S-Boxes Based on Affine Mapping and Orbit of Power Function

• DOI: 10.1007/s13319-015-0043-x
• Publication Date: 2015-03-16T02:12:16Z
• Authors: Mubashar Khan; Naveed Ahmed Azam
• Keywords: 0202 electrical engineering, electronic engineering, information engineering; 02 engineering and technology

The demand of data security against computational attacks such as algebraic, differential, linear and interpolation attacks has been increased as a result of rapid advancement in the field of computation. It is, therefore, necessary to develop such cryptosystems which can resist current cryptanalysis and more computational attacks in future. In this paper, we present a multiple S-boxes scheme based on affine mapping and orbit of the power function used in Advanced Encryption Standard (AES). The proposed technique results in 256 different S-boxes named as orbital S-boxes. Rigorous tests and comparisons are performed to analyse the cryptographic strength of each of the orbital S-boxes. Furthermore, gray scale images are encrypted by using multiple orbital S-boxes. Results and simulations show that the encryption strength of the orbital S-boxes against computational attacks is better than that of the existing S-boxes.