be identified by type so the correct

purge procedure is used. If type labels are used, they should

not be removed from the reel unless the tape is cut from the reel

or the reel itself is destroyed.  Labels that show classification

should not be removed from the reel until the media is declassified.

 See Section 3.3, &quot;Labeling Tapes,&quot; for more information

about labels.

<H2>5. STANDARDS</H2>



<H3>5.1 GENERIC PROCEDURES</H3>



<P>

There are two primary procedures allowed by DoD policy for clearing

and purging AIS memory and secondary storage media that have processed

sensitive information: overwriting and degaussing. [1] Other procedures

are media specific and this section details them where appropriate.

 The need for destruction arises when the media reaches the end

of its useful life.

<H4>5.1.1 OVERWRITING</H4>



<P>

Overwriting is a process whereby unclassified data are written

to storage locations that previously held sensitive data.  To

satisfy the DoD clearing requirement, it is sufficient to write

any character to all data locations in question.  To purge the

AIS storage media, the DoD requires overwriting with a pattern,

then its complement, and finally with another pattern; e.g., overwrite

first with 0011 0101, followed by 11001010, then 1001 0111. The

number of times an overwrite must be accomplished depends on the

storage media, sometimes on its sensitivity, and sometimes on

differing DoD component requirements. In any case, a purge is

not complete until a final overwrite is made using unclassified

data.

<H4>5.1.2 DEGAUSSING</H4>



<P>

Degaussing is a process whereby the magnetic media is erased,

i.e., returned to its initial virgin state. To satisfy the DoD

requirement on degaussing a classified magnetic tape, the degausser

must have met DoD testing requirements as discussed in Section

3, &quot;Degaussers.&quot;

<H4>5.1.3 DESTRUCTION</H4>



<P>

It is good practice to purge media before submitting it for destruction.

 Media may generally be destroyed by one of the following methods.

(Although approved methods, options d and e use acid, which is

dangerous and excessive, to remove recording surfaces. Options

a, b, and c are recommended over d and e.)

<MENU>

<LI>a. Destruction at an approved metal destruction facility,

i.e., smelting, disintegration, or pulverization.

<LI>b. Incineration.

<LI>c. Application of an abrasive substance (emery wheel or disk

sander) to a magnetic disk or drum recording surface. Make certain

that the entire recording surface is completely removed before

disposal.  Also, ensure proper protection from inhaling the abraded

dust.

<LI>d. Application of concentrated hydriodic acid (55% to 58%

solution) to a gamma ferric oxide disk surface.  Acid solutions

should be used in a well-ventilated area only by qualified personnel.

<LI>e. Application of acid activator Dubais Race A (8010 181 7171)

and stripper Dubais Race B (8010 181 7170) to a magnetic drum

recording surface.  Technical acetone (6810 184 4796) should then

be applied to remove residue from the drum surface. The above

should be done in a well-ventilated area, and personnel must wear

eye protection.  Extreme caution must be observed when handling

acid solutions.  This procedure should be done only by qualified

and approved personnel.

</MENU>



<P>



<P>

For additional information on destruction techniques and emergency

destruction, see Institute for Defense Analyses (IDA) Report R-321,

Emergency Destruction of Information Storing Media. [6]

<H3>5.2 SPECIFIC PROCEDURES</H3>



<P>

DoD 5200.28-M provides accepted DoD procedures to clear, purge,

declassify, and destroy storage media.  This section, &quot;Standards,&quot;

is a reflection of those procedures but does not provide the entire

procedure (e.g., use three overwrites to purge disks). This is

because these standards are evolving and this document, A Guide

to Understanding Data Remanence in Automated Information Systems,

is not to be construed as replacing policy.

<H4>5.2.1 MAGNETIC TAPES</H4>



<P>

Although overwriting can be used for clearing this media, the

method is time consuming and generally never used. Also, inter-record

gaps may preclude proper clearing. A better method for clearing

Type 1,11, and Ill tapes is degaussing with a Type l or Type II

degausser. This procedure is considered acceptable for clearing,

but not purging, all types of tapes.

<P>

Degaussing with an appropriate degausser is the only method the

DoD accepts for purging this media.  Specifically, a Type I degausser

can purge only Type tapes, and Type II degaussers can purge Types

l and Il tapes.  No degausser presently exists that is capable

of purging Type III tapes in accordance with NSA/CSS Specification

L1 4-4-A.

