WikiPatents - Community Patent Review
Create Free Account  |  License or Sell Your Patent  |  WikiPatents Marketplace  |  WikiPatents Blog
Username:  Password:  
    
Advanced Search
Method and system for personal identification using proofs of legitimacy    
United States Patent4995081   
Link to this pagehttp://www.wikipatents.com/4995081.html
Inventor(s)Leighton; Frank T. (965 Dedham St., Newton Center, MA 02159); Micali; Silvio (224 Upland Rd., Cambridge, MA 02140)
AbstractThe method and system for the invention utilizes any of a number of "proofs of legitimacy" to generate and verify a personal identification card. A card is generated by computing a digital signature of a non-secret password. The password and the digital signature are then encoded and stored on a magnetic stripe or other memory device of the card. To effect a transaction, the digital signature on a received card must be shown to have been generated from the password on the received card. The password preferably includes a digitized photograph of the authorized cardholder which is capable of being displayed at the transaction terminal. This enables the operator of the terminal to verify the identity of the cardholder by visual inspection.
   














 Title Information Submit all comments and votes
 
Patent Text Patent PDF Print Page Summary File History
Plain text PDF images Print Summary File History
Inventor     Leighton; Frank T. (965 Dedham St., Newton Center, MA 02159); Micali; Silvio (224 Upland Rd., Cambridge, MA 02140)
Owner/Assignee    
Patent assignment
All assignments
Publication Date     * February 19, 1991
Application Number     07/432,130
PAIR File History     Application Data   Transaction History
Image File Wrapper   Patent Term   Fees
Litigation
Filing Date     November 6, 1989
US Classification     713/186 235/379 235/380 235/382 283/107 283/904 380/30 705/44 705/72 713/174 713/180 902/4
Int'l Classification     H04K 001/00
Examiner     Buczinski; Stephen C.
Assistant Examiner     Gregory; Bernarr Earl
Attorney/Law Firm     Judson; David H.
Address
Parent Case     This application is a continuation-in part of prior copending application Ser. No. 07/170,734, filed Mar. 21, 1988, now U.S. Pat. No. 4,879,747.
Priority Data    
USPTO Field of Search     364/409 235/379 235/380 235/382 380/23 380/24 380/25 380/30 340/825.31 340/825.34
Patent Tags     personal identification proofs legitimacy
   
Enter a comma (,) or semicolon (;) between multiple tag words/phrases.
Describe this patent:
 Amusing   
 Clever   
 Complex   
 Efficient   
 Historic   
 Important   
 Innovative   
 Interesting   
 Practical   
 Simple   
[no votes]
Patent WIKI

Share information and news about this patent, including information and news about the technology, inventors, company, ligation and licensing.

 References Submit all comments and votes
 
*references marked with an asterisk below are user-added references
 U.S. References
 
Add a new US reference:  
ReferenceRelevancyCommentsReferenceRelevancyComments
3154761



[0 after 0 votes]
3383657



[0 after 0 votes]
4882779
Rahtgen
705/72
Nov,1989

[0 after 0 votes]
4879747
Leighton
713/186
Nov,1989

[0 after 0 votes]
4731841
Rosen
713/159
Mar,1988

[0 after 0 votes]
4729128
Grimes
382/116
Mar,1988

[0 after 0 votes]
4712103
Gotanda
340/5.53
Dec,1987

[0 after 0 votes]
4636622
Clark
235/380
Jan,1987

[0 after 0 votes]
4590470
Koenig
340/5.74
May,1986

[0 after 0 votes]
4529870
Chaum
235/380
Jul,1985

[0 after 0 votes]
4501957
Perlman
235/379
Feb,1985

[0 after 0 votes]
4453074
Weinstein
705/66
Jun,1984

[0 after 0 votes]
4438824
Mueller-Schloer
713/185
Mar,1984

[0 after 0 votes]
4315101
Atalla
705/75
Feb,1982

[0 after 0 votes]
4281215
Atalla
705/72
Jul,1981

[0 after 0 votes]
4140272
Atalla
235/380
Feb,1979

[0 after 0 votes]
4138058
Atalla
235/380
Feb,1979

[0 after 0 votes]
3896266
Waterbury
379/114.19
Jul,1975

[0 after 0 votes]
3764742
Abbott
713/185
Oct,1973

[0 after 0 votes]
3581282
Altman
206/521.1
May,1971

[0 after 0 votes]
3576537
Ernst
137/414
Apr,1971

[0 after 0 votes]
3569619
Simjian
435/34
Mar,1971

[0 after 0 votes]
4634808
Moerder
380/29
Dec,1969

[0 after 0 votes]
 Foreign References
 Other References
 Market Review Submit all comments and votes
   
