Name
Abstract | ||
|---|---|---|
The theory of group codes has been shown to be a useful starting point for the construction of good geometrically uniform codes. In this paper we study the problem of building multilevel group codes, i.e., codes obtained combining separate coding at different levels in such a way that the resulting code is a group code. A construction leading to multilevel group codes for semi-direct and direct products is illustrated. The codes that can be obtained in this way are identified. New geometrically uniform Euclidean-space codes obtained from multilevel codes over abelian and nonabelian groups are presented |
Year | DOI | Venue |
|---|---|---|
1995 | 10.1109/18.412674 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
multilevel construction,new geometrically uniform euclidean-space,group code,different level,direct product,separate coding,trellis group code,multilevel code,nonabelian group,multilevel group code,resulting code,good geometrically uniform code,block codes,additives,abelian groups,error probability,phase shift keying,euclidean space,indexing terms,group codes,information theory,euclidean distance,convolutional codes,decoding | Discrete mathematics,Concatenated error correction code,Combinatorics,Group code,Luby transform code,Computer science,Block code,Expander code,Raptor code,Linear code,Reed–Muller code | Journal |
Volume | Issue | ISSN |
41 | 5 | 0018-9448 |
Citations | PageRank | References |
12 | 2.19 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| R. Garello | 1 | 12 | 2.53 |
| S. Benedetto | 2 | 883 | 167.24 |