Results 11 to 20 of about 24,270 (182)
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
doaj +1 more source
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
IEEE Access, 2023 In this paper, we investigate self-dual double circulant, and self-dual and linear complementary dual (LCD) double negacirculant codes over a finite ring $R = \mathbb F_{q} + u \mathbb F_{q} + v \mathbb F_{q} + uv\mathbb F_{q}$ , where $u^{2}=u$ , $v^{
Hai Q. Dinh +4 more
doaj +1 more source
Duality of Codes Over Non-Unital Rings of Order Four
IEEE Access, 2023 In this paper, we present a basic theory of the duality of linear codes over three of the non-unital rings of order four; namely $I$ , $E$ , and $H$ as denoted in (Fine, 1993).
Adel Alahmadi +2 more
doaj +1 more source
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
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
doaj +1 more source
IEEE Access, 2020 Let p be an odd prime, q = pm, R = Fq + uFq with u2 = 1, and S = Fq + uFq + vFq + uvFq with u2 = 1, v2 = 1, uv = vu. In this paper, FqRS-cyclic codes over FqRS are studied.
Hai Q. Dinh +4 more
doaj +1 more source