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https://doi.org/10.1016/j.ffa.2008.02.003
| Title: | Cyclic codes over GR (p2, m) of length pk | Authors: | Kiah, H.M. Leung, K.H. Ling, S. |
Keywords: | Cyclic codes Galois ring |
Issue Date: | Jul-2008 | Citation: | Kiah, H.M., Leung, K.H., Ling, S. (2008-07). Cyclic codes over GR (p2, m) of length pk. Finite Fields and their Applications 14 (3) : 834-846. ScholarBank@NUS Repository. https://doi.org/10.1016/j.ffa.2008.02.003 | Abstract: | We study cyclic codes of length pk over GR (p2, m), or equivalently, ideals of the ring GR (p2, m) / 〈 upk - 1 〉. We derive a method of representing the ideals, and classify all ideals in the ring GR (p2, m) / 〈 upk - 1 〉. We also analyse the duals, and identify the self-dual ideals. © 2008 Elsevier Inc. All rights reserved. | Source Title: | Finite Fields and their Applications | URI: | http://scholarbank.nus.edu.sg/handle/10635/103094 | ISSN: | 10715797 | DOI: | 10.1016/j.ffa.2008.02.003 |
| Appears in Collections: | Staff Publications |
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