Please use this identifier to cite or link to this item:
https://doi.org/10.1109/TIT.2005.850142
DC Field | Value | |
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dc.title | On the algebraic structure of quasi-cyclic codes III: Generator theory | |
dc.contributor.author | Ling, S. | |
dc.contributor.author | Solé, P. | |
dc.date.accessioned | 2014-10-28T02:41:14Z | |
dc.date.available | 2014-10-28T02:41:14Z | |
dc.date.issued | 2005-07 | |
dc.identifier.citation | Ling, S., Solé, P. (2005-07). On the algebraic structure of quasi-cyclic codes III: Generator theory. IEEE Transactions on Information Theory 51 (7) : 2692-2700. ScholarBank@NUS Repository. https://doi.org/10.1109/TIT.2005.850142 | |
dc.identifier.issn | 00189448 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/103768 | |
dc.description.abstract | Following Parts I and II, quasi-cyclic codes of given index are studied as codes over a finite polynomial ring. These latter codes are decomposed by the Chinese Remainder Theorem (CRT), or equivalently the Mattson-Solomon transform, into products of shorter codes over larger alphabets. We characterize and enumerate self-dual one-generator quasi-cyclic codes in that context. We give an algorithm to remove some equivalent codes from that enumeration. A generalization to multigenerator codes is sketched. © 2005 IEEE. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1109/TIT.2005.850142 | |
dc.source | Scopus | |
dc.subject | Automorphism group | |
dc.subject | Chinese Remainder Theorem (CRT) | |
dc.subject | Discrete Fourier transform (DFT) | |
dc.subject | Quasi-cyclic codes | |
dc.subject | Self-dual codes | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.1109/TIT.2005.850142 | |
dc.description.sourcetitle | IEEE Transactions on Information Theory | |
dc.description.volume | 51 | |
dc.description.issue | 7 | |
dc.description.page | 2692-2700 | |
dc.description.coden | IETTA | |
dc.identifier.isiut | 000230151700029 | |
Appears in Collections: | Staff Publications |
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