Right translated AES gray S‐boxes. Issue 9 (11th September 2014)

• Record Type: Journal Article
• Authors: Khan, Mubashar; Azam, Naveed Ahmed
• Is Part Of: Security and communication networks. Volume 8:Issue 9(2015)
• Page Start: 1627
• Page End: 1635
• Publication Date: 2014-09-11
• Subjects: Computer networks -- Security measures -- Periodicals; Computer security -- Periodicals; Cryptography -- Periodicals; 005.805
• DOI: 10.1002/sec.1110
• Languages: English
• ISSNs: 1939-0114

Abstract

<abstract abstract-type="main"> <title>Abstract</title> <p>This article deals with an algorithm for the generation of impregnable substitution boxes (S‐box). The proposed scheme involves the application of right translation and Gray codes over the original Advanced Encryption Standard (AES) S‐box. Regular representation of Galois field <italic>GF</italic>(2⁸) is used to produce the translational effect in the AES S‐box. The translated AES S‐box is then subjected to Gray codes for the enhancement in their algebraic complexity. The proposed scheme results 256 different cryptographically strong S‐boxes. Several tests such as non‐linearity, bit independence, strict avalanche, linear approximation and differential approximation, algebraic complexity, correlation and histogram are implemented on every newly generated S‐box to analyze their resistance against computational attacks. Furthermore, the newly generated S‐boxes are compared with the existing well‐known S‐boxes. The simulation results indicate that the resistance of proposed S‐boxes against computational attacks including linear, interpolation, differential and algebraic attacks approaches to the optimal values. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract>