Genus distribution of random $q$-ary lattices

DOI10.4064/bc126-9MaRDI QIDQ6196951

Léo Ducas, Shane Gibbons, Peter Bruin

Publication date: 15 March 2024

Published in: Banach Center Publications (Search for Journal in Brave)

zbMATH Keywords

latticequadratic formsgenuslattice isomorphism problem

Mathematics Subject Classification ID

Cryptography (94A60) Quadratic forms over global rings and fields (11E12) Quadratic forms (reduction theory, extreme forms, etc.) (11H55) Automorphism groups of lattices (11H56) Quadratic forms over local rings and fields (11E08)

Cites Work

• Computing isometries of lattices
• Eigenvalues of rank-one updated matrices with some applications
• Representation by quadratic forms in a finite field
• Constructing integral lattices with prescribed minimum. I
• On the Lattice Isomorphism Problem
• Orthogonal Matrices Over Finite Fields
• Weighted Quadratic Partitions Over a Finite Field
• A canonical form for positive definite matrices
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