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https://doi.org/10.1023/A:1024715527805
| Title: | On the algebraic structure of quasi-cyclic codes II: Chain rings | Authors: | Ling, S. Solé, P. |
Keywords: | (a + x | b + x | a + b + x) construction (u + v + w | 2u + v | u) construction Chain rings Chinese Remainder Theorem DFT Quasi-cyclic codes Self-dual codes |
Issue Date: | Aug-2003 | Citation: | Ling, S., Solé, P. (2003-08). On the algebraic structure of quasi-cyclic codes II: Chain rings. Designs, Codes, and Cryptography 30 (1) : 113-130. ScholarBank@NUS Repository. https://doi.org/10.1023/A:1024715527805 | Abstract: | The ring decomposition technique of part I is extended to the case when the factors in the direct product decomposition are no longer fields but arbitrary chain rings. This includes not only the case of quasi-cyclic codes over rings but also the case of quasi-cyclic codes over fields whose co-index is no longer prime to the characteristic of the field. A new quaternary construction of the Leech lattice is derived. | Source Title: | Designs, Codes, and Cryptography | URI: | http://scholarbank.nus.edu.sg/handle/10635/103767 | ISSN: | 09251022 | DOI: | 10.1023/A:1024715527805 |
| Appears in Collections: | Staff Publications |
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