TY - JFULL
AU - Areej M. Abduldaim and Nadia M. G. Al-Saidi
PY - 2017/10/
TI - Generalized π-Armendariz Authentication Cryptosystem
T2 - International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering
SP - 421
EP - 427
EM - areejmussab@gmail.com
VL - 11
SN - 1307-6892
UR - http://waset.org/publications/10008011
PU - World Academy of Science, Engineering and Technology
NX - International Science Index 129, 2017
N2 - 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 non-numerical objects. Computer algebra is the implementation of algebraic methods as algorithms and computer programs. Recently, many algebraic cryptosystem protocols are based on non-commutative algebraic structures, such as authentication, key exchange, and encryption-decryption 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.
ER -