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Construction of quaternary Hermitian LCD codes [PDF]
Cryptography and Communications, 2022 We introduce a general construction of many Hermitian LCD $[n, k]$ codes from a given Hermitian LCD $[n, k]$ code. Furthermore, we present some results on punctured codes and shortened codes of quaternary Hermitian LCD codes. As an application, we improve some of the previously known lower bounds on the largest minimum weights of quaternary Hermitian ...
Keita Ishizuka
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Construction of binary LCD codes, ternary LCD codes and quaternary Hermitian LCD codes [PDF]
Designs, Codes and Cryptography, 2021 25 ...
Masaaki Harada
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IEEE Transactions on Information Theory, 2019 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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Some bounds on binary LCD codes [PDF]
Cryptography and Communications, 2017 9 pages, 2 ...
Lucky Galvez +4 more
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Optimal Quaternary Hermitian LCD Codes
EntropyLinear complementary dual (LCD) codes, which are a class of linear codes introduced by Massey, have been extensively studied in the literature recently.
Liangdong Lu, Ruihu Li, Yuezhen Ren
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LCD codes from weighing matrices [PDF]
Applicable Algebra in Engineering, Communication and Computing, 2019 15 pages; accepted in Applicable Algebra in Engineering, Communication and ...
Dean Crnković +3 more
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Galois LCD Codes over Finite Fields [PDF]
Finite Fields and Their Applications, 2017 In this paper, we study the complementary dual codes in more general setting (which are called Galois LCD codes) by a uniform method. A necessary and sufficient condition for linear codes to be Galois LCD codes is determined, and constacyclic codes to be Galois LCD codes are characterized.
Xiusheng Liu, Yun Fan, Hualu Liu
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On the minimum weights of binary LCD codes and ternary LCD codes [PDF]
Finite Fields and Their Applications, 2021 25 ...
Makoto Araya, Masaaki Harada, Ken Saito
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Some codes and designs invariant under the groups $S_7$ and $S_8$ [PDF]
Journal of Mahani Mathematical Research, 2023 We use the Key-Moori Method 1 and examine 1-designs and codes from the representations of the alternating group $A_7$. It is shown that a self-dual symmetric 2-$(35,18,9)$ design and an optimal even binary $[21,14,4]$ LCD code are found such that they ...
Reza Kahkeshani
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