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A family of permutation trinomials over Fq2
Finite Fields and Their Applications ( IF 1.2 ) Pub Date : 2020-12-03 , DOI: 10.1016/j.ffa.2020.101781
Daniele Bartoli , Marco Timpanella

Let p>3 and consider a prime power q=ph. We completely characterize permutation polynomials of Fq2 of the type fa,b(X)=X(1+aXq(q1)+bX2(q1))Fq2[X]. In particular, using connections with algebraic curves over finite fields, we show that the already known sufficient conditions are also necessary.



中文翻译:

上的置换三项式族 Fq2

p>3 并考虑一个主要力量 q=pH。我们完全表征了置换多项式Fq2 类型的 F一种bX=X1个+一种Xqq-1个+bX2q-1个Fq2[X]。特别地,使用有限域上具有代数曲线的连接,我们表明,已知的充分条件也是必要的。

更新日期:2020-12-03
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