METHOD FOR STRONG REMOTE USERS BASED ON GALOIS FIELDS ALGEBRA
Keywords:
irreversible transformation in Galois fields, users authentication, remote users identification, zero-knowledge conceptionAbstract
The new method for implementation of theoretical strong autentification of remote users based on zero-knowledge conception is presented. The proposed method consist of using of mathematical operation of exponentiation on Galois fields instead of modular exponentiation. It allows to speed up of identification process for hardware implementation. The technology of mathematical transformations whose are provided by proposed method are set forth clearly. A numerical example for designed procedures of user registration.
Key words: zero-knowledge conception, remote users identification, users authentication, irreversible transformation in Galois fields.
Bibl.: 5.
References
Schneier B. Applied Cryptography. Protocols. Algorithms and Source codes in C. -Ed.John Wiley, 1996 - 758 pp.
Feige U. Zero knowledge proofs of identity / Feige U.,Fiat A.,Shamir A.// Journal of Cryptology.- v.1.- №.2.- 1988, pp.77-94.
Markovskyy O. Fast subscriber identification based on the zero knowledge principle for multimedia content distribution/ O. Markovskyy, N. Bardis, N. Doukas // International Journal of Multimedia Intelligence and Security 2010 - Vol. 1,- pp.78-82.
Mukhin, V.E., Zacharioudakis Leftherios, Gerasimenko, O.Yu. and Kozeratskiy, M.S. (2017), “Method of zero-knowledge identification of remote users based on the conception of “zero knowledge”, Telecommunikatsiyni ta informatsiyni tekhnologii, Vol. 54, no. 1, pp. 37-45.
Марковський О.П. Використання алгебри полів Галуа для реалізації концепції «нульових знань» при ідентифікації та автентифікації віддалених користувачів /О.П. Марковський, Захаріудакіс Лефтеріс, В.Р. Максимук //Электронное моделирование.-том 39.-№6.-2017.-С.33-46.