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Primitive normal polynomials with the specified last two coefficients

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Publication:1043983
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DOI10.1016/J.DISC.2009.02.012zbMath1239.11137OpenAlexW1996682093MaRDI QIDQ1043983

Xiaozhe Wang, Shuqin Fan

Publication date: 10 December 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2009.02.012


zbMATH Keywords

finite fieldKloosterman sumsprimitive polynomialnormal basis


Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Gauss and Kloosterman sums; generalizations (11L05)


Related Items (2)

Reflection ciphers ⋮ Primitive cubics and quartics with zero trace and prescribed norm




Cites Work

  • Unnamed Item
  • 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




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