Exploring simplex codes and their applications over Z3Z6
Mohammed M. Al-Ashker, Karima Chatouh · Filomat · 2025
This article delves into the investigation of simplex codes of types ?, ?, and ? over the ring Z3Z6. It examines the fundamental properties of these codes, including their covering radius, association schemes, and practical applications in multi-secret sharing schemes. The covering radius analysis sheds light on the error-correcting capabilities of Z3Z6-simplex codes, crucial for reliable communication systems. Additionally, association schemes for Z6-simplex codes provide insights into efficient encoding and decoding strategies, enhancing their performance in various applications. Furthermore, the development of a multi-secret sharing scheme based on these codes highlights their versatility beyond traditional error correction, offering promising avenues for secure multi-party communication and data storage. This explo-ration of simplex codes over Z3Z6 not only contributes to theoretical coding theory but also opens up new opportunities in practical cryptography, advancing the realm of secure information exchange protocols.