INDEXED IN 

ISSN 2456-0235

International Journal of Modern Science and Technology

​​​​International Journal of Modern Science and Technology, 1(9), 2016, Pages 300-303. 


A Non-abelian group Cryptography 

S. Iswariya, A. R. Rishivarman
Department of Mathematics, Theivanai Ammal College for Women (Autonomous) Villupuram - 605 401. Tamilnadu, India.

Abstract
Most common public key cryptosystems and public key exchange protocols presently in use, such as the RSA algorithm, Diffie-Hellman, and elliptic curve methods are number theory based and hence depend on the structure of abelian groups. The strength of computing machinery has made these techniques theoretically susceptible to attack and hence recently there has been an active line of research to develop cryptosystems using noncommutative cryptographic platforms. This line of investigation has been given the broad title of noncommutative algebraic cryptography. This was initiated by two public key protocols that used the braid groups. The study of these protocols and the group theory surrounding them has had a large effect on research in infinite group theory. In cryptosystems, the algebraic properties of the platforms are used prominently in both devising cryptosystems and in cryptanalysis. The present paper discusses the potential non-commutative group and associate cryptosystem in detail.

​​Keywords: Non-abelian group; Cryptosystem; Public key; Private key.

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