Witt's theorems for Galois ring valued quadratic forms

DOI10.1016/j.jpaa.2008.03.028zbMath1155.11021OpenAlexW2062409597MaRDI QIDQ942204

Ignacio F. Rúa, María Concepción López-Díaz

Publication date: 4 September 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2008.03.028

zbMATH Keywords

Clifford algebrasGalois ring valued quadratic formsWitt cancellation theoremWitt extension theorem

Mathematics Subject Classification ID

Quadratic and bilinear forms, inner products (15A63) Quadratic forms over local rings and fields (11E08) Finite commutative rings (13M99)

Related Items (1)

Witt index for Galois ring valued quadratic forms

Cites Work

• 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
• On the conjugacy classes in the unitary, symplectic and orthogonal groups
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