A group theoretic construction of large number of AES-like substitution-boxes

Abstract

Modern block ciphers have been used to design security schemes to fulfil the security requirements in different areas of applications. The substitution boxes, significant components, used in block ciphers must have strong cryptographic strength so as to mitigate different attacks. There is no obvious distribution in the cryptographic properties of S-boxes, which is the main difficulty in creating an S-box. This paper proposes a novel group theoretic construction which can inherit the algebraic properties of S-box and able to construct as many as 2,359,296 different S-boxes. As an illustration, the proposed approach is applied to AES S-box and few S-boxes out of 2,359,296 are reported and assessed against standard performance parameters to validate the proposed findings.