Results 181 to 190 of about 59,638 (210)
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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.
N. 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.
N. Zoubir +3 more
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New LCD MDS codes constructed from generalized Reed–Solomon codes
Journal of Algebra and Its Applications, 2019Maximum distance separable codes with complementary duals (LCD MDS codes) are very important in coding theory and practice, and have attracted a lot of attention. In this paper, we focus on LCD MDS codes constructed from generalized Reed–Solomon (GRS) codes over a finite field with odd characteristic.
Shi, Xueying, Yue, Qin, Yang, Shudi
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Computational and Applied Mathematics
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F. Rebaine, K. Guenda, T. A. Gulliver
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
F. Rebaine, K. Guenda, T. A. Gulliver
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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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Some constructions of $l$-Galois LCD codes
Advances in Mathematics of CommunicationsLet \({\mathbb F}_q\) be the finite field with \(q = p^m\) elements. The Galois inner product is a generalization of Hermitian and Euclidean inner products. It's defined as \(a\ast_ l b= \sum\limits_{i=1}^{n}a_ib_i^{p^l},\) where \(0\leq l\leq m-1.\) Similarly, we can define the \(l\)-Galois dual code of \(C\) as \(C^{\bot_l}=\{a\in \mathbb{F}_q^n\vert
Yadav, Shikha +2 more
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Mass Spectrometry-Based Techniques to Elucidate the Sugar Code
Chemical Reviews, 2022Márkó Grabarics +2 more
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An expanded lexicon for the ubiquitin code
Nature Reviews Molecular Cell Biology, 2022Ivan Đikić, Brenda A Schulman
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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, 2018
Minjia SHI, Daitao HUANG
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Minjia SHI, Daitao HUANG
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Suppressing quantum errors by scaling a surface code logical qubit
Nature, 2023, , Joseph Bardin
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