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AUTHOR(S): 

Aziz Boulbot, Abdelhakim Chillali, Ali Mouhib

 

TITLE

Cryptographic Protocols on the non-commutative Ring R

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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.

 

KEYWORDS

Finite field, Finite ring, Local ring, Cryptography.

 

REFERENCES

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[2] A. Chillali , Elliptic Curves of the Ring Fq["] , "n = 0, International Mathematical Forum, 2011

[3] M. H. Hassib, A. Chillali and M. Abdou ELOMARY, Special Ideal Ring A3 and Cryptography, IEEE. 2013

[4] N. Koblitz, Elliptic curve cryptosystems, Math. Compute. 1987

[5] W. Diffie and M. Hellman, New directions in cryptography, IEEE Transactions on Information Theory. 22(6), 1976, pp. 644-654.

[6] R.L. Rivest, A. Shamir, and L. Adleman, A method for obtaining digital signatures and public-key cryptosystems, Communications of the ACM. 21(2), 1978, pp. 120-126. 

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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