Abstract
One of the most important problems of coding theory is to construct codes with best possible minimum distances. In this paper, we generalize the method introduced by harada and obtain new codes which improve the best known minimum distance bounds of some linear codes. We have found a new linear ternary code and 8 new linear codes over \bbF_{5} with improved minimum distances. First we introduce a generalized version of Gray map, then we give definition of quasi cyclic codes and introduce nearly quasi cyclic codes. Next, we give the parameters of new codes with their generator matrices. Finally, we have included two tables which give Hamming weight enumerators of these new codes.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
More From: Designs, Codes and Cryptography
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