<H4>5.2.2 MAGNETIC HARD DISKS</H4>



<P>

The DoD has approved both overwriting and degaussing as methods

to clear or purge this media.  See Section 4, &quot;Risk Considerations,&quot;

and DoD 5200.28-M for additional information. Degaussed disks

will generally require restoration of factory installed timing

tracks.  Type I degaussers and approved hand-held magnets can

purge this media up to a coercivity level of 1100 oersteds. If

hand-held magnets are used, then the magnet must be placed in

almost direct contact with the disk, separated by only a tissue

to prevent scratching the disk. Sometimes it is possible to insert

the magnet between the platters without disassembling them.  As

a practical matter, if the drive must be disassembled, it is usually

easier to destroy the platters than to degauss and then reinstall

them.

<P>

Recently completed research has indicated that degaussing is an

effective method to purge rigid disk media. Large cavity degaussing

equipment can be used to erase the data from sealed disk packs

and Winchester style hard disk drives while the platters remain

in the drive. Care must be exercised to ensure that the disk drive

is not encasqd in a material that conducts a magnetic field. Research

has shown that aluminum housings on Winchester disk drives attenuate

the degaussing field by only about 2 db. Operational guidance

is now being developed for the DoD.

<H4>5.2.3 MAGNETIC DRUMS</H4>



<P>

The DoD has approved both overwriting and degaussing as methods

to clear or purge this media.  See Section 4, &quot;Risk Considerations,&quot;

and DoD 5200.28-M for additional information.  Type l degaussers

and approved hand-held magnets can purge this media, with the

latter being the only practical alternative.

<H4>5.2.4 MAGNETIC FLOPPY DISKS AND CARDS</H4>



<P>

The DoD has approved overwriting for clearing, but not purging,

magnetic floppy disks. Degaussing is the preferred method. The

technology of magnetic cards is old and not generally used. Degaussing

with Type I degaussers or approved hand-held magnets is the only

DoD accepted method of purging floppy disks and cards, regardless

of their coercivity. See DoD 5200.28-M for additional information.

<H4>5.2.5 MAGNETIC CORE MEMORY</H4>



<P>

The DoD has approved both overwriting and degaussing as methods

to clear or purge magnetic core memory.  Type l degaussers and

hand-held magnets can purge this media. See DoD 5200.28-M for

additional information.

<H4>5.2.6 PLATED WIRE MEMORY</H4>



<P>

There are restrictions on overwriting magnetic plated wire memory

based on the amount of time that information was resident in the

same memory location.  See DoD 5200.28-M for additional information.

<H4>5.2.7 THIN FILM MEMORY</H4>



<P>

The DoD has approved both overwriting and degaussing as methods

to clear or purge thin film memory. Type l degaussers and approved

hand-held magnets can purge this media.

<H4>5.2.8 MAGNETIC BUBBLE MEMORY</H4>



<P>

The DoD has approved both overwriting and degaussing as methods

to clear or purge magnetic bubble memory.  An alternative procedure

for magnetic bubble memory modules that have been designed with

a built-in bias voltage control is to adjust (i.e., raise) the

bias voltage to a level that would cause ttr;e collapse of all

the magnetic bubbles. On some bubble devices a chip erase is invoked

by pulsing the z-coil. If the memory was designed with a bias

control, information will be available from the vendor on the

correct bias voltage level to apply to cause the collapse of all

the magnetic bubbles. Type l degaussers and approved hand-held

magnets can purge this media.  Degaussed bubble memory will generally

require reinitialization with programs available from the manufacturer.

 Bubble memory has not been shown to exhibit any magnetic remanence

after application of any of these purging methods.

<H4>5.2.9 RANDOM ACCESS MEMORY (RAM)</H4>



<P>

The DoD has approved both overwriting and removal of power as

methods to clear or purge RAM. See DoD 5200.28-M for additional

information.

<H4>5.2.10 READ ONLY MEMORY (ROM)</H4>



<P>

Because data is permanently stored in ROM, clearing and purging

this media has no relevance. See DoD 5200.28-M for additional

information.

<H4>5.2.11 ERASABLE PROGRAMMABLE READ ONLY MEMORY (UVPROM)</H4>



<P>

The DoD has approved the use of ultraviolet light to clear or

purge UVPROM.

<P>

See DoD 5200.28-M for additional information.

<H4>5.2.12 ELECTRICALLY ERASABLE READ ONLY MEMORY (EEPROM)</H4>



<P>

The DoD has approved different forms of overwriting (e.g., single-step

chip erase, individual overwriting, etc.) as methods to clear

or purge EEPROM. See DoD 5200.28-M for additional information.

