Original scientific paper

On unitary splitting perfect polynomials over~$~\F_{p^2}~$

Luis H. Gallardo ; Department of Mathematics, University of Brest 6, Brest Cedex 3, France
Olivier Rahavandrainy ; Department of Mathematics, University of Brest 6, Brest Cedex 3, France

Abstract

We classify some unitary splitting perfect polynomials over a finite field $\F_{p^2}$, where $p$ is a prime number. This
generalizes Beard's work over $\F_p$.

Keywords

unitary divisors; sum of divisors; polynomials; finite fields; quadratic extensions; circulant matrices

Hrčak ID:

53218

URI

https://hrcak.srce.hr/53218

Publication date:

10.6.2010.

Visits: 1.130 *