All perfect polynomials with up to four prime factors over $F_4$

Mathematical Communications

Gallardo, Luis H.¹  Rahavandrainy, Olivier¹ 

[1] Department of Mathematics, University of Brest 6, France

关键词: sum of divisors;    polynomials;    finite fields;    characteristic 2;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: Sveuciliste Josipa Jurja Strossmayera u Osijeku * Odjel za Matematiku / University of Osijek, Department of Mathematics

【 摘 要 】

Aperfectpolynomialoverthefield$\F_4$isamonicpolynomial$A\in\F_4[x]$thatequalsthesumofallitsmonicdivisors.If$\gcd(A,x^4+x)=1$,thenwesaythat$A$isoddover$\F_4$.Inthispaper,wecharacterizeoddperfect...

【 授权许可】

Unknown