Designing Substitution Box Based on the 1D Logistic Map Chaotic System
Meryam Saad Fadhil, Alaa Kadhim Farhan, Mohammad Natiq Fadhil
Abstract
Abstract Many researchers have tried to use the chaotic systems in generating different cryptographic tools, in order to provide high level of security to the data passing through network. In modern symmetric cryptographic systems, one of the most essential functions is a nonlinear mapping Substitution process which is responsible for creating the confusion between plaintext and ciphertext. It replaces each input bits by other bits using the lookup table S-Box. In this paper a new S-Box based on a 1D logistic map chaotic system was designed. The chaotic sequence generated from the 1D logistic map was processed to generate the hexa code values, and after that this hexa code also processed to construct the new good S-Box. This proposal was evaluated using the S-Box tests criteria including avalanche, balanced, completeness, strict avalanche, and invertibility. The analysis results show that the proposed S-Box passes all these statistical tests, has large avalanche effect and therefore the S-Box can avoid many attacks. The construction of both Substitution-Box and its inverse take only few milliseconds, so it can be used in many lightweight block ciphers.