Symmetric encryption using Sierpinski fractal geometry

Abstract

Symmetric cryptography uses the same secret key for encryption and decryption. A desirable property of symmetric encryption is termed as avalanche effect by which two different keys produces different cipher text for the same message. Essential properties of fractals are sensitivity to initial conditions and self similarity, which makes two nearby keys to generate different cipher texts. Self similarity property of fractals can be exploited to produce avalanche effect. We propose a symmetric encryption algorithm which uses the fractal geometry of sierpinski triangle. We show that the keys that just differ by one bit generate different cipher texts. Cryptanalysis of the proposed algorithm shows that it is resistant to various attacks and stronger than existing encryption algorithms. © Springer-Verlag 2011.