Affiliation:
1. Department of Applied Sciences, Punjab Engineering College (Deemed to be University), Chandigarh 160012, India
Abstract
This work establishes a unique set of generators for a cyclic code over a finite chain ring. Towards this, we first determine the minimal spanning set and rank of the code. Furthermore, sufficient as well as necessary conditions for a cyclic code to be an MDS code and for a cyclic code to be an MHDR code are obtained. Finally, to support our results, some examples of optimal cyclic codes are presented.
Funder
Council of Scientific and Industrial Research, India
Reference30 articles.
1. The Z4-linearity of kerdock, preparata, goethals, and related codes;A. R. Hammons;IEEE Transactions on Information Theory,1994
2. Modular and p-adic codes;A. R. Calderbank;Designs, Codes and Cryptography,1995
3. Reversible codes;J. L. Massey;Information and Control,1964
4. Construction of reversible cyclic codes over Zpk;H. Islam;Journal of Discrete Mathematical Sciences and Cryptography,2022
5. Reversible cyclic codes over some finite rings and their application to DNA codes;O. Prakash;Computational and Applied Mathematics,2021
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献