On Some Classes of $\mathbb{Z}_{2}\mathbb{Z}_{4}-$Linear Codes and their Covering Radius
K. Chatouh, K. Guenda, T.A.Gulliver, L. Noui
TL;DR
This paper introduces new classes of mixed binary-quaternary linear codes, specifically $bZ_2bZ_4$-Simplex and MacDonald codes, and determines their covering radii, expanding understanding of their geometric properties.
Contribution
The paper defines $bZ_2bZ_4$-Simplex and MacDonald codes of types $eta$ and $eta$, and computes their covering radii, providing new insights into their structure.
Findings
Covering radius of $bZ_2bZ_4$-Simplex codes determined.
Covering radius of $bZ_2bZ_4$-MacDonald codes determined.
Enhanced understanding of geometric properties of mixed codes.
Abstract
In this paper we define Simplex and MacDonald Codes of type and and we give the covering radius of these codes.
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Taxonomy
TopicsCoding theory and cryptography · Cooperative Communication and Network Coding · graph theory and CDMA systems