Witt index for Galois ring valued quadratic forms

DOI10.1016/j.ffa.2010.02.003zbMath1200.11026OpenAlexW1971900813MaRDI QIDQ973965

Ignacio F. Rúa, María Concepción López-Díaz

Publication date: 26 May 2010

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2010.02.003

zbMATH Keywords

Witt indexGalois ring valued quadratic form

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Polynomials over finite fields (11T06) Quadratic forms over global rings and fields (11E12)

Cites Work

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• Witt's theorems for Galois ring valued quadratic forms
• Linear recurring sequences over Galois rings
• Difference sets in \(\mathbb{Z}_4^m\) and \(\mathbb{F}_2^{2m}\)
• Symplectic spread-based generalized Kerdock codes
• An invariant for quadratic forms valued in Galois rings of characteristic 4
• 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
• Advanced Linear Algebra

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