On arithmetic progressions in finite fields

DOI10.1007/s10623-023-01201-zzbMath1527.11092arXiv2208.02876OpenAlexW4323980113MaRDI QIDQ6045529

Abílio Lemos, Sávio Ribas, Victor G. L. Neumann

Publication date: 31 May 2023

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.02876

zbMATH Keywords

finite fieldsprimitive elementscharacter sumsarithmetic progressionsnormal elements

Mathematics Subject Classification ID

Other character sums and Gauss sums (11T24) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Arithmetic progressions (11B25)

Related Items (2)

Pairs of \(r\)-primitive and \(k\)-normal elements in finite fields ⋮ r -primitive k -normal elements in arithmetic progressions over finite fields

Cites Work

• Existence of primitive 2-normal elements in finite fields
• On the existence of pairs of primitive and normal elements over finite fields
• Variations of the primitive normal basis theorem
• Approximate formulas for some functions of prime numbers
• Normal bases and primitive elements over finite fields
• A CLASS OF INCOMPLETE CHARACTER SUMS
• Pairs of primitive roots
• THE PRIMITIVE NORMAL BASIS THEOREM – WITHOUT A COMPUTER
• Primitive Normal Bases for Finite Fields
• Four consecutive primitive elementsin a finite field
• Topics in Galois Fields
• On consecutive primitive elements in a finite field

This page was built for publication: On arithmetic progressions in finite fields