AUTHOR(S): Aziz Boulbot, Abdelhakim Chillali, Ali Mouhib
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ABSTRACT In this paper we introduce one of the most famous problems in a non commutative ring R. In particular we are interested in cryptography is mainly encryption based on conjugal classical problem in R. We study the problem of conjugal over this non commutative ring. The problem as stated is generally impossible to solve. Next, we describe a new encryption scheme over this ring based on this problem.
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KEYWORDS Finite field, Finite ring, Local ring, Cryptography.
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REFERENCES [1] W. Bosma and H.W. Lenstra , Complete System of Two Addition Laws for Elliptic Curves, Journal of Number Theory. 1995 |
Cite this paper Aziz Boulbot, Abdelhakim Chillali, Ali Mouhib. (2017) Cryptographic Protocols on the non-commutative Ring R. International Journal of Mathematical and Computational Methods, 2, 139-141 |
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