Results 201 to 210 of about 36,705 (229)
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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On generalizations of repeated-root cyclic codes
IEEE Transactions on Information Theory, 1996 The 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.
K.-H. Zimmermann
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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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International Journal of Theoretical Physics, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saroj Rani +2 more
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Quantum Information ProcessingzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiusheng Liu, Peng Hu
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MDS and AMDS symbol-pair codes constructed from repeated-root cyclic codes
Finite Fields and Their Applications, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiuxin Tang, Rong Luo
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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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Frequency domain description of repeated-root (cyclic) codes
Proceedings of 1994 IEEE International Symposium on Information Theory, 2002 Repeated-root cyclic codes have been investigated. A "frequency" domain description for such codes is introduced which leads to a generalization of repeated-root codes which are quasi-cyclic instead of cyclic, but have better code parameters. The "frequency" domain description cannot be done in terms of generalized Fourier transforms, but it is ...
P. Mathys
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Quantum Information Processing, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hai Q. Dinh +4 more
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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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