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Quantum synchronizable codes from repeated-root quasi-cyclic codes

Computational and Applied Mathematics, 2023
zbMATH 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, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Junru Ma, Jinquan Luo
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New MDS Symbol-Pair Codes From Repeated-Root Codes

IEEE Communications Letters, 2018
Symbol-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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Ranks of repeated-root constacyclic code

Wuhan University Journal of Natural Sciences, 2016
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Li, Hongju, Ding, Jian, Tang, Yongsheng
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NONBINARY QUANTUM CODES DERIVED FROM REPEATED-ROOT CYCLIC CODES

Modern Physics Letters B, 2013
Many 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, 2023
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Tang, Xiuxin, Luo, Rong
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On $b$ -Symbol Distances of Repeated-Root Constacyclic Codes

IEEE Transactions on Information Theory, 2019
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Anuradha Sharma, Tania Sidana
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Non-Binary Quantum Synchronizable Codes From Repeated-Root Cyclic Codes

IEEE Transactions on Information Theory, 2018
In 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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