Elementary 2-group character codes

Elementary 2-group character codes

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...

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Bibliographic Details
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
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Institution: Nanyang Technological University
Language: English
Description
Summary: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 the weight distribution and prove that the minimum nonzero weight codewords give 1-designs.

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