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|Title:||Cyclic codes over GR (p2, m) of length pk|
|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|
|Appears in Collections:||Staff Publications|
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