Type II codes over F2m + uF2m
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...
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sg-ntu-dr.10356-963002023-02-28T19:39:27Z Type II codes over F2m + uF2m Nemenzo, Fidel R. Betsumiya, Koichi Ling, San School of Physical and Mathematical Sciences DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory 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. Accepted version 2013-04-18T08:35:08Z 2019-12-06T19:28:27Z 2013-04-18T08:35:08Z 2019-12-06T19:28:27Z 2003 2003 Journal Article Betsumiya, K., Ling, S., & Nemenzo, F. R. (2004). Type II codes over F2m + uF2m. Discrete Mathematics, 275(1-3), 43-65. 0012365X https://hdl.handle.net/10356/96300 http://hdl.handle.net/10220/9838 10.1016/S0012-365X(03)00097-9 en Discrete mathematics © 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]. application/pdf |
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DRNTU::Engineering::Computer science and engineering::Data::Coding and information theory Nemenzo, Fidel R. Betsumiya, Koichi Ling, San Type II codes over F2m + uF2m |
| description |
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. |
| author2 |
School of Physical and Mathematical Sciences |
| author_facet |
School of Physical and Mathematical Sciences Nemenzo, Fidel R. Betsumiya, Koichi Ling, San |
| format |
Article |
| author |
Nemenzo, Fidel R. Betsumiya, Koichi Ling, San |
| author_sort |
Nemenzo, Fidel R. |
| title |
Type II codes over F2m + uF2m |
| title_short |
Type II codes over F2m + uF2m |
| title_full |
Type II codes over F2m + uF2m |
| title_fullStr |
Type II codes over F2m + uF2m |
| title_full_unstemmed |
Type II codes over F2m + uF2m |
| title_sort |
type ii codes over f2m + uf2m |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/96300 http://hdl.handle.net/10220/9838 |
| _version_ |
1759857568678674432 |