AN ADVANCED ENCRYPTION SCHEME WITH BI-PERIODIC FIBONACCI MATRICES ON ECC

In this study, we present a new Elliptic Curve Cryptosystem using the bi-periodic Fibonacci matrix sequence. We propose a new cryptographic method on elliptic curves over a finite field. We map a plaintext matrix constructed from points corresponding to letters on an elliptic curve. The 2m*2m message matrix M is divided into 2*2 block matrices, Bi, for i=1,...,m^2, and each block is multiplied by the corresponding elements of the bi-periodic Fibonacci matrix sequence. Finally, the resulting matrix is multiplied by a permutation matrix to increase the complexity of the encryption algorithm.