On the existence of a primitive quadratic of trace 1 over \(GF(p^ m)\)

DOI10.1016/0097-3165(89)90080-0zbMath0682.12015OpenAlexW2041398745MaRDI QIDQ1823994

Oscar Moreno

Publication date: 1989

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0097-3165(89)90080-0

zbMATH Keywords

coding theorycomputer calculationsGolomb's conjecture Dprimitive quadratic element

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items

Character sums over Galois rings and primitive polynomials over finite fields. ⋮ The coefficients of primitive polynomials over finite fields ⋮ ADDITIVE POLYNOMIALS AND PRIMITIVE ROOTS OVER FINITE FIELDS ⋮ Orthogonal Polarity Graphs and Sidon Sets ⋮ On two exponential sums and their applications ⋮ Primitive transformation shift registers over finite fields ⋮ A trigonometric approach for Dickson polynomials over fields of characteristic two

Cites Work

• Algebraic constructions for Costas arrays
• On primitive elements of trace equal to 1 in GF(\(2^ m)\)
• Primitive Roots in a Finite Field