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

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arxiv 1505.02875 v1 pith:67LAJWS7 submitted 2015-05-12 cs.IT math.IT

Sihong Su , Xiaohu Tang This is my paper · ORCID
classification cs.ITmath.IT
keywords algebraicbentfunctionsrotationsymmetricconstructionsdegreespossible
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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.

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  1. Affine equivalence for quadratic rotation symmetric Boolean functions

    cs.IT 2019-08 conditional novelty 7.0 of 10

    For quadratic rotation-symmetric Boolean functions, balancedness is determined by the 2-adic valuation of the number of variables, and the monomial functions have explicit weight-recursion polynomials.

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