The coefficients of primitive polynomials over finite fields

DOI10.1090/S0025-5718-96-00663-1zbMath0865.11081MaRDI QIDQ4878552

Wenbao Han

Publication date: 13 July 1997

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

finite fieldprimitive polynomialprescribed coefficients

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (10)

Primitive normal polynomials with the first two coefficients prescribed: a revised \(p\)-adic method ⋮ Primitive polynomials with first and second coefficients prescribed. ⋮ Generators and irreducible polynomials over finite fields ⋮ Character sums over Galois rings and primitive polynomials over finite fields. ⋮ Unnamed Item ⋮ Distribution of irreducible polynomials of small degrees over finite fields ⋮ Primitive normal polynomials with multiple coefficients prescribed: an asymptotic result ⋮ Primitive polynomials with a prescribed coefficient ⋮ Explicit theorems on generator polynomials ⋮ Primitive polynomial with three coefficients prescribed

Cites Work

• On primitive polynomials over finite fields
• Primitive elements and polynomials with arbitrary trace
• Equations over finite fields. An elementary approach
• On the existence of a primitive quadratic of trace 1 over \(GF(p^ m)\)
• Primitive Polynomials Over Finite Fields
• Primitive Normal Bases for Finite Fields
• Bases for Finite Fields
• Unnamed Item
• Unnamed Item
• Unnamed Item

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