On splitting perfect polynomials over Fp2

Gallardo, Luis H.; Rahavandrainy, Olivier

doi:10.4171/PM/1843

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Portugaliae Mathematica

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Volume 66, Issue 3, 2009, pp. 261–273

DOI: 10.4171/PM/1843

Published online: 2009-09-30

On splitting perfect polynomials over F_p²

Luis H. Gallardo^[1] and Olivier Rahavandrainy^[2]

(1) Université de Brest, France
(2) Université de Brest, France

We study some properties of the exponents of the terms appearing in the splitting perfect polynomials over F_p², where p is a prime number. This generalizes the work of Beard et al. over F_p.

Keywords: Sum of divisors, polynomials, finite fields, quadratic extensions, circulant matrices

Gallardo Luis, Rahavandrainy Olivier: On splitting perfect polynomials over F_p². Port. Math. 66 (2009), 261-273. doi: 10.4171/PM/1843