Pencils of quadratic forms over finite fields

DOI10.1016/j.disc.2004.01.006zbMath1049.11039OpenAlexW1964593913MaRDI QIDQ1827772

Joseph L. Yucas, Robert W. Fitzgerald

Publication date: 6 August 2004

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2004.01.006

zbMATH Keywords

quadratic formfinite fieldArf invariantgap form

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Quadratic forms over general fields (11E04)

Related Items (9)

Some enumeration results on trace forms of low radical over finite fields of characteristic two ⋮ On serial posets with positive-definite quadratic Tits form. ⋮ Rank properties of subspaces of symmetric and Hermitian matrices over finite fields ⋮ Classifying quadratic forms over \(\mathbb Z_2\) in three variables ⋮ Highly degenerate quadratic forms over \(\mathbb F_{2}\) ⋮ Piecewise constructions of bent and almost optimal Boolean functions ⋮ Highly degenerate quadratic forms over finite fields of characteristic 2 ⋮ Trace forms over finite fields of characteristic 2 with prescribed invariants ⋮ Invariants of trace forms over finite fields of characteristic 2

Cites Work

• Unnamed Item
• Unnamed Item
• Zeros of a pair of quadratic forms defined over a finite field
• Irreducible polynomials over \(\mathrm{GF}(2)\) with three prescribed coefficients.
• Maximal recursive sequences with 3-valued recursive cross-correlation functions (Corresp.)
• Formes quadratiques et extensions en caractéristique 2. (Quadratic forms and extensions of charactéristic two)

This page was built for publication: Pencils of quadratic forms over finite fields