Results 81 to 90 of about 1,030 (123)
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EAQEC codes from two distinct constacyclic codes
Quantum Information Processing, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Peng, Liu, Xiusheng
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New linear codes from constacyclic codes
Journal of the Franklin Institute, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nuh Aydin, John M. Murphree
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Constacyclic codes and constacyclic DFTs
Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252), 2002We discuss the encoding/decoding of constacyclic codes by means of a constacyclic DFT. The constacyclic DFT can be applied to codes over finite fields as well as finite rings. We can also apply the constacyclic DFT to the decoding of cyclic codes by means of a structure theorem that decomposes cyclic codes into constacyclic codes.
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New quantum constacyclic codes
Quantum Information Processing, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruihu Li +3 more
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Constacyclic Codes and Some New Quantum MDS Codes
IEEE Transactions on Information Theory, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kai, Xiaoshan, Zhu, Shixin, Li, Ping
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Constacyclic duadic codes over $${\mathbb {F}}_4$$
Applicable Algebra in Engineering, Communication and Computing, 2021Duadic codes over finite fields, which were introduced by \textit{J. S. Leon} et al. [IEEE Trans. Inf. Theory 30, 709--714 (1984; Zbl 0575.94013)], are an important class of cyclic codes (See also Chapter 6 in [\textit{W. C. Huffman} and \textit{V. Pless}, Fundamentals of error-correcting codes.
Karbaski, Arezoo Soufi +2 more
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Constacyclic codes and cocycles
Proceedings. 1998 IEEE International Symposium on Information Theory (Cat. No.98CH36252), 2002Constacyclic codes may naturally be viewed as objects arising from the cohomological concept of a cocycle. Cohomology theory suggests a transformation which is used to show, under certain circumstances, a cyclic code of length mn over a ring R is isomorphic to the direct sum of m constacyclic codes of length n.
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Quantum convolutional codes derived from constacyclic codes
Modern Physics Letters B, 2014In this paper, three families of quantum convolutional codes are constructed. The first one and the second one can be regarded as a generalization of Theorems 3, 4, 7 and 8 [J. Chen, J. Li, F. Yang and Y. Huang, Int. J. Theor. Phys., doi:10.1007/s10773-014-2214-6 (2014)], in the sense that we drop the constraint q ≡ 1 ( mod 4).
Tingsu Yan, Xinmei Huang, Yuansheng Tang
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New quantum MDS code from constacyclic codes
Chinese Annals of Mathematics, Series B, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hu, Liqin, Yue, Qin, Zhu, Xiaomeng
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Optimal constacyclic locally repairable codes
IEEE Communications Letters, 2019Being part of distributed storage systems, locally repairable codes (LRCs) have drawn great attention in the past years. Inspired by a recent construction of optimal LRCs-based on cyclic codes, constacyclic LRCs are studied in this letter. Specifically, a family of optimal constacyclic $(r,\delta)_{q}$ -LRCs with unbounded length and minimum ...
Zhonghua Sun, Shixin Zhu, Liqi Wang
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