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Self-Reciprocal Irreducible Pentanomials Over mathbb{F}_2

Authors:	Omran Ahmadi

Affiliation:	(1) Department of Combinatorics and Optimization, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1

Abstract:	Joseph Yucas and Gary Mullen conjectured that there is no self-reciprocal irreducible pentanomial of degree n over $mathbb{F}_2$ if n is divisible by 6. In this note we prove this conjecture for the case n ≡ 0, and disprove the conjecture for the case n ≡ 6 (mod 12) AMS Classifications: 11T55

Keywords:	finite fields self-reciprocal irreducible polynomials
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