Variants of the fiat-shamir identification and signature scheme

H - Electricity – 04 – L

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H04L 9/06 (2006.01) G07F 7/10 (2006.01) H04L 9/32 (2006.01)

Patent

CA 1331642

ABSTRACT A method of proving the identify of an entity comprising the steps of establishing a public key for the entity consisting of a modulus n which is the product of at least two prime numbers, and a sequence of k numbers vl,...,vk; computing a private key for the entity consisting of k numbers sl,...,sk satisfying sjdvj=l (mod n) for all l?j?k, where d is a universally known constant larger than l; transmitting from the entity to a verifier x=rd (mod n) where r is a random number in the range o<r<n; transmitting from the verifier to the entity a sequence of k random numbers el,...,ek in the range o?ej<d; transmitting from the entity to the verifier the value Image (mod n); and verifying the identity of the entity by checking that Image (mod n).

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