Results 11 to 20 of about 24,402 (186)
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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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
Classification of Certain Cyclic LCD Codes
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 +2 more sources
Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes [PDF]
Designs, Codes and Cryptography, 2021 25 ...
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Group LCD and group reversible LCD codes
Finite Fields and Their Applications, 2022 In this paper, we give a new method for constructing LCD codes. We employ group rings and a well known map that sends group ring elements to a subring of the $n \times n$ matrices to obtain LCD codes. Our construction method guarantees that our LCD codes are also group codes, namely, the codes are ideals in a group ring.
Steven T. Dougherty +3 more
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On the minimum weights of binary LCD codes and ternary LCD codes [PDF]
Finite Fields and Their Applications, 2021 25 ...
Araya, Makoto +2 more
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Ternary Primitive LCD BCH codes
Advances in Mathematics of Communications, 2023 16 pages.
Huang, Xinmei +3 more
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LCD codes from tridiagonal Toeplitz matrices [PDF]
Finite Fields and Their Applications, 2021 16 ...
Shi, Minjia +3 more
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On LCD codes and lattices [PDF]
2016 IEEE International Symposium on Information Theory (ISIT), 2016 LCD (linear complimentary dual) codes are linear codes that trivially intersect their duals. We address the question of an equivalent concept for lattices. We observe basic properties of the intersection of a lattice with its dual, and consider the construction of lattices from LCD codes using Construction A.
Hou, Xiaolu, Oggier, Frédérique
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