A note on cyclic codes over GR\((p^2,m)\) of length \(p^k\) (Q1017420)
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scientific article; zbMATH DE number 5554718
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on cyclic codes over GR\((p^2,m)\) of length \(p^k\) |
scientific article; zbMATH DE number 5554718 |
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A note on cyclic codes over GR\((p^2,m)\) of length \(p^k\) (English)
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19 May 2009
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Cyclic codes of length \(p^k\) over the Galois ring \(GR(p^2,m)\) are ideals of the ring \(GR(p^2,m)[u]/\langle u^{p^k}-1\rangle\). Self-dual ideals of this ring were classified by \textit{H. M. Kiah, K. H. Leung} and \textit{S. Ling} [Finite Fields Appl. 14, No. 3, 834--846 (2008; Zbl 1175.94124)]. Here the authors correct a mistake in the above article, giving a classification of these self-dual codes.
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cyclic codes
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Galois rings
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self-dual codes
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0.99749243
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0.97779584
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0.93669534
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0.9331987
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0.9325316
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0.9199586
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0.91232955
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