Type II codes over F2m + uF2m
Nemenzo, Fidel R.
Date of Issue2003
School of Physical and Mathematical Sciences
We look at the special class of self-dual codes called Type II codes over the alphabet Rm =F2m + uF2m where u2 = 0. Properties of the Gray maps which take self-dual codes over Rm to self-dual codes over the subrings F2m and Rr = F2r + uF2r for divisors r of m are studied. We give a mass formula for Type II codes over Rm and classify such codes of length n⩽8 for m=2,3,4,5,6 and 7.
DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory
© 2003 Elsevier B.V. This is the author created version of a work that has been peer reviewed and accepted for publication by Discrete Mathematics, Elsevier B.V. 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/10.1016/S0012-365X(03)00097-9].