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On trinomials of type Xn+m(1 + AXm(q−1) + BXn(q−1)), n, m odd, over Fq2, q = 22s+1
Finite Fields and Their Applications ( IF 1.2 ) Pub Date : 2021-02-11 , DOI: 10.1016/j.ffa.2021.101816 Daniele Bartoli , Marco Timpanella
中文翻译:
上类型的三项式X Ñ +米(1 + AX米(q -1) + BX Ñ(q -1) ),Ñ,中号奇数,过,q = 2 2 s +1
更新日期:2021-02-11
Finite Fields and Their Applications ( IF 1.2 ) Pub Date : 2021-02-11 , DOI: 10.1016/j.ffa.2021.101816 Daniele Bartoli , Marco Timpanella
We provide necessary conditions for polynomials , odd, over , q even, to be permutations. The main tool is the study of algebraic curves associated with the polynomial and in particular the investigation of their singularities.
中文翻译:
上类型的三项式X Ñ +米(1 + AX米(q -1) + BX Ñ(q -1) ),Ñ,中号奇数,过,q = 2 2 s +1
我们提供多项式的必要条件 , 奇怪,结束 ,q甚至是排列。主要工具是研究与多项式相关的代数曲线 尤其是对其奇异性的研究。