Cyclic codes over Z4 of even length
Dougherty, Steven T.
Date of Issue2006
School of Physical and Mathematical Sciences
We determine the structure of cyclic codes over Z 4 for arbitrary even length giving the generator polynomial for these codes. We determine the number of cyclic codes for a given length. We describe the duals of the cyclic codes, describe the form of cyclic codes that are self-dual and give the number of these codes. We end by examining specific cases of cyclic codes, giving all cyclic self-dual codes of length less than or equal to 14.
DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory
Designs, codes and cryptography
© 2006 Springer Science+Business Media, Inc. This is the author created version of a work that has been peer reviewed and accepted for publication by Designs, Codes and Cryptography, Springer Science+Business Media, Inc. 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: [http://dx.doi.org/10.1007/s10623-005-2773-x].