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• W1605256499 abstract "This paper presents a geometric/coding theoretic interpretation of planar difference sets and the corresponding reformulations of two important conjectures in the field. It is shown that such sets of order $ n $ exist if and only if the $ A_n $ lattice admits a lattice tiling by balls of radius $ 2 $ under $ ell_1 $ metric (i.e., a linear $ 2 $-perfect code). More general difference sets and perfect codes of larger radius are also studied. Several communication scenarios are described for which the obtained results, and codes in $ A_n $ lattices in general, are relevant." @default.
• W1605256499 created "2016-06-24" @default.
• W1605256499 creator A5014784584 @default.
• W1605256499 date "2014-09-18" @default.
• W1605256499 modified "2023-09-27" @default.
• W1605256499 title "Difference Sets and Codes in $ A_n $ Lattices." @default.
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• W1605256499 hasPublicationYear "2014" @default.
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