Areej M. Abduldaim and Nadia M. G. Al-Saidi Generalized πArmendariz Authentication Cryptosystem
422 - 427
2017
11
9
International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering http://waset.org/publications/10008011
http://waset.org/publications/129
World Academy of Science, Engineering and Technology
Algebra is one of the important fields of mathematics. It concerns with the study and manipulation of mathematical symbols. It also concerns with the study of abstractions such as groups, rings, and fields. Due to the development of these abstractions, it is extended to consider other structures, such as vectors, matrices, and polynomials, which are nonnumerical objects. Computer algebra is the implementation of algebraic methods as algorithms and computer programs. Recently, many algebraic cryptosystem protocols are based on noncommutative algebraic structures, such as authentication, key exchange, and encryptiondecryption processes are adopted. Cryptography is the science that aimed at sending the information through public channels in such a way that only an authorized recipient can read it. Ring theory is the most attractive category of algebra in the area of cryptography. In this paper, we employ the algebraic structure called skew Armendariz rings to design a neoteric algorithm for zero knowledge proof. The proposed protocol is established and illustrated through numerical example, and its soundness and completeness are proved.
International Science Index 129, 2017