Three Proofs of an Observation on Irreducible Polynomials over $\text{GF}(2)$

DOI10.1016/J.FFA.2023.102192arXiv2302.11932MaRDI QIDQ6427387

Robert Granger

Publication date: 23 February 2023

Abstract: We present three proofs of an observation of Ahmadi on the number of irreducible polynomials over $extGF(2)$ with certain traces and cotraces, the most interesting of which uses an explicit natural bijection. We also present two proofs of a related observation.

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Arithmetic theory of polynomial rings over finite fields (11T55)

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