The coefficients of primitive polynomials over finite fields-Reference-Cited by-同舟云学术

The coefficients of primitive polynomials over finite fields

Published:1996 Issue:213 Volume:65 Page:331-340
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Han Wen Bao

Abstract

For n ≥ 7 n\ge 7 , we prove that there always exists a primitive polynomial of degree n n over a finite field F q ( q odd ) F_q (q \operatorname {odd}) with the first and second coefficients prescribed in advance.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/1996-65-213/S0025-5718-96-00663-1/S0025-5718-96-00663-1.pdf

Reference12 articles.

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3. H. Davenport, Bases for finite fields, J. London Math. Soc. 43 (1968), 21–39.

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5. T. Hansen and G. L. Mullen, Primitive polynomials over finite fields Math. Comp. 59 (1992), 639–643.

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