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• W3142677918 abstract "We construct integer error-correcting codes and covering codes for the limited-magnitude error channel with more than one error. The codes are lattices that pack or cover the space with the appropriate error ball. Some of the constructions attain an asymptotic packing/covering density that is constant. The results are obtained via various methods, including the use of codes in the Hamming metric, modular B <sub xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink>t</sub> -sequences, 2-fold Sidon sets, and sets avoiding arithmetic progression." @default.
• W3142677918 created "2021-04-13" @default.
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• W3142677918 date "2021-08-01" @default.
• W3142677918 modified "2023-10-14" @default.
• W3142677918 title "On Lattice Packings and Coverings of Asymmetric Limited-Magnitude Balls" @default.
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• W3142677918 doi "https://doi.org/10.1109/tit.2021.3070462" @default.
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