Type II codes over F2m+uF2m
| Autor: | San Ling, Koichi Betsumiya, Fidel Nemenzo |
|---|---|
| Přispěvatelé: | School of Physical and Mathematical Sciences |
| Rok vydání: | 2004 |
| Předmět: |
Discrete mathematics
Gray map Mass formula Type II codes Special class Classification Theoretical Computer Science Combinatorics Number theory Group code Self-dual codes Discrete Mathematics and Combinatorics Engineering::Computer science and engineering::Data::Coding and information theory [DRNTU] Alphabet Mathematics |
| Zdroj: | Discrete Mathematics. 275(1-3):43-65 |
| ISSN: | 0012-365X |
| DOI: | 10.1016/s0012-365x(03)00097-9 |
| Popis: | 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 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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