Primitive polynomials over finite fields of characteristic two

DOI10.1007/s00200-003-0140-6zbMath1056.11077OpenAlexW2029298180MaRDI QIDQ1879278

Wenbao Han, Shuqin Fan

Publication date: 22 September 2004

Published in: Applicable Algebra in Engineering, Communication and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00200-003-0140-6

zbMATH Keywords

Galois ringsHansen-Mullen conjecturecharacter sums over Galois ringsprimitive polynomials over finite fieldsCohen's sieve method

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Other character sums and Gauss sums (11T24)

Related Items (14)

Primitive normal polynomials with the first two coefficients prescribed: a revised \(p\)-adic method ⋮ Prescribing coefficients of invariant irreducible polynomials ⋮ Primitive normal polynomials with the last half coefficients prescribed ⋮ Self-reciprocal irreducible polynomials with prescribed coefficients ⋮ On the existence of some specific elements in finite fields of characteristic 2 ⋮ Primitive normal polynomials with multiple coefficients prescribed: an asymptotic result ⋮ Primitive elements with prescribed trace ⋮ Parity of the number of irreducible factors for composite polynomials ⋮ Primitive polynomials with a prescribed coefficient ⋮ A generalization of the Hansen-Mullen conjecture on irreducible polynomials over finite fields ⋮ Primitive normal polynomials with the specified last two coefficients ⋮ Explicit theorems on generator polynomials ⋮ Primitive polynomial with three coefficients prescribed ⋮ Primitive normal polynomials with a prescribed coefficient

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