<H2>6. OTHER STORAGE AND OVERWRITE TECHNOLOGY</H2>



<H3>6.1 OPTICAL DISKS</H3>



<P>

The following are examples of optical disks:  CD-ROM (ReadOnly),

WORM (WriteOnce~ReadMany), and magneto-optical (ReadManyWriteMany).

 Currently, no procedures exist that are considered adequate to

ensure purging of these media.  Magneto-optical disk technology

uses a combination of laser optics and magnetics to obtain data

densities far surpassing those of magnetic disks alone.  Magneto-optical

disks can be cleared by a single overwrite, although purging by

overwrite is not considered adequate.

<H3>6.2 FERROMAGNETIC RAM</H3>



<P>

This technology couples magnetics with semiconductor random access

memory to provide data retention after power is removed.  There

have been no standards published providing procedures to ensure

clearing or purging of these media.  However, consistency with

all other types of storage media would dictate that a single overwrite

is sufficient for clearing.

<H4>6.3 DISK EXERCISERS</H4>



<P>

As noted earlier in Section 4.6, &quot;Overwrite Software and

Purging,&quot; many drawbacks exist to using overwrite software

for purging disks.  Some of these drawbacks are not applicable

to disk exercisers, which use a dedicated operating system.  Winchester

disk manufacturers use disk exercisers to do as their name implies-put

Winchester disk drives through their paces.  To purge a Winchester

drive, the Winchester unit must be plugged into the disk exerciser.

 The disk exerciser is able to write to any part of a disk regardless

of whether the operating system labeled the sector unusable. 

Some of these &quot;exercisers&quot; also have the capability

of writing at different frequencies.  This makes them a more effective

alternative to overwrite software; however, their ability to purge

disks has not been tested.

<H2>7. FUTURE DIRECTIONS</H2>



<P>

Several areas in data remanence can benefit from more investigation.

After the adequacy of overwrites to ensure purging is determined,

the use of disk exercisers for the purging of magnetic disks should

be researched. Because of the increasing use of magneto-optical

disks, research should be initiated on methods to purge this media

also.

<P>

A good primer on magnetic coatings used for disks and tapes is

Particulate Magnetic Recording: A Review, by Michael P. Sharrock.

[18]  For a discourse on future storage trends, see Data Storage

in 2000-Trends in Data Storage Technologies, by Mark H. Kryder.

[12]  The IEEE Transactions on Magnetics provides a wealth of

information on the field of magnetics1 with entire sections devoted

to engineering-level discussions related to magnetic remanence

in AIS storage media.

<P>

Announcements concerning cavity degaussers should be forthcoming.

See the Degausser Products List for these announcements and for

announcements about decisions concerning magnetic media degaussing.

<P>

DoD policy, procedures, and guidance need continual refinement

to keep pace with the evolving storage technologies. Although

there is no focal point responsible for ensuring erasure standards

are current, various agencies have sponsored research that has

ensured our erasure standards provide an adequate degree of security.

 This has caused duplication of effort at times, but it has also

provided additional validation of earlier work. However, a focal

point would ensure research is duplicated only when necessary.

As storage technology advances and clear and purge procedures

are developed and refined, this guideline will be periodically

updated to reflect the changes. DoD 5200.28-M should be updated

also.

<H2>GLOSSARY</H2>



<P>

Automated Information System.  An assembly of computer hardware,

firmware, and/or software configured to collect, create, communicate,

compute, disseminate, process, store, and/or control data or information.

<P>

AlS Storage Media. The physical substance(s) used by an AS system

upon which data are recorded.

<P>

Clearing AIS Storage Media. Removal of sensitive data from an

AS at the end of a period of processing, including from AlS storage

devices and other peripheral devices with storage capacity, in

such a way that there is assurance, proportional to the sensitivity

of the data, that the data may not be reconstructed using normal

system capabilities, i.e., through the keyboard. An AlS need not

be disconnected from any external network before a clear.

<P>

Coercive Force.  A negative or reverse magnetic force applied

for reducing magnetic induction to zero.

<P>

Coerciviry. The amount of applied magnetic field (of opposite

polarity) required to reduce magnetic induction to zero. It is

often used to represent the ease with which magnetic media can

be degaussed.

<P>

Configuration Control.  The process of controlling modifications

to the system's hardware, firmware, software, and documentation

that provide sufficient assurance that the system is protected

against the introduction of improper modifications before, during,

and after system implementation.   Compare &quot;configuration

management.&quot;

<P>

Configuration Management.   The management of security features

and assurances through control of changes made to a system's hardware,

software, firmware, documentation, test, test fixtures and test

documentation throughout the development and operational life

of the system. Compare &quot;configuration control.&quot;

<P>

Data. A representation of facts, concepts, information, or instructions

suitable for communication, interpretation, or processing by humans

or by an AIS.

