, Volume 22, Issue 5, pp 490-497

A new public-key encryption scheme based on LUCas sequence

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Abstract

Investigated the properties of LUCas sequence(LUC), the paper proposed a new variant of (probabilistic) public-key encryption scheme. Security analysis of the proposed encryption schemes shows that its one-wayness is equivalent to partial LUC discrete logarithm problem in Z N, and for the proposed probabilistic encryption scheme, its semantic security is equivalent to decisional LUC Diffie-Hellman problem in Z N. At last, the efficiency of the proposed schemes is briefly analyzed.

Supported by the 973 State Key Project of China (No.G1999035803) and the National Natural Science Foundation of China (No.69931010).
Communication author: Jiang Zhengtao, born in 1976, male, Ph.D. candidate. National Key Lab of Integrated Service Networks, Xidian University, Xi’an 710071, China.