Abstract
By constructing a Gray map, a class of constacyclic codes over ring R = R+vR is studied. Using cyclic codes and negacyclic codes of length ps over ring R, the structure of (1−2v)-constacyclic codes and dual codes of length ps over ring R are given, the Gray images of (1 − 2v)-constacyclic codes in a particular case are also studied. It is shown that linear codes of length ps over ring R are (1−2v)-constacyclic codes if and only if their Gray images are distance-invariant cyclic codes of length 2ps over ring R.
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 callDisclaimer: 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.