Market Size
Estimate the gross annual revenues of the relevant market sector:
> $10B
$5B - $10B
$2B - $5B
$500M - $2B
$100M - $500M
$10M - $100M
$1M - $10M
$500K - $1M
$100K - $500K
< $100K
[No votes]
$0
 
$0   $2.5B   $5B   $7.5B   $10B
Market Share
Estimate the percentage of the relevant market sector this invention will capture:
75% - 100%
50% - 74.99%
25% - 49.99%
10 - 24.99%
5 - 9.99%
2 - 4.99%
1 - 1.99%
< 1%
[No votes]
0.0%
 
0%   25%   50%   75%   100%
Reasonable Royalty
What percentage of gross sales should the inventor or assignee be paid?
75% - 100%
50% - 74.99%
25% - 49.99%
10 - 24.99%
5 - 9.99%
2 - 4.99%
1 - 1.99%
< 1%
[No votes]
0.0%
 
0%   25%   50%   75%   100%
Public's "Guesstimation" of Royalty Value
Market SizeN/A[No votes]
xMarket ShareN/A[No votes]
xReasonable RoyaltyN/A[No votes]

N/A

License Availablity
If you are NOT the owner or assignee, answer here:
Yes, license is available for purchase

No, license is not currently available



[No votes]
License Availablity
If you ARE the owner or assignee, answer here:
Yes, license is available for purchase

No, license is not currently available



[No votes]
Competitive Advantage
Does this invention have a significant competitive advantage over similar technologies?
Yes

No



[No votes]
Most helpful competitive advantage comment
[No comments]

Commercial Alternatives
Are there viable commercial alternatives for this invention?
Yes

No



[No votes]
Most helpful commercial alternative comment
[No comments]

 Technical Review Submit all comments and votes
 Claims Submit all comments and votes
 


We claim:

1. A method for enabling an authorized user of a personal identification card to effect a transaction using a transaction terminal, comprising the steps of:

generating a first data string having a portion thereof which is derived from a physical characteristic of the authorized user and need not be retained secret;

digitally signing the first data string to generate a signature corresponding to the first data string;

encoding the first data string and the signature using a predetermined encoding function to generate an encoded first data string/signature;

storing the encoded first data string/signature on the personal identification card;

receiving the personal identification card at the transaction terminal;

decoding the encoded first data string/signature on the received personal identification card to generate the first data string and a received signature;

digitally verifying whether the received signature can be generated from the first data string;

if the received signature can be generated from the first data string, generating an indication that the signature is valid;

generating a representation from the first data string; and

displaying the representation and the indication on a display of the transaction terminal to enable an operator thereof to verify that the user is authorized to effect a transaction using the personal identification card.

2. The method as described in claim 1 wherein the digital signing and digital verify steps use a private key of a private key cryptosystem.

3. The method as described in claim 1 wherein the digital signing step uses a private key of a public-key cryptosystem pair and the digital verify step uses a public key of the public-key cryptosystem pair.

4. The method as described in claim 1 wherein the encoding function is an error-correcting function, an encryption function or an identify mapping function.

5. The method as described in claim 4 wherein one of the functions is applied to the first data string and another one of the functions is applied to the signature.

6. The method as described in claim 1 further including the step of:

augmenting the first data string to include data representing one or more facts about the authorized user.

7. The method as described in claim 1 further including the step of:

augmenting the first data string to include one or more codewords, each of said codewords authorizing a specific transaction using the personal identification card.

8. A method for enabling an authorized user of a personal identification card to effect a transaction using a transaction terminal, the personal identification card having stored therein a first data string having a portion thereof which is derived from a physical characteristic of the authorized user and need not be retained secret, and a signature of the first data string, comprising the steps of:

receiving the personal identification card at the transaction terminal;

digitally verifying whether the signature on the personal identification card received at the transaction terminal can be generated from the first data string;

if the signature can be generated from the first data string, generating an indication that the signature is valid;

generating a representation from the first data string; and

displaying the representation and the indication on a display of the transaction terminal to enable an operator thereof to verify that the user is authorized to effect a transaction using the personal identification card.

