Self-reciprocal irreducible polynomials over finite fields

Joseph L. Yucas; Gary L. Mullen

doi:10.1023/B:DESI.0000036251.41345.1f

Self-reciprocal irreducible polynomials over finite fields

Joseph L. Yucas
, Gary L. Mullen

Mathematics

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

26 Scopus citations

Abstract

The classification of monic self-reciprocal irreducible polynomials over finite fields was discussed. The orders of all self-reciprocal irreducible polynomials over F _q was determined. F _Q denote the finite field containing q elements, where q=p ^e is a prime power. The classification was concluded with a different count of the number of self-reciprocal irreducible polynomials and with a factorization of certain cyclotomic polynomials over F _q.

Original language	English (US)
Pages (from-to)	275-281
Number of pages	7
Journal	Designs, Codes, and Cryptography
Volume	33
Issue number	3
DOIs	https://doi.org/10.1023/B:DESI.0000036251.41345.1f
State	Published - Nov 2004

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Computer Science Applications
Discrete Mathematics and Combinatorics
Applied Mathematics

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10.1023/B:DESI.0000036251.41345.1f

Cite this

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title = "Self-reciprocal irreducible polynomials over finite fields",

abstract = "The classification of monic self-reciprocal irreducible polynomials over finite fields was discussed. The orders of all self-reciprocal irreducible polynomials over F q was determined. F Q denote the finite field containing q elements, where q=p e is a prime power. The classification was concluded with a different count of the number of self-reciprocal irreducible polynomials and with a factorization of certain cyclotomic polynomials over F q.",

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AU - Mullen, Gary L.

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AB - The classification of monic self-reciprocal irreducible polynomials over finite fields was discussed. The orders of all self-reciprocal irreducible polynomials over F q was determined. F Q denote the finite field containing q elements, where q=p e is a prime power. The classification was concluded with a different count of the number of self-reciprocal irreducible polynomials and with a factorization of certain cyclotomic polynomials over F q.

UR - https://www.scopus.com/pages/publications/3843072001

UR - https://www.scopus.com/pages/publications/3843072001#tab=citedBy

U2 - 10.1023/B:DESI.0000036251.41345.1f

DO - 10.1023/B:DESI.0000036251.41345.1f

M3 - Article

AN - SCOPUS:3843072001

SN - 0925-1022

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EP - 281

JO - Designs, Codes, and Cryptography

JF - Designs, Codes, and Cryptography

IS - 3

ER -

Self-reciprocal irreducible polynomials over finite fields

Abstract

All Science Journal Classification (ASJC) codes

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