Witt's Extension Theorem for mod Four Valued Quadratic Forms

DOI10.2307/2154354zbMath0766.15033OpenAlexW4247832110MaRDI QIDQ4038459

Jay A. Wood

Publication date: 16 May 1993

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2154354

zbMATH Keywords

quadratic formbilinear formArf invariantcoding theoryisotropic subspaceWitt indexBrown invariantself- orthogonal codeWitt's extension theorem

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bilinear and Hermitian forms (11E39) Quadratic and bilinear forms, inner products (15A63)

Related Items (11)

Weight distributions of linear codes and the Gleason-Pierce theorem ⋮ Symplectic spread-based generalized Kerdock codes ⋮ Construction and enumeration of self-orthogonal and self-dual codes over Galois rings of even characteristic ⋮ On the evaluation at \(( - \iota ,\iota )\) of the Tutte polynomial of a binary matroid ⋮ Symmetric bilinear forms over finite fields of even characteristic ⋮ Geometric Weil representation in characteristic two ⋮ Witt's theorems for Galois ring valued quadratic forms ⋮ An invariant for quadratic forms valued in Galois rings of characteristic 4 ⋮ Witt index for Galois ring valued quadratic forms ⋮ Schur-Weyl duality for the Clifford group with applications: property testing, a robust Hudson theorem, and de Finetti representations ⋮ MacWilliams extension property for arbitrary weights on linear codes over module alphabets

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