Abstract

In this work, constructions for self-dual codes over the ring Z4[x]/(x2 + 2x) are considered together with their images under an orthogonality-preserving grey map, which result in self-dual Z4-codes. Theoretical results about the existence/non-existence of self-dual codes from construction methods such as the double circulant, bordered double circulant and four circulant matrices for the rings Z4 and Z4[x]/(x2 + 2x) are given. The construction methods are then applied to get good self-dual Z4-codes of lengths 16, 32, 48 and 64 (including some extremal type I and type II codes), which are tabulated at the end.

Full Text
Paper version not known

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 call

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.