An invariant for quadratic forms valued in Galois rings of characteristic 4

DOI10.1016/j.ffa.2006.03.006zbMath1137.11024OpenAlexW2081300291MaRDI QIDQ2467326

Ignacio F. Rúa, María Concepción López-Díaz

Publication date: 21 January 2008

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2006.03.006

zbMATH Keywords

quadratic formfinite fieldinvariantGalois ringeven characteristic

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Structure of finite commutative rings (13M05) Quadratic forms over local rings and fields (11E08)

Related Items (5)

Symmetric bilinear forms over finite fields of even characteristic ⋮ NONBINARY DELSARTE–GOETHALS CODES AND FINITE SEMIFIELDS ⋮ Geometric Weil representation in characteristic two ⋮ Witt's theorems for Galois ring valued quadratic forms ⋮ Witt index for Galois ring valued quadratic forms

Cites Work

• On the Arf invariant
• Constructions of low rank relative difference sets in 2-groups using Galois rings
• \(\mathbb Z_{8}\)-Kerdock codes and pseudorandom binary sequences
• Linear recurring sequences over Galois rings
• Difference sets in \(\mathbb{Z}_4^m\) and \(\mathbb{F}_2^{2m}\)
• Generalizations of the Kervaire invariant
• Witt's Extension Theorem for mod Four Valued Quadratic Forms
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Z₄ -Kerdock Codes, Orthogonal Spreads, and Extremal Euclidean Line-Sets
• Separable Algebras Over Commutative Rings
• New partial difference sets in \(\mathbb{Z}_{p^2}^t\) and a related problem about Galois rings
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