research
∙
09/21/2023
A quaternary analogue of Tang-Ding codes
In a recent paper, Tang and Ding introduced a class of binary cyclic cod...
share
research
∙
06/12/2023
Fuzzy linear codes based on nested linear codes
In this paper, we describe a correspondence between a fuzzy linear code ...
research
∙
03/29/2023
Binary self-orthogonal codes which meet the Griesmer bound or have optimal minimum distances
The purpose of this paper is two-fold. First, we characterize the existe...
research
∙
11/04/2022
Characterization of optimal binary linear codes with one-dimensional hull
The hull of a linear code over finite fields is the intersection of the ...
research
∙
10/26/2022
Binary optimal linear codes with various hull dimensions and entanglement-assisted QECC
The hull of a linear code C is the intersection of C with its dual. To t...
research
∙
10/12/2022
Two conjectures on the largest minimum distances of binary self-orthogonal codes with dimension 5
The purpose of this paper is to solve the two conjectures on the largest...
research
∙
07/05/2022
Additive complementary dual codes over _4
A linear code is linear complementary dual (LCD) if it meets its dual tr...
research
∙
11/24/2021
Self-orthogonality matrix and Reed-Muller code
Kim et al. (2021) gave a method to embed a given binary [n,k] code 𝒞 (k ...
research
∙
06/14/2021
Self-orthogonal codes over a non-unital ring and combinatorial matrices
There is a local ring E of order 4, without identity for the multiplicat...
research
∙
02/16/2021
An improved upper bound on self-dual codes over finite fields GF(11), GF(19), and GF(23)
This paper gives new methods of constructing symmetric self-dual codes o...
research
∙
02/13/2021
DNA codes over two noncommutative rings of order four
DNA codes based on error-correcting codes have been successful in DNA-ba...
research
∙
09/14/2020
Self-dual codes over GF(q) with symmetric generator matrices
We introduce a consistent and efficient method to construct self-dual co...
research
∙
02/05/2020
Embedding linear codes into self-orthogonal codes and their optimal minimum distances
We obtain a characterization on self-orthogonality for a given binary li...
research
∙
11/17/2019
Projection decoding of some binary optimal linear codes of lengths 36 and 40
Practically good error-correcting codes should have good parameters and ...
research
∙
12/12/2018
McNie2-Gabidulin: An improvement of McNie public key encryption using Gabidulin code
McNie is a code-based public key encryption scheme submitted as a candid...
research
∙
12/12/2018