9. The method as described in claim 8 wherein the steps of generating a representation from the first data string and displaying the representation are carried out at or before the step of digitally verifying whether the signature can be generated from the first data string.

10. The method as described in claim 8 wherein the signature of the first data string and the step of digitally verifying the signature use a private key of a private key cryptosystem.

11. A method for enabling an authorized user of a personal identification card to effect a transaction using a transaction terminal, the personal identification card having a processor and a storage area, the storage area for storing a data string having a portion thereof which is derived from a physical characteristic of the authorized user and some other authorizing information, comprising the steps of:

(a) receiving the personal identification card at the transaction terminal;

(b) exchanging one or more messages between the personal identification card and the transaction terminal to enable the transaction terminal to verify whether the personal identification card contains the authorizing information;

(c) if the transaction terminal verifies that the personal identification card contains the authorizing information, generating an indication that the authorizing information is valid;

(d) generating a representation from the data string; and

(e) displaying the representation and the indication on a display of the transaction terminal to enable an operator thereof to verify that the user is authorized to effect a transaction using the personal identification card.

12. The method as described in claim 11 wherein the authorizing information is a signature of the data string.

13. The method as described in claim 11 wherein the authorizing information is not the messages exchanged between the personal identification card and the transaction terminal.

14. The method as described in claim 11 wherein the exchanging of the one or more messages constitutes a proof of legitimacy of the authorized user.

15. A method for enabling an authorized user of a personal identification card to effect a transaction using a transaction terminal, the personal identification card having a processor and a storage area, the storage area for storing a data string Q, a value j equal to the one of the factors .+-.1 mod M and .+-.2 mod M that causes the product of j and Q modulo M to be a perfect square modulo M, and a signature z of the data string equal to the square root of the product, and where M equals a product of P.sub.1 multiplied by P.sub.2 and P.sub.1 and P.sub.2 are secret prime numbers, comprising the steps of:

(a) receiving the personal identification card at the transaction terminal;

(b) determining whether a predetermined number of legitimacy checks have been carried out on the personal identification card;

(c) if the predetermined number of legitimacy checks have not been carried out, exchanging one or more messages between the personal identification card and the transaction terminal to enable the transaction terminal to verify whether the personal identification card contains the signature z;

(d) if the transaction terminal verifies that the personal identification card contains the signature z, repeating step (b);

(e) if the predetermined number of legitimacy checks have been carried out, generating an indication that the signature z is valid;

(f) generation a representation from the data string; and

(g) displaying the representation and the indication on a display of the transaction terminal to enable an operator thereof to verify that the user is authorized to effect a transaction using the personal identification card.

16. The method as described in claim 15, wherein the data string Q is a password mapped using a predetermined function F, the password having a portion thereof that is derived from a physical characteristic of the user and need not be retained secret.

17. The method as described in claim 15 wherein step (c) comprises the steps of:

generating a random number x modulo M in the personal identification card;

computing, in the personal identification card, the square y of the random number x modulo M and providing y to the transaction terminal;

assigning, at the transaction terminal, a first or second value to a bit and sending the bit to the personal identification card;

determining, in the personal identification card, whether the bit received from the transaction terminal has the first or second value;

if the bit having the first value has been received from the transaction terminal, providing W=x modulo M from the personal identification card to the transaction terminal;

determining, in the transaction terminal, whether the square of W equals y;

if the square of W equals y, repeating step (b);

if the square of W does not equal y, rejecting the personal identification card;

if the bit having the second value has been received from the transaction terminal, computing W=xz modula M in the personal identification card and providing W from the personal identification card to the transaction terminal;

determining, in the transaction terminal, whether the square of W equals the product yjQ modulo M;

if the square of W equals the product yjQ modulo M, repeating step (b); and

if the square of W does not equal the product yjQ modulo M, rejecting the personal identification card.
 Description Submit all comments and votes
 


TECHNICAL FIELD

The present invention relates generally to personal identification schemes and more particularly to a method and system for issuing authorized personal identification cards and for preventing unauthorized use thereof during transaction processing.

