Primitive normal polynomials with the last half coefficients prescribed

DOI10.1016/J.FFA.2009.05.004zbMath1215.11115OpenAlexW1988003586MaRDI QIDQ623240

Shuqin Fan

Publication date: 14 February 2011

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2009.05.004

zbMATH Keywords

finite fieldsKloosterman sumsnormal basisprimitive polynomialsprescribed coefficients\(p\)-adic methodcharacter sums over Galois rings

Mathematics Subject Classification ID

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

Related Items (3)

On the existence for some special primitive elements in finite fields ⋮ Self-reciprocal irreducible polynomials with prescribed coefficients ⋮ A generalization of the Hansen-Mullen conjecture on irreducible polynomials over finite fields

Cites Work

• Primitive normal polynomials with a prescribed coefficient
• Character sums over \(p\)-adic fields
• Primitive normal bases with prescribed trace
• Primitive polynomials over finite fields of characteristic two
• Primitivity, freeness, norm and trace
• Primitive normal polynomials with the first two coefficients prescribed: a revised \(p\)-adic method
• Primitive normal polynomials with multiple coefficients prescribed: an asymptotic result
• Primitive Normal Polynomials Over Finite Fields
• Primitive free quartics with specified norm and trace
• Primitive Normal Bases for Finite Fields
• $p$ -ADIC FORMAL SERIES AND COHENS PROBLEM This work was supported by NSF of China with contract No. 19971096 and No. 90104035.

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