A conjecture on permutation trinomials over finite fields of characteristic two

2018/09/08 by Nian Li, Li, Nian, Qiaoyu Hu +1
Computer Science · #Coding theory and cryptography #Cryptography and Residue Arithmetic #Cryptographic Implementations and Security

paper · pdf · doi:10.48550/arxiv.1809.02809

Abstract

In this paper, by analyzing the quadratic factors of an 11-th degree polynomial over the finite field \ftwon, a conjecture on permutation trinomials over \ftwon[x] proposed very recently by Deng and Zheng is settled, where n=2m and m is a positive integer with gcd(m,5)=1.

Citations

• Permutation polynomials and group permutation polynomials

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