Cryptology ePrint Archive: Report 2015/451

On the Systematic Constructions of Rotation Symmetric Bent Functions with Any Possible Algebraic Degrees

Sihong Su and Xiaohu Tang

Abstract: In the literature, few constructions of $n$-variable rotation symmetric bent functions have been presented, which either have restriction on $n$ or have algebraic degree no more than $4$. In this paper, for any even integer $n=2m\ge2$, a first systemic construction of $n$-variable rotation symmetric bent functions, with any possible algebraic degrees ranging from $2$ to $m$, is proposed.

Category / Keywords: Orbit, rotation symmetric function, Walsh transform, bent function, algebraic degree.

Date: received 11 May 2015

Contact author: sush at henu edu cn

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Version: 20150512:211410 (All versions of this report)

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