Public key identification process using two hash functions

Electrical computers and digital processing systems: support – Multiple computer communication using cryptography – Particular communication authentication technique

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713168, 713200, H04L 900

Patent

active

061254452

ABSTRACT:
A process for the identification of a claimant by a verifier. The process is of the public key type, where the public exponent is equal to 3. The claimant draws at random a first exponent .alpha., calculates r=g.sup..alpha. mod n and transmits R=r.sup.3. The verifier draws at random a second exponent .beta., calculates t=g.sup..beta. mod n, calculates T=t.sup.3 mod n and h=H.sub.1 (Z), where H.sub.1 is a hash function, and calculates Z=R.sup.3 mod n. The verifier transmits to the claimant the numbers T and h. The claimant calculates Y=T.sup..alpha. mod n, verifies the result H.sub.1 (Y), calculates H=H.sub.2 (Y), where H.sub.2 is another hash function, calculates z=rS mod n, and transmits z and H. The claimant also has a secret number S equal to the modulo n cubic root of a number I deduced from its identity so that the number S verifies S.sup.3 =I mod n. The verifier verifies that H received is equal to H.sub.2 (Z) and that z.sup.3 is equal to RI mod n.

REFERENCES:
patent: 4995082 (1991-02-01), Schnorr
patent: 5140634 (1992-08-01), Guillou et al.
patent: 5218637 (1993-06-01), Angebaud et al.
patent: 5323146 (1994-06-01), Glaschick
patent: 5502764 (1996-03-01), Naccache
patent: 5790667 (1998-08-01), Omori et al.

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