A Novel Construction of S^sub 16^ AES S-boxes

A construction method of S^sub 8^ S-boxes is given in [6]. These S^sub 8^ S-boxes are generated by the action of symmetric group S^sub 8^ on AES S-box and these are 40320 in number. In this paper, we bounce a new method for the construction of 8 × 8 S-boxes. Instead of symmetric group S^sub 8^, an a...

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Veröffentlicht in:International journal of computer science and information security 2016-08, Vol.14 (8), p.810
Hauptverfasser: Siddiqui, Nasir, Afsar, Umar, Shah, Tariq, Qureshi, Ayesha
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Sprache:eng
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Zusammenfassung:A construction method of S^sub 8^ S-boxes is given in [6]. These S^sub 8^ S-boxes are generated by the action of symmetric group S^sub 8^ on AES S-box and these are 40320 in number. In this paper, we bounce a new method for the construction of 8 × 8 S-boxes. Instead of symmetric group S^sub 8^, an action of symmetric group S^sub 16^ is performed on AES S-box. Accordingly, 16! (20922789888000) new S^sub 16^S-boxes are generated. We analyze the strength of the proposed S-boxes by Balance property, Nonlinearity test (NL), Bit Independence Criterion (BIC), Linear Approximation Probability (LP), Strict Avalanche Criterion (SAC) and Differential Approximation Probability (DP). In addition, by Majority Logic Criterion (MLC) an application of these new S-boxes is observed for image encryption. Furthermore, we evaluate the results of these analyses with AES, APA, Gray, S^sub 8^AES, Skipjack, Xyi and Residue prime S-box to know the rank of our proposed S-boxes comparative to other S-boxes. The generated S-boxes are also used to construct m^sup 16!^ (m ≤ 16!)secret keys that are applied to AES in order to make it more secure.
ISSN:1947-5500