Lattices with theta functions for G(\(\sqrt{2})\) and linear codes

DOI10.1016/0021-8693(87)90208-0zbMath0609.10026OpenAlexW1982272927MaRDI QIDQ1086608

Heinz-Georg Quebbemann

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90208-0

zbMATH Keywords

modular formscodesextremal theta-functionlarge minimum normsphere-packingsunimodular complex lattices

Mathematics Subject Classification ID

Lattices and convex bodies (number-theoretic aspects) (11H06) Discontinuous groups and automorphic forms (11F99) Lattice packing and covering (number-theoretic aspects) (11H31) Theory of error-correcting codes and error-detecting codes (94B99)

Related Items (4)

Applications of coding theory to the construction of modular lattices ⋮ Modular forms on the Fricke group ⋮ The shadow theory of modular and unimodular lattices ⋮ Density doubling, double-circulants, and new sphere packings

Cites Work

• On the classification of integral even unimodular 24-dimensional quadratic forms
• Laminated lattices
• Upper bounds for modular forms, lattices, and codes
• Codes over GF(4) and complex lattices
• Some lattices over \(Q(\sqrt{-3})^*\)
• A construction of integral lattices
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