Abstract
In this correspondence, we present 129 new linear codes over F8 and F9 based on the construction by Xing and Niederreiter using algebraic function fields and places of small degrees. In addition, we construct some global function fields in which the number of rational places improves the lower bounds given by van der Geer and van der Vlugt.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
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.