On the Factorization of Trinomials over F3

Pierre Loidreau 1
1 CODES - Coding and cryptography
Inria Paris-Rocquencourt
Abstract : We construct a table giving the parity of the number of factors in the factorization of trinomials over GF(3). The results depend on the value of the degrees of the monomials and their coefficients. We deduce results on the irreducibility of trinomials, on how to diminish the cost of irreducibi- lity testing over GF(3) as well as on the primitivity of trinomials.
Type de document :
Rapport
[Research Report] RR-3918, INRIA. 2000
Liste complète des métadonnées

https://hal.inria.fr/inria-00072735
Contributeur : Rapport de Recherche Inria <>
Soumis le : mercredi 24 mai 2006 - 10:45:37
Dernière modification le : vendredi 25 mai 2018 - 12:02:03
Document(s) archivé(s) le : dimanche 4 avril 2010 - 23:20:06

Fichiers

Identifiants

  • HAL Id : inria-00072735, version 1

Collections

Citation

Pierre Loidreau. On the Factorization of Trinomials over F3. [Research Report] RR-3918, INRIA. 2000. 〈inria-00072735〉

Partager

Métriques

Consultations de la notice

140

Téléchargements de fichiers

175