AN ENCRYPTION SCHEME OF POINTS ON THE ELLIPTIC CURVE AND GOLDEN MATRICES
B. RAVI KUMAR *
Department of Mathematics, GIT, GITAM University, Visakhapatnam, India.
A. CHANDRA SEKHAR *
Department of Mathematics, GIT, GITAM University, Visakhapatnam, India.
G. APPALA NAIDU
Department of Mathematics, Andhra University, Visakhapatnam, India.
*Author to whom correspondence should be addressed.
Abstract
Cryptography is the science of writing messages in unknown form using mathematical models. In Cryptography, several ciphers were introduced for the encryption schemes. Recent research focusing on designing various mathematical models in such a way that tracing the inverse of the designed mathematical models is infeasible for the eve droppers. The “golden” matrices are playing vital role in designing cryptographic mathematical models. In this paper, we present a novel approach for encryption using Elliptic curves and golden matrices.
Keywords: Fibonacci Q-matrix, golden matrices, elliptic curve, encryption, decryption