Emergent Mind
On the Systematic Constructions of Rotation Symmetric Bent Functions with Any Possible Algebraic Degrees
(1505.02875)
Published May 12, 2015
in
cs.IT
and
math.IT
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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