Results 11 to 20 of about 60,119 (234)
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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Euclidean and Hermitian LCD MDS codes [PDF]
, 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
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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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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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On the largest minimum distances of [n,6] LCD codes. [PDF]
HeliyonLiu Y, Li R.
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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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On the Construction of Quantum and LCD Codes from Cyclic Codes over the Finite Commutative Rings
Axioms, 2023 Let Fq be a field of order q, where q is a power of an odd prime p, and α and β are two non-zero elements of Fq. The primary goal of this article is to study the structural properties of cyclic codes over a finite ring R=Fq[u1,u2]/⟨u12−α2,u22−β2,u1u2 ...
Shakir Ali +5 more
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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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