FIELD: information technology.
SUBSTANCE: method of generating and verifying an electronic digital signature (EDS) involves generating an elliptic curve (EC), given over a prime field GF(p), where p is a prime number of the form p=2k±µg2g±µh2h±1, where k≥99; 0<g<k; 0<h<g; µg∈{0,1};µh∈{0,1}, in form of a set of points, each given by two multidigit binary numbers (MDN) - its abscissa and ordinate; n>2 secret keys are generated in form of MDN k1, k2,…, kn; n public keys are generated from the secret keys in form of points P1, P2,…, Pn; the electronic document (ED) represented by MDN N is received; a collective public key is generated in form of points P of the EC, generated depending on points pα1, pα2,…, pα, where α1, α2,…, αm are natural numbers, 2≤m≤n, αj≤n and j=1, 2,…, m, depending on the received ED from values kα1, kα2,…, kα,m and from points P, EDS Q is generated in form of two MDN e and s; first A and second B verification MDN are generated. At least one of the verification MDN is generated depending on the collective public key P, and MDN A and B are compared. The EDS is authentic if their parameters match.
EFFECT: shorter time for generating and verifying authenticity of a collective electronic digital signature without reducing its stability.
3 cl, 1 app
Authors
Dates
2012-05-10—Published
2011-03-21—Filed