Abstract
In this paper, we study cyclic codes over the ring \(\mathbb Z _p[u]/\langle u^k\rangle .\) We find a set of generators for these codes. We also study the rank and the Hamming distance of these codes.
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Communicated by J.-L. Kim.
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Singh, A.K., Kewat, P.K. On cyclic codes over the ring \(\mathbb Z _p[u]/\langle u^k\rangle \) . Des. Codes Cryptogr. 74, 1–13 (2015). https://doi.org/10.1007/s10623-013-9843-2
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DOI: https://doi.org/10.1007/s10623-013-9843-2