Arithmetic progression in a finite field with prescribed norms

DOI10.1515/FORUM-2024-0026MaRDI QIDQ6658848

Shailesh Kumar Tiwari, Kaustav Chatterjee, Aastha Shukla, Hariom Sharma

Publication date: 8 January 2025

Published in: Forum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

normcharactersfinite fieldprimitive elementnormal element

Mathematics Subject Classification ID

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

Cites Work

• Existence of pair of primitive elements over finite fields of characteristic 2
• Primitivity, freeness, norm and trace
• Primitive normal pairs with prescribed norm and trace
• On the existence of pairs of primitive normal elements over finite fields
• Existence of primitive normal pairs with one prescribed trace over finite fields
• An implementation for a fast public-key cryptosystem
• Existence of some special primitive normal elements over finite fields
• Normal bases and primitive elements over finite fields
• A CLASS OF INCOMPLETE CHARACTER SUMS
• The strong primitive normal basis theorem
• Primitive Normal Bases for Finite Fields
• On the existence of primitive normal elements of rational form over finite fields of even characteristic
• On arithmetic progressions in finite fields
• Primitive normal values of rational functions over finite fields

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