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.
Enumerating and decoding perfect linear Lee codes
MILAZZO, Lorenzo Maria Filippo
2009-01-01
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.File in questo prodotto:
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