Enumerating and decoding perfect linear Lee codes |
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| Authors: | Bader AlBdaiwi Peter Horak Lorenzo Milazzo |
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| Institution: | (1) Kuwait University, Safat, Kuwait;(2) University of Washington, Tacoma, USA;(3) University of Catania, Catania, Italy |
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| Abstract: | Using group theory approach, we determine all numbers q for which there exists a linear 1-error correcting perfect Lee code of block length n over Z
q
, and then we enumerate those codes. At the same time this approach allows us to design a linear time decoding algorithm.
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| Keywords: | Perfect Lee code Enumeration Decoding |
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