Enumeration of a special class of irreducible polynomials in characteristic 2

DOI10.4064/aa190116-21-5zbMath1458.14040arXiv1905.08345OpenAlexW3014887937MaRDI QIDQ3298851

Alp Bassa, Ricardo Menares

Publication date: 16 July 2020

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.08345

zbMATH Keywords

Kloosterman sums\(A\)-polynomialselliptic function fields\(Q\)-transform

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Polynomials over finite fields (11T06) Computational aspects of algebraic curves (14Q05) Arithmetic theory of polynomial rings over finite fields (11T55) Algebraic functions and function fields in algebraic geometry (14H05)

Related Items (1)

Iterated constructions of completely normal polynomials

Cites Work

• Unnamed Item
• An enumeration formula for certain irreducible polynomials with an application to the construction of irreducible polynomials over the binary field
• Elliptic curves and explicit enumeration of irreducible polynomials with two coefficients pre\-scribed
• The explicit construction of irreducible polynomials over finite fields
• Recurrent methods for constructing irreducible polynomials over \(\text{GF}(2^s)\)
• On the construction of irreducible self-reciprocal polynomials over finite fields
• Algebraic Function Fields and Codes

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