Results 31 to 40 of about 90,302 (257)

A Class of Quantum LDPC Codes Constructed From Finite Geometries

, 2008
Low-density parity check (LDPC) codes are a significant class of classical codes with many applications. Several good LDPC codes have been constructed using random, algebraic, and finite geometries approaches, with containing cycles of length at least ...
Aly, Salah A.
core   +1 more source

Self-Orthogonal Codes From p-Divisible Codes

IEEE Transactions on Information Theory
61 ...
Xiaoru Li, Ziling Heng
openaire   +3 more sources

New Non-Binary Quantum Codes Derived From a Class of Linear Codes

IEEE Access, 2019
In this short paper, we consider the non-binary quantum codes construction from a class of linear codes, which are not self-orthogonal over finite fields. As the computational results, new quantum codes [[8, 0, ≥ 4]]3, [[8, 2, ≥ 3]]3, [[11,
Jian Gao, Yongkang Wang
doaj   +1 more source

On the Hamming Distances of Constacyclic Codes of Length 5p^S

IEEE Access, 2020
Let $p$ be a prime, $s$ , $m$ be positive integers, and $\lambda $ be a nonzero element of the finite field $\mathbb {F}_{p^{m}}$ . In this paper, the algebraic structures of constacyclic codes of length $5~p^{s}~(p\neq 5)$ are obtained, which ...
Hai Q. Dinh, Xiaoqiang Wang, Jirakom Sirisrisakulchai   +2 more
doaj   +1 more source

Matrix-Product Codes over Commutative Rings and Constructions Arising from σ,δ-Codes

Journal of Mathematics, 2021
A well-known lower bound (over finite fields and some special finite commutative rings) on the Hamming distance of a matrix-product code (MPC) is shown to remain valid over any commutative ring R.
Mhammed Boulagouaz, Abdulaziz Deajim
doaj   +1 more source

An Algorithm for Finding Self-Orthogonal and Self-Dual Codes Over Gaussian and Eisenstein Integer Residue Rings Via Chinese Remainder Theorem

IEEE Access, 2023
A code over Gaussian or Eisenstein integer residue ring is an additive group of vectors with entries in this integer residue ring which is closed under the action of constant multiplication by the Gaussian or Eisenstein integers. In this paper, we define
Hajime Matsui
doaj   +1 more source

Construction of Hermitian Self-Orthogonal Codes and Application

Mathematics
We introduce some methods for constructing quaternary Hermitian self-orthogonal (HSO) codes, and construct quaternary [n, 5] HSO for 342≤n≤492. Furthermore, we present methods of constructing Hermitian linear complementary dual (HLCD) codes from known ...
Yuezhen Ren, Ruihu Li, Hao Song
doaj   +1 more source

Various structures of cyclic codes and LCD codes over $ GR(p^3, m)[v]/\langle v^2-p^2\alpha, p v\rangle $

AIMS Mathematics
Let $ p $ be a prime and $ m $ a positive integer. This paper investigates cyclic and self-dual codes of length $ n $ over the local Frobenius non-chain ring $ R = \mathrm{GR}(p^3, m)[v] $, with $ v^2 = p^2 \alpha $, $ \alpha \in \mathbb{F}^*_{p^m ...
Sami Alabiad, Alhanouf Ali Alhomaidhi
doaj   +1 more source

Constacyclic codes over 𝔽pm[u1, u2,⋯,uk]/〈 ui2 = ui, uiuj = ujui〉

Open Mathematics, 2018
In this paper, we study linear codes over ring Rk = 𝔽pm[u1, u2,⋯,uk]/〈ui2$\begin{array}{} u^{2}_{i} \end{array} $ = ui, uiuj = ujui〉 where k ≥ 1 and 1 ≤ i, j ≤ k.
Zheng Xiying, Kong Bo
doaj   +1 more source

Neutrosophic Quadruple Algebraic Codes over Z2 and their Properties [PDF]

Neutrosophic Sets and Systems, 2020
In this paper we for the first time develop, define and describe a new class of algebraic codes using Neutrosophic Quadruples which uses the notion of known value, and three unknown triplets (T, I, F) where T is the truth value, I is the indeterminate ...
Vasantha Kandasamy, Ilanthenral Kandasamy , Florentin Smarandache   +2 more
doaj   +1 more source