On primitive elements of trace equal to 1 in GF(\(2^ m)\)

DOI10.1016/0012-365X(82)90081-4zbMath0485.12015OpenAlexW2058048887MaRDI QIDQ1164095

Oscar Moreno

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1016/0012-365x(82)90081-4

zbMATH Keywords

cyclotomic polynomialsnormal bases in finite fieldsprimitive elements of trace 1

Mathematics Subject Classification ID

Arithmetic theory of polynomial rings over finite fields (11T55) Cyclotomy (11T22)

Related Items (9)

On primitive polynomials over finite fields ⋮ On the existence of some specific elements in finite fields of characteristic 2 ⋮ Primitive elements and polynomials with arbitrary trace ⋮ ON THE DISJOINTNESS OF ALGEBRAICALLY CONSTRUCTED COSTAS ARRAYS ⋮ A review of Costas arrays ⋮ Primitive elements with prescribed trace ⋮ On the symmetry of Welch- and Golomb-constructed Costas arrays ⋮ On the existence of a primitive quadratic of trace 1 over \(GF(p^ m)\) ⋮ Algebraic constructions for Costas arrays

Cites Work

• Bases for Finite Fields
• Primitive Roots in a Finite Field
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