Cryptology ePrint Archive: Report 2018/092

Constructions of S-boxes with uniform sharing

Kerem Varici and Svetla Nikova and Ventzislav Nikov and Vincent Rijmen

Abstract: In this paper we focus on S-box constructions. We consider the uniformity property of an S-box which plays an important role in Threshold Implementations (TI). Most papers so far have studied TI sharings for given S-boxes. We proceed in the opposite way: starting from $n$-bit S-boxes with known sharings we construct new $(n+1)$-bit S-boxes from them with the desired sharings. In addition, we investigate the self-equivalency of S-boxes and show some interesting properties.

Category / Keywords: secret-key cryptography / S-box constructions, Threshold implementations, Shannon's expansion

Date: received 25 Jan 2018, last revised 12 Feb 2018

Contact author: svetla nikova at esat kuleuven be

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Version: 20180212:110350 (All versions of this report)

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