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New MDS Symbol-Pair Codes From Repeated-Root Codes
IEEE Communications Letters, 2018Symbol-pair codes can be used to guard against pair errors over symbol-pair read channels. One of the central themes in symbol-error correction is the construction of maximal distance separable (MDS) symbol-pair codes that possess the largest possible pair-error correcting performance.
Xiaoshan Kai +4 more
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Non-Binary Quantum Synchronizable Codes From Repeated-Root Cyclic Codes
IEEE Transactions on Information Theory, 2018In this paper, we construct a new family of quantum synchronizable codes from repeated-root cyclic codes of lengths $p^{s}$ and $lp^{s}$ over $\mathbb {F}_{q}$ , where $s\geq 1~and l\geq 2$ are integers, and $p\geq 3$ is the odd characteristic.
Lan Luo, Zhi Ma
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On generalizations of repeated-root cyclic codes
IEEE Transactions on Information Theory, 1996The author first considers repeated-root cyclic codes, i.e. cyclic codes whose block length is divisible by the characteristic of the underlying field. The error-correction capabilities of repeated-root cyclic codes are studied. Also some properties and their generalization of the repeated-root cyclic codes are determined.
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Repeated-Root Constacyclic Codes of Length $$k\ell p^s$$
Bulletin of the Malaysian Mathematical Sciences Society, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Yan, Shi, Minjia
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On LCD repeated-root cyclic codes over finite fields
Journal of Applied Mathematics and Computing, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pang, Binbin, Zhu, Shixin, Li, Jin
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Quantum synchronizable codes from repeated-root quasi-cyclic codes
Computational and Applied Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chao Du, Zhi Ma, Yiting Liu
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AMDS symbol-pair codes from repeated-root cyclic codes
Discrete Mathematics, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junru Ma, Jinquan Luo
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Ranks of repeated-root constacyclic code
Wuhan University Journal of Natural Sciences, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Hongju, Ding, Jian, Tang, Yongsheng
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NONBINARY QUANTUM CODES DERIVED FROM REPEATED-ROOT CYCLIC CODES
Modern Physics Letters B, 2013Many good quantum error-correcting codes were constructed from cyclic codes. However, it is a difficult problem to determine the true minimum distance of quantum cyclic codes for large length n. In this work, we construct nonbinary quantum cyclic codes and asymmetric quantum cyclic codes that are derived from repeated-root cyclic codes for an arbitrary
JIANFA QIAN, LINA ZHANG
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MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes
Finite Fields and Their Applications, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tang, Xiuxin, Luo, Rong
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