Separable additive quadratic residue codes over $\mathbb{Z}_2\mathbb{Z}_4$ and their applications
DOI:
https://doi.org/10.13069/jacodesmath.v12i1.353Keywords:
Separable additive quadratic residue codes, Idempotent generators, Self-dual codes, Additive complementary pair codes, Additive $l$-intersection pairs of codesAbstract
This paper examines separable additive quadratic residue codes (QRCs) over $\mathbb{Z}_{2}\mathbb{Z}_{4}$ and their applications. The idempotent generators of these codes are obtained. Further, the properties of separable additive QRCs over $\mathbb{Z}_{2}\mathbb{Z}_{4}$ are studied including their idempotent generators. As applications, these codes are used to construct self-dual, self-orthogonal, additive complementary pair (ACP) codes, additive complementary dual (ACD) codes, and additive $l$-intersection pairs of codes over $\mathbb{Z}_{2}\mathbb{Z}_{4}$.
Received: 5 October 2024 | Accepted: 8 November 2024Downloads
Download data is not yet available.
Downloads
Published
2024-11-24
How to Cite
Karbaski, A. ., Abualrub, T., Guenda, K. ., & Gulliver, T. A. . (2024). Separable additive quadratic residue codes over $\mathbb{Z}_2\mathbb{Z}_4$ and their applications. Journal of Algebra Combinatorics Discrete Structures and Applications, 12(1), 31–42. https://doi.org/10.13069/jacodesmath.v12i1.353
Issue
Section
Articles
