Technology of Information Security
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App. Res. of Comp. Printed Article
Vol. 36, 2019 No. 9
2773-2777,2782

Hill encryption derivative algorithm in Galois field GF(28) with high-matrix as key matrix

Liu Haifenga,b
Lu Kaiyia
Liang Xingliangb
a. College of Electrical & Information Engineering, b. College of Arts & Sciences, Shaanxi University of Science & Technology, Xi'an 710021, China
DOI: 10.19734/j.issn.1001-3695.2018.03.0228

Abstract

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.

Foundation Support

陕西省自然科学基础研究计划—青年项目(2017JQ1026)
陕西省教育厅专项科学研究计划项目(17JK0102)

Publish Information

DOI: 10.19734/j.issn.1001-3695.2018.03.0228
Publish at: Application Research of Computers Printed Article, Vol. 36, 2019 No. 9
Section: Technology of Information Security
Pages: 2773-2777,2782
Serial Number: 1001-3695(2019)09-047-2773-05

Publish History

[2019-09-05] Printed Article

Cite This Article

刘海峰, 卢开毅, 梁星亮. 伽罗瓦域GF(28)上高矩阵为密钥的Hill加密衍生 [J]. 计算机应用研究, 2019, 36 (9): 2773-2777,2782. (Liu Haifeng, Lu Kaiyi, Liang Xingliang. Hill encryption derivative algorithm in Galois field GF(28) with high-matrix as key matrix [J]. Application Research of Computers, 2019, 36 (9): 2773-2777,2782. )

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Application Research of Computers, founded in 1984, is an academic journal of computing technology sponsored by Sichuan Institute of Computer Sciences under the Science and Technology Department of Sichuan Province.

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