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Normal Bases over GF(q)

Published:2001-07 Issue:1 Volume:241 Page:89-101
ISSN:0021-8693
Container-title:Journal of Algebra
language:en
Short-container-title:Journal of Algebra

Author:

Chang Yaotsu,Truong T.K,Reed I.S

Publisher

Elsevier BV

Subject

Algebra and Number Theory

Reference12 articles.

1. Y. Chang, A note on the number of irreducible polynomials over GF(q), submitted for publication.

2. Y. Chang, T. K. Truong, I. S. Reed, and, G. L. Mullen, The number of irreducible polynomials of fixed degree and trace over GF(q), submitted for publication.

3. Primitive normal bases with prescribed trace;Cohen;AAECC,1999

4. Galoissche Theorie und Darstellungstheorie;Eisenstein;Math. Ann.,1933

5. On completely free elements in a finite field;Hachenberger;Des. Codes Cryptogr.,1994

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1. A criterion for the normality of polynomials over finite fields based on their coefficients;Finite Fields and Their Applications;2024-01

2. Normal bases and factorization of $$x^n-1$$ in finite fields;Applicable Algebra in Engineering, Communication and Computing;2022-02-02

3. Normal bases and irreducible polynomials;Finite Fields and Their Applications;2018-03

4. Primitive normal polynomials with the first two coefficients prescribed: A revised p-adic method;Finite Fields and Their Applications;2007-07

5. Explicit theorems on generator polynomials;Finite Fields and Their Applications;2005-08

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