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Optimal Quaternary Hermitian LCD Codes [PDF]
EntropyLinear complementary dual (LCD) codes, which are a class of linear codes introduced by Massey, have been extensively studied in the literature recently. It has been shown that LCD codes play a role in measures to counter passive and active side-channel analyses on embedded cryptosystems.
Liangdong Lü, Ruihu Li, Yuezhen Ren
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Classification of Certain Cyclic LCD Codes [PDF]
Scientific Annals of Computer ScienceWe show that a necessary and sufficient condition for a cyclic code C of length N over a finite chain ring R (whose maximal ideal has nilpotence 2) to be an LCD code is that C = (f(x)), where f(X) is a self-reciprocal monic divisor of XN − 1 in R[X] and x = X + (XN − 1) in R[X]/(XN − 1).
Seth Gannon, Hamid Kulosman
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Ternary primitive LCD BCH codes [PDF]
Advances in Mathematics of Communications, 2021 16 pages.
Xinmei Huang +3 more
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Constructions of optimal LCD codes over large finite fields [PDF]
, 2017 In this paper, we prove existence of optimal complementary dual codes (LCD codes) over large finite fields. We also give methods to generate orthogonal matrices over finite fields and then apply them to construct LCD codes.
Shi, Minjia, Sok, Lin, Solé, Patrick
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New binary and ternary LCD codes [PDF]
IEEE Transactions on Information Theory, 2017 LCD codes are linear codes with important cryptographic applications. Recently, a method has been presented to transform any linear code into an LCD code with the same parameters when it is supported on a finite field with cardinality larger than 3 ...
Galindo, Carlos +3 more
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Advances in Mathematics of Communications, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zihui Liu
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New Constructions of Optimal Binary LCD Codes [PDF]
Finite Fields and Their Applications, 2023 Linear complementary dual (LCD) codes can provide an optimum linear coding solution for the two-user binary adder channel. LCD codes also can be used to against side-channel attacks and fault non-invasive attacks. Let $d_{LCD}(n, k)$ denote the maximum value of $d$ for which a binary $[n,k, d]$ LCD code exists.
Guodong Wang, Shengwei Liu, Hongwei Liu
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Filomat, 2018 Linear codes with complementary duals (LCD) have a great deal of significance amongst linear codes. Maximum distance separable (MDS) codes are also an important class of linear codes since they achieve the greatest error correcting and detecting ...
Koroglu, Mehmet E., Sarı, Mustafa
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New characterization and parametrization of LCD Codes [PDF]
IEEE Transactions on Information Theory, 2017 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 ...
Carlet, Claude +3 more
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IEEE Transactions on Information Theory, 2018 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.
Claude Carlet +3 more
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