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Some bounds on binary LCD codes [PDF]
Cryptography and Communications, 2017 9 pages, 2 ...
Jon-Lark Kim
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Bulletin of the Australian Mathematical Society, 2022
AbstractWu and Shi [‘A note on k-Galois LCD codes over the ring $\mathbb {F}_q + u\mathbb {F}_q$ ’, Bull. Aust. Math. Soc.104(1) (2021), 154–161] studied $ k $ -Galois LCD codes over the finite chain ring $\mathcal {R}=\mathbb {F}_q+u\mathbb {F}_q$ , where $u^2=0$ and $ q=p^e$ for some prime p and positive integer e. We extend the results to the
ASTHA AGRAWAL +2 more
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AbstractWu and Shi [‘A note on k-Galois LCD codes over the ring $\mathbb {F}_q + u\mathbb {F}_q$ ’, Bull. Aust. Math. Soc.104(1) (2021), 154–161] studied $ k $ -Galois LCD codes over the finite chain ring $\mathcal {R}=\mathbb {F}_q+u\mathbb {F}_q$ , where $u^2=0$ and $ q=p^e$ for some prime p and positive integer e. We extend the results to the
ASTHA AGRAWAL +2 more
openaire +1 more source
IEEE Transactions on Information Theory, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shuxing Li, Chengju Li, Ding, Cunsheng
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shuxing Li, Chengju Li, Ding, Cunsheng
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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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2017
Linear complementary pairs (LCP) of codes play an important role in armoring implementations against side-channel attacks and fault injection attacks. One of the most common ways to construct LCP of codes is to use Euclidean linear complementary dual (LCD) codes. In this paper, we first introduce the concept of linear codes with $ $ complementary dual
Carlet, Claude +3 more
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Linear complementary pairs (LCP) of codes play an important role in armoring implementations against side-channel attacks and fault injection attacks. One of the most common ways to construct LCP of codes is to use Euclidean linear complementary dual (LCD) codes. In this paper, we first introduce the concept of linear codes with $ $ complementary dual
Carlet, Claude +3 more
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New Characterization and Parametrization of LCD Codes [PDF]
IEEE Transactions on Information Theory, 2019 Linear complementary dual (LCD) cyclic codes were referred historically to as reversible cyclic codes, which had applications in data storage. Due to a newly discovered application in cryptography, there has been renewed interest in LCD codes. In particular, it has been shown that binary LCD codes play an important role in implementations against side ...
Claude Carlet +2 more
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LCD codes arising from wavelets
São Paulo Journal of Mathematical Sciences, 2022The Haar functions were introduced at the beginning of XX century and later it was considered as tjhe mother function of the 1-order Daubechies Wavelet Db1. Haar function is defined as 1 in the first half of the real unit interval, as \(-1\) in the second interval and 0 elsewhere in the real line.
de Melo-Hernández, Fernanda D. +2 more
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Procedia Computer Science, 2017 A binary linear code C is called a linear complementary dual (LCD) code if it meets its dual trivially. The concept of strong coset leader is introduced to characterize LCD cyclic codes and a unified formula on the amount of LCD cyclic codes with given code length n is presented.
Ruihu Li
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Niederreiter-Rosenbloom-Tsfasman LCD codes
Advances in Mathematics of Communications, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xu, Heqian, Xu, Guangkui, Du, Wei
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On LCD Negacyclic Codes over Finite Fields [PDF]
Journal of Systems Science and Complexity, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shixin Zhu, Zhonghua Sun
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