<P>

Declassification of AlS Storage Media.  A procedure and an administrative

decision to remove the security classification of the subject

media.

<P>

Degausser. A device that can generate a magnetic field for degaussing

magnetic storage media.

<P>

Degausslng.  To reduce magnetic induction to zero by applying

a reverse magnetizing field. Also called &quot;demagnetizing.&quot;

<P>

Degausser Products List (DPL). A list of commercially produced

degaussers that meet National Security Agency specifications as

set forth in reference 13.  The National Security Agency includes

this list in their Information Systems Security Products and Services

Catalogue.

<P>

Designated Approving Authority (DAA).  The official who has the

authority to decide to accept the security safeguards prescribed

for an AlS or the official who may be responsible for issuing

an accreditation statement that records the decision to accept

those safeguards. The DAA must be at an organizational level such

that he or she has the authority to evaluate the overall mission

requirements of the AlS and provide definitive directions to AlS

developers or owners relative to the risk in the security posture

of the AIS.

<P>

Downgrade.  A procedure and an administrative decision to reduce

the security classification of the subject media.

<P>

Erasure. A process by which data recorded on storage media is

removed.

<P>

Gauss.  A unit mea,sure of the magnetic flux density produced

by a magnetizing force.

<P>

InformatIon System Security Officer (1550). The person responsible

to the DAA for ensuring that security is provided for and implemented

throoghout the life cycle of an AS from the beginning of the system

concept development phase through its design, development, operation,

maintenance, and secure disposal.

<P>

Information Systems Security Products and Services Catalogue (INFOSEC

Catalog).  A catalog issued quarterly by the National Security

Agency to assist in the selection of products and services that

will provide an appropriate level of information security.  The

National Security Agency issues the DPL in this publication, which

is available through the Government Printing Office. Inter-Record

Gap. The &quot;area&quot; between data records on a magnetic tape.

Keyboard Attack. Data scavenging through resources available to

normal system users, which may include advanced software diagnostic

tools.

<P>

Laboratory Attack. Data scavenging through the aid of what could

be precise or elaborate equipment.

<P>

Magnetic Field Intensity.  The magnetic force required to produce

a desired magnetic flux, given as the symbol H (see definition

of &quot;oersted&quot;).

<P>

Magnetic Flux. Lines of force representing a magnetic field.

<P>

Magnetic Flux Density.  The representation of the strength of

a magnetic field, given as the symbol B (see definition of &quot;gauss&quot;).

<P>

Magnetic Remanence. The magnetic flux density that remains in

a magnetic circuit after the removal of an applied magnetic field.

For discussion purposes, it is better to characterize magnetic

remanence as the magnetic representation of residual information

that remains on magnetic media after the media has been erased.

<P>

Magnetic Saturation. The condition in which an increase in magnetizing

force will produce little or no increase in magnetization.

<P>

Object Reuse. The reassignment to some subject of a medium (e.g.,

page frame, disk sector, or magnetic tape) that contained one

or more objects. To be securely reassigned, no residual data from

the previously contained object(s) can be available to the new

subject through standard system mechanisms.

<P>

Oersted. A unit of magnetic field strength.

<P>

Overwrite Procedure. A procedure to destroy data recorded on AIS

storage media by recording patterns of unclassified data over

the data stored on the media.

<P>

Permanent Magnet Degausser.  Hand-held permanent magnet that generates

a magnetic field for degaussing magnetic storage media.

<P>

Purge.  The removal of sensitive data from an AIS at the end of

a period of processing, including from AIS storage devices and.

other peripheral devices with storage capacity, in such a way

that there is assurance proportional to the sensitivity of the

data that the data may not be reconstructed through open-ended

laboratory techniques.  An AIS must be disconnected from any external

network before a purge.

<P>

Remanence. The residual information that remains on storage media

after erasure.

<P>

Scavenging.  Searching through object residue (file storage space)

to acquire unauthorized data.

<P>

Trusted Computer System Evaluation Criteria (TCSEC). A document

published by the National Computer Security Center containing

a uniform set of basic requirements and evaluation classes for

assessing degrees of assurance in the effectiveness of hardware

and software security controls built into systems. These criteria

are intended for use in the design and evaluation of systems that

will process and/or store sensitive or classified data. This document

is DoD 5200.28-STD and is often called The Criteria or The Orange

Book.

