In this paper, we are continuing the security investigation of the new S-box function based on so-called matrix power function proposed earlier by the same authors. Security is considered against algebraic cryptanalysis. We claim that constructed S-box function is a candidate to be a one-way function since we showed that its inversion is related with oneâ€¦ (More)

The new symmetric cipher S-box construction based on matrix power function is presented. The matrix consisting of plain data bit strings is combined with three round key matrices using arithmetical addition and exponent operations. The matrix power means the matrix powered by other matrix. The left and right side matrix powers are introduced. This operationâ€¦ (More)

In this paper we present the implementation analysis of the matrix power cipher (MPC) in embedded systems. These systems have restricted computation resources, i.e. computation speed and memory. So far the question of fast ciphers construction is very actual since a lot of projects were announced to solve this problem. For example in 2000â€“2003 the NESSIEâ€¦ (More)

The method for a key agreement protocol (KAP) with application of a non-commutative group is presented. The method is based on the two one-way functions (OWFs) and corresponding hard problems. One hard problem is left right factors' search problem (LRFSP) in non-commutative group presentation level, and another one is a postulated hard problem in theâ€¦ (More)

Abstract: Construction of symmetric cipher S-box based on matrix power function and dependant on key is analyzed. The matrix consisting of plain data bit strings is combined with three round key matrices using arithmetical addition and exponent operations. The matrix power means the matrix powered by other matrix. This operation is linked with two soundâ€¦ (More)