BACKGROUND OF THE INVENTION

Password based protection schemes for credit cards or other personal identification cards are well-known in the prior art. Such cards typically include a memory comprising a magnetic tape or other storage media affixed to the card. They may also include a data processing capability in the form of a microprocessor and an associated control program. In operation, a card issuer initially stores in the memory a personal identification number, i.e., a secret password, as well as a value representing a maximum dollar amount To effect a transaction, the card is placed in a terminal and the user is required to input his or her password If the terminal verifies a match between the user-inputted password and the password stored on the card, the transaction is allowed to proceed. The value of the transaction is then subtracted from the value remaining on the card, and the resulting value represents the available user credit.

Techniques have also been described in the prior art for protecting against the illegitimate issuance of credit cards such as the type described above. In U.S. Pat. No. 4,453,074 to Weinstein, each such card has stored therein a code which is the encryption of a concatenation of a user's secret password and a common reference text. The encryption is derived in an initialization terminal through the use of a private key associated with the public-key of a public-key cryptosystem key pair. In operation, a cardholder presents his or her card to a transaction terminal. The terminal decrypts the stored code on the card in accordance with the public-key of the public-key cryptosystem pair. A transaction is effected only if the stored code decrypts into the user password, inputted on a keyboard by the cardholder, and the common reference text.

While the method described in the Weinstein patent provides an adequate protection scheme for preventing the fraudulent issuance of credit cards, this scheme requires each user to have a secret or "private" password which must be memorized and inputted into the transaction terminal. Weinstein also requires additional circuitry for concatenting the user's secret password with the common reference text. This latter requirement, while purportedly required to insure the integrity of the protection scheme, increases the complexity and the cost of the system.

It would therefore be desirable to provide an improved method for issuing personal identification cards using a public-key cryptosystem or other "proof of legitimacy" in which a "secret" password need not be memorized by the authorized user or concatenated with a common reference text to maintain the system security.

BRIEF SUMMARY OF THE INVENTION

The present invention describes a method and system for issuing authorized personal identification cards and for preventing the unauthorized use thereof using a public-key cryptosystem, a private-key cryptosystem, a proof of possession of authorizing information such as a valid digital signature, or any other type of "proof of legitimacy."

According to one feature of the invention, each authorized user of a card is assigned a password having a portion thereof which is generated from a representation of some non-secret or "public" characteristic of the user. The password is then processed to produce a digital "signature" which, along with the password, is thereafter stored on the card. To authorize a transaction at a transaction terminal, the digital signature from a received card must first be shown to have been generated from the password on the received card. The password is also processed at the transaction terminal to display a representation of the "public" characteristic encoded thereon The public characteristic is then verified by an operator of the transaction terminal before a transaction is authorized.

In the preferred embodiment, the password includes data representing a pictorial representation of a physical characteristic (e.g., the face, fingerprint, voice sample or the like) of the authorized user. Alternatively, or in addition to the pictorial representation data, the password may contain other data pertinent to the user, such as the user's age, address, nationality, security clearance, bank account balance, employer, proof of ownership, or the like. The password may also include one or more codewords, each of the codewords authorizing a specific transaction such as permission to receive certain funds on a certain date, permission to see classified documents, permission to enter into a country on a certain date (i.e., a visa), attestation to perform certain acts, or the like. Although not meant to be limiting, the personal identification card may be a credit card, a driver's license, a passport, a membership card, an age verification card, a bank card, a security clearance card, a corporate identification card or a national identification card.

BRIEF DESCRIPTION OF THE DRAWINGS

For a more complete understanding of the present invention and the advantages thereof, reference is now made to the following Description taken in conjunction with the accompanying Drawings in which:

FIG. 1 is a schematic representation of one type of personal identification card according to the invention, the card having a picture of a physical characteristic of an authorized user of the identification card;

FIG. 1A is a diagrammatic representation of a portion of a magnetic stripe of the personal identification card of FIG. 1 showing a "password" generated in part from the picture on the identification card;

FIG. 2 is a general flowchart diagram of the preferred method of the present invention for issuing an authorized personal identification card such as shown in FIG. 1;

FIG. 3 is a detailed flowchart diagram of the digital signing routine of FIG. 2;

FIG. 3A is a flowchart diagram of a routine for selecting the secret prime numbers of the private key (P.sub.1,P.sub.2);

FIG. 4 is a general flowchart diagram of the preferred method of the present invention for preventing unauthorized use of the personal identification card of FIG. 1 which is issued according to the method of FIG. 2;

FIG. 5 is a detailed flowchart diagram of the digital verifying routine of FIG. 4

FIG. 6 is a block diagram of a representative multi-issuer system according to the present invention;

FIG. 7 is a flowchart diagram of an alternate embodiment of the invention wherein a private-key cryptosystem is used to generate a digital signature of a password;

FIG. 8 is a flowchart diagram of yet another embodiment of the present invention wherein a personal identification card is verified by the cardholder's proof of possession of authorizing information such as a valid signature.

