Primitive polynomials over finite fields

Tom Hansen; Gary L. Mullen

doi:10.1090/S0025-5718-1992-1134730-7

Primitive polynomials over finite fields

Tom Hansen
, Gary L. Mullen

Mathematics

Research output: Contribution to journal › Article › peer-review

88 Scopus citations

Abstract

In this note we extend the range of previously published tables of primitive polynomials over finite fields. For each p" < 1050 with p < 97 we provide a primitive polynomial of degree n over Fp. Moreover, each polynomial has the minimal number of nonzero coefficients among all primitives of degree n over _p.

Original language	English (US)
Pages (from-to)	639-643
Number of pages	5
Journal	Mathematics of Computation
Volume	59
Issue number	200
DOIs	https://doi.org/10.1090/S0025-5718-1992-1134730-7
State	Published - Oct 1992

All Science Journal Classification (ASJC) codes

Algebra and Number Theory
Computational Mathematics
Applied Mathematics

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10.1090/S0025-5718-1992-1134730-7

Cite this

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AU - Mullen, Gary L.

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AB - In this note we extend the range of previously published tables of primitive polynomials over finite fields. For each p" < 1050 with p < 97 we provide a primitive polynomial of degree n over Fp. Moreover, each polynomial has the minimal number of nonzero coefficients among all primitives of degree n over p.

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Primitive polynomials over finite fields

Abstract

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