Distinguishing Siegel theta series of degree 4 for the 32-dimensional even unimodular extremal lattices

DOI10.1007/S12188-016-0120-YzbMath1409.11038OpenAlexW2332330468MaRDI QIDQ266531

Michio Ozeki, Manabu Oura

Publication date: 13 April 2016

Published in: Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg (Search for Journal in Brave)

Full work available at URL: https://kanazawa-u.repo.nii.ac.jp/?action=repository_uri&item_id=10838

zbMATH Keywords

32-dimensional extremal latticesbinary self-dual extremal codesSiegel theta series

Mathematics Subject Classification ID

Algebraic coding theory; cryptography (number-theoretic aspects) (11T71) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Siegel modular groups; Siegel and Hilbert-Siegel modular and automorphic forms (11F46)

Related Items (2)

Weight enumerators, intersection enumerators, and Jacobi polynomials ⋮ Weight enumerators, intersection enumerators and Jacobi polynomials. II

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• On self-dual, doubly even codes of length 32
• On the enumeration of self-dual codes
• The binary self-dual codes of length up to 32: A revised enumeration
• The Magma algebra system. I: The user language
• Slope of cusp forms and theta series
• A NUMERICAL STUDY OF SIEGEL THETA SERIES OF VARIOUS DEGREES FOR THE 32-DIMENSIONAL EVEN UNIMODULAR EXTREMAL LATTICES
• An upper bound for self-dual codes

This page was built for publication: Distinguishing Siegel theta series of degree 4 for the 32-dimensional even unimodular extremal lattices