Abstract

In this paper, we present an approach to construct cryptographically strong 44-bit S-boxes with pure non-linear 3-quasigroups. PRESENT is a light weight block cipher included in ISO and IEC. The S-box used in PRESENT is optimal in linearity, differential uniformity, branch number and algebraic degree. Our methodology is based on 3-quasigroup operations and it enables someone to get 44-bit S-boxes optimal in all the above four properties that PRESENT S-box has.

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