Digital signature algorithm

Cryptography – Particular algorithmic function encoding

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380 30, H04K 100

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active

052316688

ABSTRACT:
A method is provided for generating and verifying a digital signature of a message m. This method requires a pair of corresponding public and secret keys (y and x) for each signer, as well as a pair of public and secret values (r and k) generated for each message by the signer. The public value r is calculated according to the rule r=(g.sup.k mod p) mod q. A value s is then selected according to the rule s=k.sup.-1 (H(m)+xr) mod q where H is a known conventional hashing function. The message m, along with the signature (r,s) is then transmitted. When the transmitted signal is received a verification process is provided. The received values of r and s are tested to determine whether they are congruent to 0 mod g. Additionally, r is tested to determine whether it is equal to v mod q, where v is computed from r, s, m and y. For legitimately executed signatures, v=g.sup.k mod p.

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C. P. Schnorr, letter (8 pages) to Director, Computer Systems Laboratories, ttn: Proposed FIPS, Oct. 30, 1991.
El Gamal, Taher, "A Public Key Cryptosystem and a Signature Scheme Based on Discrete Logarithms", 1III Transactions and Information Theory, vol. IT-31, No. 4, Jul. 1985.

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