Some quaternary additive codes outperform linear counterparts
C Guan, R Li, Y Liu, Z Ma - IEEE Transactions on Information …, 2023 - ieeexplore.ieee.org
The additive codes may have better parameters than linear codes. However, it is still a
challenging problem to efficiently construct additive codes that outperform linear codes …
challenging problem to efficiently construct additive codes that outperform linear codes …
Quaternary conjucyclic codes with an application to EAQEC codes
MA Hossain, R Bandi - arXiv preprint arXiv:2309.01983, 2023 - arxiv.org
Conjucyclic codes are part of a family of codes that includes cyclic, constacyclic, and quasi-
cyclic codes, among others. Despite their importance in quantum error correction, they have …
cyclic codes, among others. Despite their importance in quantum error correction, they have …
ACD codes over skew-symmetric dualities
A Agrawal, RK Sharma - Cryptography and Communications, 2024 - Springer
Additive codes have gained importance in algebraic coding theory due to their applications
in quantum error correction and quantum computing. The article begins by developing some …
in quantum error correction and quantum computing. The article begins by developing some …
On additive codes with one-rank hulls
We study additive codes with 1-rank hulls and examine their properties for various dualities
of the finite field of order 4. We give several constructions of additive and linear codes with 1 …
of the finite field of order 4. We give several constructions of additive and linear codes with 1 …
Additive one-rank hull codes over finite fields
This article explores additive codes with one-rank hull, offering key insights and
constructions. The article introduces a novel approach to finding one-rank hull codes over …
constructions. The article introduces a novel approach to finding one-rank hull codes over …
Group LCD and group reversible LCD codes
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× n matrices to …
and a well known map that sends group ring elements to a subring of the n× n matrices to …