A Novel Method for Designing S-Boxes Based on Chaotic Logistic Maps Using Cipher Key

Advanced Encryption Standard (AES) block cipher system is widely used in cryptographic applications. Substitution boxes (S-boxes) are keystone of modern symmetric cryptosystems. They bring nonlinearity to cryptosystems and strengthen their cryptographic security. The S-box component that used in classic AES is fixed. If we generate this S-box dynamically, the cryptographic strength of AES cipher system would be increased. In this paper we use Chaotic Logistic Map to generate S-box for AES using its cipher key. The purpose of the proposed approach is to generate more secure S-boxes. The generated S-boxes will increase the complexity and also has better results in security analysis. Proposed S-box is analyzed and tested for the following criteria: avalanche effect, strict avalanche effect, bit independency criterion, nonlinearity, equiprobable input/output XOR distribution and key sensitivity. The results pass all of them which justify that the proposed algorithm is effective in generating strong S-boxes.