DETAILED DESCRIPTION

With reference now to the drawings wherein like reference numerals designate like or similar parts or steps, FIG. 1 is a schematic representation of a personal identification card 10 for use according to the present invention for effecting transactions via a transaction terminal. As noted above, the term "personal identification card" according to the present invention is to be read expansively and is deemed to cover credit cards or other commonly known forms of identification such as a passport, a driver's license, a membership card, an age identification card, a security clearance card, a corporate identification card, a national identification card, or the like.

Personal identification card 10 in FIG. 1 is a driver's license. Card 10 includes a body portion 12 having a display 14 and a memory 16. Although not meant to be limiting, the memory 16 is preferably a magnetic stripe or similar media, or an electronic memory such as a PROM, affixed to or embedded in the card in a known manner. The personal identification card may or may not include an integral microprocessor embedded in the body portion. As seen in FIG. 1, the display 14 of the personal identification card 10 supports a pictorial representation 18 of a physical characteristic of the authorized user; e.g., the user's face. Of course, the display 14 may also display pictorial representations of other physical features of the user such as the user's fingerprint or palm print.

Referring now to FIG. 1A, according to the present invention the memory 16 of the personal identification card 10 preferably includes a "password" 20 unique to the authorized user and having a portion 20a thereof which is generated from a representation of some non-secret or "public" characteristic of the user. As used herein, the term "non-secret" refers to the fact that the representation of the authorized user, such as the user's face, is readily ascertainable by viewing and comparing the personal identification card and the authorized user directly. In the preferred embodiment, the section 20a of the password is a digital bitstream representing a digitized version of the pictorial representation 18 on the personal identification card 10.

As also seen in FIG. 1A, the password 20 may include a portion 20b having data representing one or more personal facts about the authorized user such as the user's age, address, nationality, security clearance, employer, bank account balance, eye color, height, weight, mother's maiden name, or any other such information. This information may or may not be public. Moreover, the password 20 may further include a portion 20c having one or more codewords, each of the codewords authorizing a specific transaction such as permission to enter a country on a certain date, permission to receive certain funds on a certain date, permission to review certain classified documents, or one or more other such specific transactions. Of course, the password 20 may include one or more of the predetermined types of data, 20a, 20b, and/or 20c, shown in FIG. 1A.

As also seen in FIG. 1A, the memory 16 of the personal identification card 10 also includes a signature 22, which, as will be described in more detail below, is derived from the password 20 using the private key of a "public-key cryptosystem" key pair. A "public-key cryptosystem" is a well known security scheme which includes two "keys," one key which is public (or at least the key pair owner does not really care if it becomes public) and one key which is private or non-public. All such public-key cryptosystem pairs include a common feature -- the private key cannot be determined from the public-key.

Referring now to FIG. 2, a general flowchart diagram is shown of the preferred method of the present invention for issuing an authorized personal identification card 10 such as shown in FIG. 1. At step 30, the card issuer collects the necessary personal data from a card applicant. Although not meant to be limiting, this data preferably includes a pictorial representation of a physical characteristic of the authorized user. For example, the data may include a photograph of the card applicant. At step 32, the photograph, other personal data and/or code authorizations are processed to generate a password as described above in FIG. 1A.

At step 34, the password is mapped with a predetermined one way function "F" to generate a mapped password "Q" which may have a length substantially less than the length of the password. This "mapping" step is typically required to reduce the length of the digital bitstream comprising the password, especially when a digitized photograph of the authorized user is stored therein. By way of example only, the predetermined one-way function "F" may be any one or more of several well-known, i.e., public, hashing functions such as one obtainable from the DES scheme or the Goldwasser, Micali & Rivest scheme Alternatively, the function "F" may be an identity function which simply transfers the password through step 34 without modification. The identity function might be used where the password length is sufficiently smaller than the available storage capability of the memory 16.

