In traditional Hill encryption algorithm, the modulo p multiplication of the invertible matrix and plaintext vector in Galois field GF(p) is used to calculate ciphertext vector, this paper proposed a new Hill encryption derivative algorithm in Galois field GF(2) [x]/p(x) , which took polynomial high-matrix as key matrix. In this new Hill encryption derivative algorithm, it composed plaintext vector of polynomial derived from corresponding plaintext, it selected a column of key matrix as translation increment randomly modulo eighth degree irreducible polynomial p(x) multiplication of the polynomial high-matrix and plaintext vector in Galois field GF(2) [x]/p(x) was done, then carried out modulo eighth degree irreducible polynomial p(x) addition of the product and translation increment in Galois field GF(2) [x]/p(x) , thus it obtained the polynomial ciphertext vector, and achieved the purpose of encrypting the plaintext messages. Because it is more difficult to get plaintext from ciphertext under the condition that p(x) , key matrix and random selected translation vector are unknown, the new Hill encryption derivative algorithm in Galois field GF(2) [x]/p(x) improve the capability for anti-attack.

[2019-09-05] Printed Article /doc/2018.03.0228/v2