Existence of primitive pairs with prescribed traces over finite fields

DOI10.1080/00927872.2020.1852243zbMath1473.11220arXiv2004.10719OpenAlexW3112699077MaRDI QIDQ5856795

Hariom Sharma, Rajendra K. Sharma

Publication date: 29 March 2021

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

Full work available at URL: https://arxiv.org/abs/2004.10719

zbMATH Keywords

charactersfinite fieldsprimitive element

Mathematics Subject Classification ID

Exponential sums (11T23) Finite fields (field-theoretic aspects) (12E20)

Related Items (1)

Existence of primitive normal pairs with one prescribed trace over finite fields

Cites Work

• Pairs of primitive elements in fields of even order
• On primitive polynomials over finite fields
• Character sums over Galois rings and primitive polynomials over finite fields.
• Primitive element pairs with one prescribed trace over a finite field
• Primitive elements with prescribed trace
• Primitive finite field elements with prescribed trace
• A CLASS OF INCOMPLETE CHARACTER SUMS
• Consecutive Primitive Roots in a Finite Field
• Pair of primitive elements with prescribed traces over finite fields
• Primitive elements with zero traces

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