Results 1 to 10 of about 60,467 (241)
Euclidean and Hermitian LCD MDS codes [PDF]
Designs, Codes and Cryptography, 2017 Linear codes with complementary duals (abbreviated LCD) are linear codes whose intersection with their dual is trivial. When they are binary, they play an important role in armoring implementations against side-channel attacks and fault injection attacks.
Carlet, Claude +3 more
core +7 more sources
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 X^N − 1 in R[X] and
Seth Gannon, Hamid Kulosman
doaj +3 more sources
Ternary primitive LCD BCH codes [PDF]
Advances in Mathematics of Communications, 2021 16 pages.
Xinmei Huang +3 more
openalex +4 more sources
Dimensions of some LCD BCH codes [PDF]
CoRR, 2023 In this paper, we investigate the first few largest coset leaders modulo $\frac{q^m+1}λ$ where $λ\mid q+1$ and $q$ is an odd prime power, and give the dimensions of some LCD BCH codes of length $\frac{q^m+1}λ$ with large designed distances.We also determine the dimensions of some LCD BCH codes of length $n=\frac{(q^m+1)}λ$ with designed distances $2 ...
Hanglong Zhang, Xiwang Cao
openalex +3 more sources
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
core +6 more sources
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
openalex +4 more sources
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
core +3 more sources
Advances in Mathematics of Communications, 2022 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zihui Liu
openalex +3 more sources
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
core +5 more sources
Construction for both self-dual codes and LCD codes [PDF]
Advances in Mathematics of Communications, 2021 From a given $[n, k]$ code $C$, we give a method for constructing many $[n, k]$ codes $C'$ such that the hull dimensions of $C$ and $C'$ are identical. This method can be applied to constructions of both self-dual codes and linear complementary dual codes (LCD codes for short).
Keita Ishizuka, Ken Saito
openalex +4 more sources