At step 36, the method continues to "digitally sign" the mapped password "Q" with a private key (P.sub.1,P.sub.2) of a public-key cryptosystem pair to generate a so-called "signature". As will be described in more detail below, in the preferred embodiment "P.sub.1 " and "P.sub.2 " are secret prime numbers and the public-key cryptosystem pair includes a public-key "M" which is equal to "P.sub.1 .multidot.P.sub.2 ". At step 38, the method encodes the password (as opposed to the mapped password) and the signature with an error-correcting code to generate an encoded password/signature. Step 38 insures that the card 10 will be usable even if some of its data is destroyed. At step 40, the encoded password/signature is stored on the personal identification card in the manner substantially as shown in FIG. 1A.

Although not shown in detail in FIG. 2, it should be appreciated that the card issuer may digitally sign one or more digital signatures on the card 10 at one or more different times using different public-key cryptosystem pair keys. The card could then function as a passport with each signature derived from a different cryptosystem key pair corresponding to a different country (i.e., a visa). It may also be desirable in the method of FIG. 2 to include an additional encryption step wherein the password is encrypted with a predetermined function prior to the mapping step and/or where the signature itself is encrypted. This enables the card to carry information which is desired to be maintained highly confidential even if the card were lost or stolen

Referring now to FIG. 3, a detailed flowchart diagram is shown of the preferred digital signing routine of the present invention. As described above, "M" is the public-key of the public-key cryptosystem and (P.sub.1,P.sub.2) is the private key thereof. According to the routine, the secret prime numbers "P.sub.1 " and "P.sub.2 " are selected at step 42 such that when the mapped password Q is multiplied by four predetermined factors, .+-.1 modulo "M" and .+-.2 modulo "M," one and only one of the resulting values .+-.Q mod M and .+-.2Q mod M is a quadratic residue modulo "M". The security of the preferred digital signing routine is based primarily on the fact that is it extremely difficult to compute the square root of the quadratic residue modulo "M" without knowing the factorization of M =P.sub.1 .multidot.P.sub.2.

Referring back to FIG. 3, at step 44 the mapped password "Q" is multiplied by each of the factors .+-.1 mod M and .+-.2 mod M. The routine continues at step 46 wherein each of the resulting values .+-.Q mod M and .+-.2Q mod M are evaluated to locate the quadratic residue mod "M". When this value is located, the routine computes the square root thereof at step 48 to generate the digital signature.

Although not shown in detail, it should be appreciated that the private key may include any number of secret prime numbers (P.sub.1,P.sub.2,P.sub.3, . . P.sub.n). Preferably, the secret prime numbers are selected according to the routine shown in FIG. 3A. At step 35, an n-bit random number "x.sub.1 " is generated. The number of bits "n" needs to be large enough (e.g., 250 bits) such that it is difficult to factor "M" At step 37, x.sub.1 is incremented to be congruent to a predetermined value, e.g., "3 mod 8". At step 39, a test is made to determine if x.sub.1 is prime. If so, then the routine continues at step 41 by setting x.sub.1 =P.sub.1. If xl is not prime, then x.sub.1 is incremented at step 43 (by setting x.sub.1 =x.sub.1 +8) and the routine returns to step 39. Once P.sub.1 is selected, the routine continues at step 45 to generate another n-bit random number "x.sub.2 ". At step 47, x.sub.2 is incremented to be congruent with a second predetermined value, e.g., "7 mod 8". At step 49, a test is made to determine if x.sub.2 is prime. If so, then the routine continues at step 51 by setting x.sub.2 =P.sub.2. If x.sub.2 is not prime, then x.sub.2 is incremented at step 53 (by setting x.sub.2 =x.sub.2 +8) and the routine returns to step 49. Once P.sub.2 is selected the public-key "M" is set equal to P.sub.1 .multidot.P.sub.2 at step 55.

It is also desirable to store P.sub.1 and P.sub.2 in the issuing terminal responsible for computing signatures. Moreover, it is possible to distribute the private key (P.sub.1,P.sub.2) from one terminal to another without any person being able to discern the key by using another public-key cryptosystem pair (for which the private key is known only to the receiving terminal). Moreover, while the digital signing routine of FIG. 3 is preferred, other schemes, such as RSA, the Goldwasser, Micali & Rivest scheme and/or the Rabin scheme, may be used. Such schemes may also require knowledge of the public-key, although the