Self-reciprocal irreducible polynomials over finite fields

Joseph L. Yucas, Gary L. Mullen

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


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 languageEnglish (US)
Pages (from-to)275-281
Number of pages7
JournalDesigns, Codes, and Cryptography
Issue number3
StatePublished - Nov 2004

All Science Journal Classification (ASJC) codes

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


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