Results 111 to 120 of about 148 (136)
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Constructions of Symplectic LCD MDS Codes
Bulletin of the Malaysian Mathematical Sciences Society, 2021An error-correcting code having trivial intersection with its dual code is named a linear complementary dual (LCD) code. The most studied cases are those where the duality is with respect to Euclidean or Hermitian inner products. Stabilizer quantum codes appear naturally from considering a symplectic form, which allows us to use Hermitian and Euclidean
H. Q. Xu, W. Du
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IEEE Transactions on Information Theory, 2017
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Shuxing Li +3 more
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Shuxing Li +3 more
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Optimal quaternary Hermitian LCD codes and their related codes
Designs, Codes and Cryptography, 2022Linear codes with complimentary duals (LCD) are defined as codes such that their hull \(\mathrm{Hull}_H(C)=C\cap C^\bot=0,\) where \(C^\bot\) is the Hermitian dual of \(C.\) The focus of this work are LCD codes over \(\mathrm{GF}(4)\) and the goal is to find the distance-optimal among them.
Zhonghua Sun 0001 +2 more
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On Hermitian LCD codes and their Gray image
Finite Fields and Their Applications, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Binary primitive LCD BCH codes
Designs, Codes and Cryptography, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xinmei Huang +4 more
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Hermitian LCD codes from cyclic codes
Designs, Codes and Cryptography, 2017zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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EAQEC codes from the LCD codes decomposition of linear codes
Quantum Information ProcessingzbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hui Li, Xiusheng Liu
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Hamming graphs and special LCD codes
Journal of Applied Mathematics and Computing, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Washiela Fish +3 more
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Discrete Mathematics, Algorithms and Applications
In this paper, we introduce several new construction techniques of linear complimentary dual (LCD) codes. First, we show that if a LCD code is fixed by a transitive automorphism group, then the punctured code is also LCD. We show that several important families such as anti-primitive BCH codes and extended Gabidulin codes are LCD.
Nouara Zoubir +3 more
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In this paper, we introduce several new construction techniques of linear complimentary dual (LCD) codes. First, we show that if a LCD code is fixed by a transitive automorphism group, then the punctured code is also LCD. We show that several important families such as anti-primitive BCH codes and extended Gabidulin codes are LCD.
Nouara Zoubir +3 more
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Locally maximal recoverable codes and LMR-LCD codes
Designs, Codes and CryptographyThe paper introduces two new classes of \((r,\delta)\)-locally recoverable codes (LRCs), called locally maximal recoverable (LMR) codes and \(\lambda\)-maximally recoverable (MR) codes. These generalize the well-studied \((n,k,r,\delta,h)\)-MR codes, where \(h\) heavy (global) parities are added to \(k\) information symbols, then partitioned into ...
Rajendra Prasad Rajpurohit +2 more
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