Primitive elements with zero traces

DOI10.1006/ffta.2000.0284zbMath0984.11065OpenAlexW2087657394MaRDI QIDQ5927542

Stephen D. Cohen, Wun-Seng Chou

Publication date: 4 May 2002

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

Full work available at URL: https://doi.org/10.1006/ffta.2000.0284

zbMATH Keywords

finite fields(generalized) Kloosterman sumsprimitive elementssievingtrace

Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Gauss and Kloosterman sums; generalizations (11L05) Other character sums and Gauss sums (11T24) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30)

Related Items (18)

On the existence for some special primitive elements in finite fields ⋮ Existence of some special primitive normal elements over finite fields ⋮ Existence of pair of primitive elements over finite fields of characteristic 2 ⋮ Pair of primitive normal elements of rational form over finite fields of characteristic 2 ⋮ Primitive polynomials with first and second coefficients prescribed. ⋮ On the existence of some specific elements in finite fields of characteristic 2 ⋮ On primitive normal elements over finite fields ⋮ Unnamed Item ⋮ Elliptic curves and explicit enumeration of irreducible polynomials with two coefficients pre\-scribed ⋮ Existence of primitive normal pairs with one prescribed trace over finite fields ⋮ Elements of prescribed order, prescribed traces and systems of rational functions over finite fields ⋮ Pair of primitive elements with prescribed traces over finite fields ⋮ Finite presentability of \(\text{SL}_1(D)\). ⋮ Primitive element pairs with one prescribed trace over a finite field ⋮ Primitive normal pairs with prescribed norm and trace ⋮ Explicit theorems on generator polynomials ⋮ Primitive polynomial with three coefficients prescribed ⋮ Existence of primitive pairs with prescribed traces over finite fields

Cites Work

• On primitive polynomials over finite fields
• Primitive elements and polynomials with arbitrary trace
• Generators in cyclic difference sets
• Primitive Polynomials Over Finite Fields
• Kloosterman sums and primitive elements in Galois fields
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• Unnamed Item
• Unnamed Item

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