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Optimal Quaternary Hermitian LCD Codes. [PDF]
Entropy (Basel)Linear 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.
Lu L, Li R, Ren Y.
europepmc +5 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
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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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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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