Irreducible polynomials over GF(2) with prescribed coefficients.

DOI10.1016/S0012-365X(03)00092-XzbMath1039.11090MaRDI QIDQ1421527

Gary L. Mullen, Joseph L. Yucas

Publication date: 26 January 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

finite fieldsirreducible polynomials

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (17)

Counting irreducible polynomials with prescribed coefficients over a finite field ⋮ Fibre products of supersingular curves and the enumeration of irreducible polynomials with prescribed coefficients ⋮ The number of irreducible polynomials over finite fields with vanishing trace and reciprocal trace ⋮ On the enumeration of irreducible polynomials over \(\mathrm{GF}(q)\) with prescribed coefficients ⋮ Irreducible polynomials over \(\mathrm{GF}(2)\) with three prescribed coefficients. ⋮ On coefficients of polynomials over finite fields ⋮ Irreducible polynomials over \(\mathbb{F}_{2^r}\) with three prescribed coefficients ⋮ Elliptic curves and explicit enumeration of irreducible polynomials with two coefficients pre\-scribed ⋮ On subspaces of Kloosterman zeros and permutations of the form \(L_1(x^{-1})+L_2(x)\) ⋮ Squarefree polynomials with prescribed coefficients ⋮ On enumeration of irreducible polynomials and related objects over a finite field with respect to their trace and norm ⋮ The number of irreducible polynomials of degree \(n\) over \(\mathbb F_q\) with given trace and constant terms ⋮ A transform property of Kloosterman sums ⋮ The number of irreducible polynomials over finite fields of characteristic 2 with given trace and subtrace ⋮ Some examples of simply connected dual hyperovals. II. ⋮ Explicit theorems on generator polynomials ⋮ Counting irreducible polynomials over GF(3) with first and third coefficients given

Cites Work

• Primitive elements and polynomials with arbitrary trace
• Irreducible polynomials over \(\mathrm{GF}(2)\) with three prescribed coefficients.
• The Number of Irreducible Polynomials and Lyndon Words with Given Trace
• Primitive Polynomials Over Finite Fields
• Generators and irreducible polynomials over finite fields
• Distribution of irreducible polynomials of small degrees over finite fields
• A Theorem of Dickson on Irreducible Polynomials
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