Please use this identifier to cite or link to this item: https://doi.org/10.1109/TIT.2002.801473
Title: Zpk+1-linear codes
Authors: Ling, S. 
Blackford, J.T.
Keywords: Constacyclic code
Cyclic code
Gray map
Linear code
Quasi-cyclic code
Issue Date: Sep-2002
Citation: Ling, S., Blackford, J.T. (2002-09). Zpk+1-linear codes. IEEE Transactions on Information Theory 48 (9) : 2592-2605. ScholarBank@NUS Repository. https://doi.org/10.1109/TIT.2002.801473
Abstract: We characterize code over Zp which are the Gray images of (1 - pk)-cyclic codes or cyclic codes over Zpk+1 (k ≥ 1). A necessary and sufficient condition for the Gray image of a Zp2-linear, (1 - p)-cyclic code to be linear is given. In many cases, this yields an explicit description of the Gray image of a linear (1 - p)-cyclic code over Zp2, of length relatively prime to p. Linear cyclic codes over Zp2 whose Gray images are linear cyclic codes over Zp have been characterized. Some generalizations of these results to the case of Zpk+1, where k ≥ 2, are also obtained.
Source Title: IEEE Transactions on Information Theory
URI: http://scholarbank.nus.edu.sg/handle/10635/104687
ISSN: 00189448
DOI: 10.1109/TIT.2002.801473
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