Even perfect polynomials over $F_2$ with four prime factors
| dc.creator | Gallardo, Luis H. | |
| dc.creator | Rahavandrainy, Olivier | |
| dc.date | 2007-12-16 | |
| dc.date.accessioned | 2026-07-07T08:49:36Z | |
| dc.date.available | 2026-07-07T08:49:36Z | |
| dc.description | A perfect polynomial over the binary field $\F_2$ is a polynomial $A \in \F_2[x]$ that equals the sum of all its divisors. If $\gcd(A,x^2-x) \neq 1$ then we call $A$ even. The list of all even perfect polynomials over $\F_2$ with at most 3 prime factors in known. The object of this paper is to give the list of all even perfect polynomials over $\F_2$ with four prime factors. These are all the known perfect polynomials with four prime factors over $\F_2$. | |
| dc.description | 19 pages (in 12 pt) | |
| dc.identifier | https://arxiv.org/abs/0712.2602 | |
| dc.identifier | http://arxiv.org/abs/0712.2602 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/144354 | |
| dc.subject | Number Theory | |
| dc.subject | 11T55; 11T06 | |
| dc.title | Even perfect polynomials over $F_2$ with four prime factors | |
| dc.type | text |