Cyclic codes over non-chain ring R(α1, α2, ... , αs) and their applications to quantum and DNA codes

• Main Authors: Ali, Shakir, Alali, Amal S., Wong, Kok Bin, Oztas, Elif Segah, Sharma, Pushpendra
• Format: Article
• Published: AIMS Press 2024
• Subjects: QA Mathematics
• Online Access: http://eprints.um.edu.my/45838/; https://doi.org/10.3934/math.2024358
• Institution: Universiti Malaya

Let s >= 1 be a fixed integer. In this paper, we focus on generating cyclic codes over the ring R(alpha(1), alpha(2), ... , alpha(s)), where alpha(i) is an element of F-q\textbackslash{0}, 1 <= i <= s, by using the Gray map that is defined by the idempotents. Moreover, we describe the proce...