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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A construction of primitive polynomials over finite fields

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Author(s):
Cardell, Sara D. [1] ; Climent, Joan-Josep [2]
Total Authors: 2
Affiliation:
[1] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, Campinas, SP - Brazil
[2] Univ Alcant, Dept Matemat, Alcant - Spain
Total Affiliations: 2
Document type: Journal article
Source: LINEAR & MULTILINEAR ALGEBRA; v. 65, n. 12, p. 2424-2431, 2017.
Web of Science Citations: 0
Abstract

In this work, a new construction based on companion matrices of primitive polynomials is provided. Given two primitive polynomials over the finite fields F-q and F-qb, we construct a ring isomorphism that transforms the companion matrix of the primitive polynomial over F-qb into a matrix with elements in F-q whose characteristic polynomial is another primitive polynomial over F-q. (AU)

FAPESP's process: 15/07246-0 - Construction, decoding and implementation of F_q linear codes. Performanca of SPC product codes and cryptanalysis of the shrinking generators.
Grantee:Sara Díaz Cardell
Support Opportunities: Scholarships in Brazil - Post-Doctoral