Generation of high order primitive matrix elements with elements of abelian multiplicative groups
Authors: R.Megrelishvili, M.Jinjikhadze
Affiliation: Ivane Javakhishvili Tbilisi State University, Akaki Tsereteli State University
Keywords: matrix one-way function; Abel finite field; asymmetric cryptography; high level matrix multiplicative finite field; primitive matrix element
ABSTRACT. In this paper is considered the original one-way function matrix and it’s corresponding generation method of high level matrix multiplicative finite commutative group. The general method of the insertion-enlarging method of building the primitive elements of the field is derived with elements of the matrix groups with different power.
Mohammad Mehdi Nasrabadi, Ali Gholamian - On A-nilpotent abelian groups - Proceedings - Mathematical Sciences, Springer, November 2014, Volume 124, Issue 4, pp 517–525
Chis̆ C, Chis̆ M and Silberberg G, Abelian groups as autocommutator groups, Arch. Math. (Basel) 90(6) (2008) 490–492