Extending Djoković's lattice reduction algorithm to include isotropic lattices

DOI10.1016/j.jalgebra.2013.05.026zbMath1312.11021OpenAlexW2085894766MaRDI QIDQ2438013

Edward Rehkopf

Publication date: 10 March 2014

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.05.026

zbMATH Keywords

polynomial ringquadratic latticereduced basiscongruent matrices

Mathematics Subject Classification ID

Quadratic forms over general fields (11E04) Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms over global rings and fields (11E12) Quadratic and bilinear forms, inner products (15A63)

Cites Work

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• Hermitian matrices over polynomial rings
• Serre's conjecture
• Unimodular quadratic forms over global function fields
• Definite quadratic forms over \({\mathbb F}_q[x\)]
• Introduction to quadratic forms
• Quadratic forms over polynomial rings

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