Eisenstein lattices, Galois rings, and theta series.

DOI10.1016/S0195-6698(03)00098-2zbMath1049.11067MaRDI QIDQ1427967

Patrick Solé, Kok Seng Chua

Publication date: 14 March 2004

Published in: European Journal of Combinatorics (Search for Journal in Brave)

zbMATH Keywords

latticetheta series

Mathematics Subject Classification ID

Relations with coding theory (11H71)

Related Items (2)

Modular lattices from a variation of construction A over number fields ⋮ EISENSTEIN LATTICES, GALOIS RINGS AND QUATERNARY CODES

Cites Work

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• Codes over GF(4) and complex lattices
• \(U_n\) lattices, construction \(B\), and AGM iterations
• Applications of coding theory to the construction of modular lattices
• Modular lattices in Euclidean spaces
• The Z/sub 4/-linearity of Kerdock, Preparata, Goethals, and related codes
• Quadratic iterations to ${\pi }$ associated with elliptic functions to the cubic and septic base
• A Cubic Counterpart of Jacobi's Identity and the AGM

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