Ovoids and primitive normal bases for quartic extensions of Galois fields

DOI10.1007/s10801-019-00920-8zbMath1495.11142OpenAlexW2983391296MaRDI QIDQ2025145

Dirk Hachenberger

Publication date: 11 May 2021

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-019-00920-8

zbMATH Keywords

finite fieldprojective spaceovoidnormal basisprimitive elementGalois fieldovoid partitionprimitive normal element

Mathematics Subject Classification ID

Finite fields (field-theoretic aspects) (12E20) Structure theory for finite fields and commutative rings (number-theoretic aspects) (11T30) Enumerative combinatorics (05A99) Elementary number theory (11A99)

Uses Software

• OEIS

Cites Work

• Primitive normal bases for quartic and cubic extensions: a geometric approach
• Ovoids in \(\text{PG}(3,q)\): A survey
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