Results 11 to 20 of about 59,638 (210)
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
doaj +3 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 ...
openaire +3 more sources
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
openaire +4 more sources
On the minimum weights of binary LCD codes and ternary LCD codes [PDF]
Finite Fields and Their Applications, 2021 25 ...
Araya, Makoto +2 more
openaire +2 more sources
Ternary Primitive LCD BCH codes
Advances in Mathematics of Communications, 2023 16 pages.
Huang, Xinmei +3 more
openaire +3 more sources
LCD codes from tridiagonal Toeplitz matrices [PDF]
Finite Fields and Their Applications, 2021 16 ...
Shi, Minjia +3 more
openaire +2 more sources
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
openaire +2 more sources