Three proofs of an observation on irreducible polynomials over GF(2)

DOI10.1016/j.ffa.2023.102192OpenAlexW4322632327MaRDI QIDQ2701062

Robert Granger

Publication date: 27 April 2023

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2302.11932

zbMATH Keywords

finite fieldsbijective proofsirreducible binary polynomials

Mathematics Subject Classification ID

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

Cites Work

• Unnamed Item
• An enumeration formula for certain irreducible polynomials with an application to the construction of irreducible polynomials over the binary field
• On different families of invariant irreducible polynomials over \(\mathbb F_2\)
• A pentagonal number sieve
• On the construction of irreducible self-reciprocal polynomials over finite fields
• On the parity of the number of irreducible factors of self-reciprocal polynomials over finite fields
• The Probability of Relatively Prime Polynomials
• A Theorem of Dickson on Irreducible Polynomials

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