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MDS symbol-pair codes from repeated-root cyclic codes [PDF]
Designs, Codes, and Cryptography, 2021 arXiv admin note: text overlap with arXiv:2010 ...
Jinquan Luo
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Repeated-Root Constacyclic Codes With Pair-Metric
IEEE Communications Letters, 2021Symbol-pair codes are block codes when considering the pair-metric, and are designed to protect against pair-errors occur in the pair-read vector which consisting of overlapping pairs of symbols. A code that achieves the analog of Singleton bound for symbol-pair codes is called a maximum distance separable (MDS) symbol-pair code.
Wei Zhao 0049 +3 more
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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
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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.
Jinquan Luo
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On repeated-root cyclic codes [PDF]
IEEE Transactions on Information Theory, 1991 A parity-check matrix for a q-ary repeated-root cyclic code is derived using the Hasse derivative. Then the minimum distance of a q-ary repeated-root cyclic code is expressed in terms of the minimum distance of a certain simple-root cyclic code. With the help of this result, several binary repeated-root cyclic codes of lengths up to n=62 are shown to ...
Guy Castagnoli +3 more
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Repeated-root constacyclic codes of length \(6lp^s\)
Adv. Math. Commun., 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tingting Wu +3 more
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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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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.
Zhi Ma, Lan Luo
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On $b$ -Symbol Distances of Repeated-Root Constacyclic Codes
IEEE Transactions on Information Theory, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anuradha Sharma, Tania Sidana
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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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