Cocyclic Hadamard matrices from forms over finite Frobenius rings

DOI10.1016/J.LAA.2008.04.027zbMath1168.15013OpenAlexW2056298738MaRDI QIDQ1006025

Gary McGuire, Harold N. Ward

Publication date: 17 March 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2008.04.027

zbMATH Keywords

Hadamard matrixbilinear formcocyclepairingFrobenius ring\(A\)-moduleButson-Hadamard matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Hadamard matrices and their applications: progress 2007--2010 ⋮ Butson full propelinear codes ⋮ Lattice of ideals of the polynomial ring over a commutative chain ring

Cites Work

• Hadamard matrices and their applications: progress 2007--2010
• ON PLOTKIN-OPTIMAL CODES OVER FINITE FROBENIUS RINGS
• Cocyclic Simplex Codes of Type<tex>$alpha $</tex>Over<tex>$mmb Z_4$</tex>and<tex>$mmb Z_2^s$</tex>
• Generalized Hadamard Matrices
• Duality for modules over finite rings and applications to coding theory
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