Elementary 2-group character codes

• Main Authors: Kohel, David R., Ding, Cunsheng, Ling, San
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Subjects: DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory
• Online Access: https://hdl.handle.net/10356/96092; http://hdl.handle.net/10220/9819
• Institution: Nanyang Technological University

In this correspondance we describe a class of codes over GF(q), where q is a power of an odd prime. These codes are analogs of the binary Reed-Muller codes and share several features in common with them. We determine the minimum weight and properties of these codes. For a subclass of codes we find t...