Abstract

The purpose is to complete the classification of extremal additive circulant self-dual codes of lengths up to 15 and construct some good such codes for lengths 16 /spl les/ n /spl les/ 30. We also complete the classification of extremal additive 4-circulant self-dual codes of lengths 4, 6, 8, 12, 14, and 16 and most codes of length 10 and construct good such codes of even lengths up to 22. As a byproduct, we obtained several new extremal self-dual Type I [[16,0,6]] codes, Type II [[22,0,8]] codes, and a Type I [[22,0,8]] code, all with 4-circulant generator matrices.

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.