<P>

Trusted Computing Base (TCB).  The totality of protection mechanisms

within a computer system, including hardware, firmware, and software,

the combination of which is responsible for enforcing a security

policy. A TCB consists of one or more components that together

enforce a unified security policy over a product or system.  The

ability of a TCB to correctly enforce a security policy depends

solely on the mechanisms within the TCB and on the correct input

by system administrative personnel of parameters (e.g., a user's

clearance) related to the security policy.

<P>

Trusted Computing System.  A system that employs sufficient hardware

and software integrity measures to allow its use for simultaneously

processing a range of sensitive or classified information.

<P>

Type l Tape. Magnetic tape whose coercivity does not exceed 350

oersteds (also known as low-energy tape).

<P>

Type II Tape. Magnetic tape whose coercivity ranges from 351 oersteds

up to 750 oersteds (also known as high-energy tape).

<P>

Type III Tape. Magnetic tape whose coercivity exceeds 750 oersteds.

<H2>REFERENCES</H2>



<MENU>

<LI>1. Automated Data Processing Security Manual, Department of

Defense Manual, DoD 5200.28-M, January 1973 with change pages

in June 1979 (now under revision).

<LI>2. Care and Handling of Computer Magnetic Storage Media, Department

of Commerce, National Bureau of Standards Special Publication

500-101, June 1983.

<LI>3. Computer Security Evaluation Center, Department of Defense

Directive, DoDD 5215.1,25 October 1982.

<LI>4. Department of the Navy Automated Data Processing Security

Program, Chief of Naval Operations Instruction, OPNAVlNST 5239.1A

with change 1, 3 August 1982.

<LI>5. Department of the Navy Automated Information System Security

Program, Secretary of the Navy Instruction, SECNAVINST 5239.2,

1 November 1989.

<LI>6. &quot;Emergency Destruction of Information Storing Media,&quot;

Institute for Defense Analyses Report, R-321, December 1987.

<LI>7. A Guide to Understanding Configuration Management in Trusted

Systems, National Computer Security Center Technical Guideline,

NCSC-TG-006, Version 1,28 March 1988.

<LI>8. Industrial Security Manual for Safeguarding Classified

Information, Department of Defense Manual, DoD 5220.22-M, June

1987.

<LI>9. Information Systems Security, Army Regulation, AR 380-19,

4 September 1990.

<LI>10. Information Systems Security Products and Services Catalogue,

National Security Agency, quarterly publication.

<LI>11. Katti, Romney R., &quot;Erasure in Magnetic Recording

Media,&quot; doctoral dissertation, Carnegie-Mellon University,

12 April 1988.

<LI>12. Kryder, Mark H., &quot;Data Storage in 2000-Trends in

Data Storage Technologies,&quot; IEEE Transactions on Magnetics,

VoI. 25, No. 6, November 1989.

<LI>13. Magnetic Tape Degausser, National Security Agency/Central

Security Service (NSA/CSS) Specification L1 4-4-A, 31 October

1985.

<LI>14. Mountfield, K. R., and M. H. Kryder, &quot;The Effect

of Erasure in Particulate Disk Media,&quot; IEEE Transactions

On Magnetics, Vol. 25, No. 5, September 1989.

<LI>15. National Policy on Telecommunications and Automated Information

Systems Security, National Security Decision Directive, NSDD 145,

17 September 1984.

<LI>16. Remanence Security, Air Force Systems Security Instruction,

AFSSI 5020,15 April 1991.

<LI>17. Security Requirements for Automated Information Systems,

Department of Defense Directive, DoDD 5200.28, March 1988.

<LI>18. Sharrock, Michael P., &quot;Particulate Magnetic Recording:

A Review,&quot; lEEE Transactions on Magnetics, Vol. 25, No. 6,

November 1989.

<LI>19. &quot;Signal Processing Applications Techniques to Magnetic

Erasrnre Data,&quot; Illinois Institute of Technology, Research

Institute, Final Reports for Projects E06522, K06005, and K06051,

February 1982, September 1982, and March 1984 respectively.

<LI>20. Trusted Computer System Evaluation Criteria, Department

of Defense Standard, DoD 5200.28-STD, December 1985.

<LI>21. Veeravalli, Venugopal V., &quot;Detection of Digital Information

From Erased Magnetic Disks,&quot; masters thesis, Carnegie-Mellon

University, 1987.

<LI>22. Wiesen, Kurt, &quot;Modeling of Magnetic Media,&quot;

masters thesis, Carnegie-~eIlon University, July 1986.

</MENU>



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