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Shadow lattices and shadow codes

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Publication:1567660
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DOI10.1016/S0012-365X(99)00368-4zbMath0943.94013OpenAlexW2063618950WikidataQ127719862 ScholiaQ127719862MaRDI QIDQ1567660

Masaaki Harada, Steven T. Dougherty, Patrick Solé

Publication date: 3 August 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(99)00368-4


zbMATH Keywords

shadowsunimodular latticesselfdual codes


Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms over global rings and fields (11E12)


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Construction of self-dual codes over \(\mathbb {Z}_{2^{m}}\) ⋮ Self-dual codes over \(\mathbb{Z}_8\) and \(\mathbb{Z}_9\) ⋮ Splitting the shadow. ⋮ Codes over rings, complex lattices and Hermitian modular forms ⋮ Byte weight enumerators and modular forms of genus r ⋮ Self-dual codes over \(\mathbb{F}_5\) and \(s\)-extremal unimodular lattices



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