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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 linear codes from constacyclic codes
Journal of the Franklin Institute, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nuh Aydin, John Murphree
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The images of constacyclic codes and new quantum codes
Quantum Information Processing, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiaoshan Kai +2 more
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ℤ4R-additive cyclic and constacyclic codes and MDSS codes
Discrete Mathematics, Algorithms and Applications, 2022In this paper, we will study the structure of [Formula: see text]-additive codes where [Formula: see text] is the well-known ring of 4 elements and [Formula: see text] is the ring given by [Formula: see text], where [Formula: see text], [Formula: see text] and [Formula: see text].
Arazgol Ghajari +3 more
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EAQEC codes from two distinct constacyclic codes
Quantum Information Processing, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peng Hu, Xiusheng Liu
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Quantum Codes Obtained from Constacyclic Codes
International Journal of Theoretical Physics, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Habibul Islam +2 more
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Quantum Cyclic and Constacyclic Codes
IEEE Transactions on Information Theory, 2004Based on classical quaternary constacyclic linear codes, we construct a set of quantum codes with parameters [[(4/sup m/ -1)/3, (4/sup m/ -1)/3 -2(3l + b)m, 4l + b + 2]] where m/spl ges/4, 1/spl les/b/spl les/3, and 12l + 3b < 2 /spl times/ 4/sup /spl lfloor/(m+2)/3/spl rfloor//-1, which are better than the codes in Bierbrauer and Edel (2000).
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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.
Xiaoshan Kai, Shixin Zhu, Ping Li 0035
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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 0001, Shixin Zhu, Liqi Wang
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Cyclic concatenated codes with constacyclic outer codes
IEEE Transactions on Information Theory, 1992Summary: The known construction of cyclic concatenated codes is based on the fact that the inner code is a cyclic minimal code, the outer code is cyclic, and the lengths of the inner and outer codes are relatively prime. Here, it is shown that if the outer code is a suitably chosen constacyclic code the overall concatenated code is always cyclic ...
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