New Matrix-Sets Generation and the Cryptosystems

Abstract:- The aim of this paper is to give the new generation of the sets of matrices, which are isomorphic to Galois Field nn × ()n2GF. The order of primitive matrices of a multiplicative group is. On that ground the matrix- key exchange algorithm via public channel, as analogous of Diffie-Hellman protocol and the algorithm of message encryption – decryption with key-exchange by public-channel are constructed. It is shown that these cryptosystems are not breaking with chosen-plaintext attack and they are generally faster than well-known public-key algorithms. 12 − = n