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Title:
On permutation polynomials EA-equivalent to the inverse function over GF(2^n)
Authors: Yongqiang Li, Mingsheng Wang
Abstract:It is proved that there does not exist a linearized polynomial L(x)\in\mathbb{F}_{2^n}[x] such that x^{-1}+L(x) is a permutation on \mathbb{F}_{2^n} when n\geq5, which is proposed as a conjecture in \cite{li}. As a consequence, a permutation is EA-equivalent to the inverse function over \mathbb{F}_{2^n} if and only if it is affine equivalent to it when n\geq 5.
ePrint: https://eprint.iacr.org/2010/573
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