Primitive normal polynomials with a prescribed coefficient

DOI10.1016/j.ffa.2009.05.006zbMath1218.11109OpenAlexW2041864032MaRDI QIDQ1046467

Shuqin Fan, Xiaozhe Wang

Publication date: 22 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2009.05.006

zbMATH Keywords

finite fieldGalois ringscharacter sumsprimitive polynomialnormal basisHansen-Mullen conjecture

Mathematics Subject Classification ID

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

Related Items (1)

Primitive normal polynomials with the last half coefficients prescribed

Cites Work

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• 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 polynomials with a prescribed coefficient
• The Hansen-Mullen primitivity conjecture: completion of proof
• Primitive Polynomials Over Finite Fields
• Primitive Normal Polynomials Over Finite Fields
• $p$-adic formal series and primitive 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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