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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 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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On constacyclic codes over finite fields
Cryptography and Communications, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Anuradha Sharma, Saroj Rani
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Derivative descendants of cyclic codes and constacyclic codes
Designs, Codes and CryptographyzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li Xu +3 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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2017
In this chapter, we study polycyclic, negacyclic, constacyclic, quasicyclic and skew cyclic codes which are all generalizations of the important family of cyclic codes. We describe their algebraic setting and show how to use this setting to classify these families of codes.
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In this chapter, we study polycyclic, negacyclic, constacyclic, quasicyclic and skew cyclic codes which are all generalizations of the important family of cyclic codes. We describe their algebraic setting and show how to use this setting to classify these families of codes.
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