AUTHENTICATION SCHEMES USING POLYNOMIALS OVER NON-COMMUTATIVE RINGS


AUTHENTICATION SCHEMES USING POLYNOMIALS OVER NON-COMMUTATIVE RINGS

Maheswara Rao Valluri

School of Mathematical &Computing Sciences, College of Engineering, Science & Technology Fiji National University, P.O.Box:7222, Derrick Campus, Suva, Fiji

ABSTRACT

Authentication is a process by which an entity, which could be a person or intended computer, establishes its identity to another entity. In private and public computer networks including the Internet, authentication is commonly done through the use of logon passwords. Knowledge of the password is assumed to guarantee that the user is authentic. Internet business and many other transactions require a more stringent authentication process. The aim of this paper is to propose two authentication schemes based on general non-commutative rings. The key idea of the schemes is that for a given non-commutative ring; one can build polynomials on additive structure and takes them as underlying work structure. By doing so, one can implement authentication schemes, one of them being zero-knowledge interactive proofs of knowledge, on multiplicative structure of the ring. The security of the schemes is based on the intractability of the polynomial symmetrical decomposition problem over the given non-commutative ring.

KEYWORDS

Authentication, Cryptography, Non-commutative rings, Polynomial rings, Protocols, &Security

SOURCE URL

https://wireilla.com/papers/ijcis/V2N4/2412ijcis06.pdf

VOLUME LINK

https://wireilla.com/ijcis/vol2.html




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