Duadic codes over F2 + uF2
Date of Issue2001
School of Physical and Mathematical Sciences
Duadic codes over F2+uF2 are introduced as abelian codes by their zeros. This is the function field analogue of duadic codes over Z4 introduced recently by Langevin and Solé. They produce binary self-dual codes via a suitable Gray map. Their binary images are themselves abelian, thus generalizing a result of van Lint for cyclic binary codes of even length. We classify them in modest lengths and exhibit interesting non-cyclic examples.
DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory
Applicable algebra in engineering, communication and computing
© 2001 Springer-Verlag. This is the author created version of a work that has been peer reviewed and accepted for publication by Applicable Algebra in Engineering, Communication and Computing, Springer-Verlag. It incorporates referee’s comments but changes resulting from the publishing process, such as copyediting, structural formatting, may not be reflected in this document. The published version is available at: [DOI: http://dx.doi.org/10.1007/s002000100079].