Swan-like results for binomials and trinomials over finite fields of odd characteristic

B. Hanson, D. Panario, D. Thomson

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

Swan (Pac. J. Math. 12:1099-1106, 1962) gives conditions under which the trinomial x n + x k + 1 over F2 is reducible. Vishne (Finite Fields Appl. 3:370-377, 1997) extends this result to trinomials over extensions of F2. In this work we determine the parity of the number of irreducible factors of all binomials and some trinomials over the finite field Fq, where q is a power of an odd prime.

Original languageEnglish (US)
Pages (from-to)273-283
Number of pages11
JournalDesigns, Codes, and Cryptography
Volume61
Issue number3
DOIs
StatePublished - Dec 1 2011

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Galois field
Odd
Parity

All Science Journal Classification (ASJC) codes

  • Computer Science Applications
  • Applied Mathematics

Cite this

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Swan-like results for binomials and trinomials over finite fields of odd characteristic. / Hanson, B.; Panario, D.; Thomson, D.

In: Designs, Codes, and Cryptography, Vol. 61, No. 3, 01.12.2011, p. 273-283.

Research output: Contribution to journalArticle

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