| Author(s): |
Dutra, Flaviana S.
;
Ferraz, Raul A.
;
Polcino Milies, C.
Total Authors: 3
|
| Document type: | Journal article |
| Source: | ALGEBRA & DISCRETE MATHEMATICS; v. N/A, n. 3, p. 21-pg., 2009-01-01. |
| Abstract | |
We consider codes that are given as two-sided ideals in a semisimple finite group algebra F (q) G defined by idempotents constructed from subgroups of G in a natural way and compute their dimensions and weights. We give a criterion to decide when these ideals are all the minimal two-sided ideals of F q G in the case when G is a dihedral group and extend these results also to a family of quaternion group codes. In the final section, we give a method of decoding; i.e., of finding and correcting eventual transmission errors. (AU) | |
| FAPESP's process: | 00/07291-0 - Group rings and related topics |
| Grantee: | Francisco Cesar Polcino Milies |
| Support Opportunities: | Research Projects - Thematic Grants |