[Resource Topic] 2015/451: On the Systematic Constructions of Rotation Symmetric Bent Functions with Any Possible Algebraic Degrees

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

Authors: Sihong Su, 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.

ePrint: https://eprint.iacr.org/2015/451

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