Abstract
The geometric structure of any relative one-weight code is determined, and by using this geometric structure, the support weight distribution of subcodes of any relative one-weight code is presented. An application of relative one-weight codes to the wire-tap channel of type II with multiple users is given, and certain kinds of relative one-weight codes all of whose nonzero codewords are minimal are determined.
| Original language | English |
|---|---|
| Pages (from-to) | 367-377 |
| Number of pages | 11 |
| Journal | Advances in Mathematics of Communications |
| Volume | 10 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - May 2016 |
Keywords
- Geometric structure
- Minimal codeword
- Relative one-weight
- Relative projective subspace
- Support weight distribution