Explicit Factorizations of Cyclotomic and Dickson Polynomials over Finite Fields

  • Authors:
  • Robert W. Fitzgerald;Joseph L. Yucas

  • Affiliations:
  • Southern Illinois University Carbondale,;Southern Illinois University Carbondale,

  • Venue:
  • WAIFI '07 Proceedings of the 1st international workshop on Arithmetic of Finite Fields
  • Year:
  • 2007

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Abstract

We give, over a finite field Fq, explicit factorizations into a product of irreducible polynomials, of the cyclotomic polynomials of order 3·2n, the Dickson polynomials of the first kind of order 3·2nand the Dickson polynomials of the second kind of order 3·2n茂戮驴 1.