On primitive polynomials over finite fields

DOI10.1016/0021-8693(89)90136-1zbMath0694.12013OpenAlexW1996139403MaRDI QIDQ908964

Dieter Jungnickel, Scott A. Vanstone

Publication date: 1989

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90136-1

zbMATH Keywords

primitive elementsprimitive polynomialsGaussian sumsasymptotic resultdistribution of traces

Mathematics Subject Classification ID

Polynomials over finite fields (11T06)

Related Items (15)

Guest editorial: Special issue in honor of Scott A. Vanstone ⋮ Primitive polynomials with first and second coefficients prescribed. ⋮ On the existence of some specific elements in finite fields of characteristic 2 ⋮ Character sums over Galois rings and primitive polynomials over finite fields. ⋮ The coefficients of primitive polynomials over finite fields ⋮ A class of self-orthogonal 2-sequencings ⋮ ADDITIVE POLYNOMIALS AND PRIMITIVE ROOTS OVER FINITE FIELDS ⋮ On primitive and free roots in a finite field ⋮ Primitive elements with zero traces ⋮ Primitive elements with prescribed trace ⋮ On maximal curves and linearized permutation polynomials over finite fields ⋮ On two exponential sums and their applications ⋮ 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 elements of trace equal to 1 in GF(\(2^ m)\)
• Primitive Normal Bases for Finite Fields
• Bases for Finite Fields
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