New Binary Codes From Rational Function Fields

• Main Authors: Jin, Lingfei, Xing, Chaoping
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2015
• Subjects: Binary constant-weight codes; Rational functions; Point at infinity; Multiplicative group; Binary codes
• Online Access: https://hdl.handle.net/10356/81336; http://hdl.handle.net/10220/39227
• Institution: Nanyang Technological University

In this paper, we present an algebraic construction of binary codes through rational function fields. We make use of certain multiplicative group of rational functions for our construction. In particular, the point at infinity can be employed in our construction to get codes of length up to q+1, whe...