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

preprint2015arXivOpen access

Abstract

In the literature, few constructions of nn-variable rotation symmetric bent functions have been presented, which either have restriction on nn or have algebraic degree no more than 44. In this paper, for any even integer n=2m≥2n=2m\ge2, a first systemic construction of nn-variable rotation symmetric bent functions, with any possible algebraic degrees ranging from 22 to mm, is proposed.

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