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- W3205289534 abstract "We study whether an asymmetric limited-magnitude ball may tile Zn. This ball generalizes previously studied shapes: crosses, semi-crosses, and quasi-crosses. Such tilings act as perfect error-correcting codes in a channel which changes a transmitted integer vector in a bounded number of entries by limited-magnitude errors. A construction of lattice tilings based on perfect codes in the Hamming metric is given. Several non-existence results are proved, both for general tilings, and lattice tilings. A complete classification of lattice tilings for two certain cases is proved." @default.
- W3205289534 created "2021-10-25" @default.
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- W3205289534 date "2022-02-01" @default.
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- W3205289534 title "On tilings of asymmetric limited-magnitude balls" @default.
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- W3205289534 doi "https://doi.org/10.1016/j.ejc.2021.103450" @default.
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