METHOD FOR STRONG REMOTE USERS BASED ON GALOIS FIELDS ALGEBRA

Authors

  • Oleksandr Markovskyi National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Ukraine
  • Viktoriia Maksymuk National Technical University of Ukraine "Igor Sikorsky Kyiv Polytechnic Institute", Ukraine

Keywords:

irreversible transformation in Galois fields, users authentication, remote users identification, zero-knowledge conception

Abstract

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.

Published

2023-11-08

Issue

Section

Global Networks, Grid and Cloud