GENERATORS OF FINITE FIELDS WITH PRESCRIBED TRACES

DOI10.1017/S1446788721000094zbMath1504.12002arXiv2007.15682OpenAlexW3046875698MaRDI QIDQ5075727

Sávio Ribas, Lucas Reis

Publication date: 11 May 2022

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.15682

zbMATH Keywords

character sumprimitive elementfield trace

Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Other character sums and Gauss sums (11T24)

Cites Work

• Primitive elements and polynomials with arbitrary trace
• Counting solutions of special linear equations over finite fields
• Variations of the primitive normal basis theorem
• New directions in cryptography
• THE PRIMITIVE NORMAL BASIS THEOREM – WITHOUT A COMPUTER
• Primitive Normal Bases for Finite Fields
• On consecutive primitive elements in a finite field

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