Primitive polynomials with first and second coefficients prescribed.

DOI10.1016/S1071-5797(03)00009-1zbMath1083.11076MaRDI QIDQ1400979

Stephen D. Cohen, Donald Mills

Publication date: 17 August 2003

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

zbMATH Keywords

finite fieldprimitive polynomialprescribed coefficients

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (8)

Primitive normal polynomials with the first two coefficients prescribed: a revised \(p\)-adic method ⋮ A construction of primitive polynomials over finite fields ⋮ A modification of Fitzgerald's characterization of primitive polynomials over a finite field ⋮ Construction of primitive polynomials over finite fields ⋮ Primitive polynomials with a prescribed coefficient ⋮ Finite presentability of \(\text{SL}_1(D)\). ⋮ Explicit theorems on generator polynomials ⋮ Primitive polynomial with three coefficients prescribed

Cites Work

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• On primitive polynomials over finite fields
• Primitive elements and polynomials with arbitrary trace
• Primitive Roots in the Quadratic Extension of a Finite Field
• Kloosterman sums and primitive elements in Galois fields
• The coefficients of primitive polynomials over finite fields
• Primitive elements with zero traces

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