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

摘要

Aperfectpolynomialoverthefield$F_4$isamonicpolynomial$AinF_4[x]$thatequalsthesumofallitsmonicdivisors.If$gcd(A,x^4+x)=1$,thenwesaythat$A$isoddover$F_4$.Inthispaper,wecharacterizeoddperfect...