Separable additive quadratic residue codes over $\mathbb{Z}_2\mathbb{Z}_4$ and their applications
Year: 2024
Type: article
Abstract: 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 2024
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404665483