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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 |
Appears in Collections: | Staff Publications |
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