Name
Abstract | ||
|---|---|---|
We investigate perfect codes in Zn in the ℓp metric. Upper bounds for the packing radius r of a linear perfect code, in terms of the metric parameter p and the dimension n are derived. For p=2 and n=2,3, we determine all radii for which there exist linear perfect codes. The non-existence results for codes in Zn presented here imply non-existence results for codes over finite alphabets Zq, when the alphabet size is large enough, and have implications on some recent constructions of spherical codes. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1016/j.ejc.2015.11.002 | European Journal of Combinatorics |
Field | DocType | Volume |
Discrete mathematics,Hamming code,Combinatorics,Perfect power,Expander code,Radius,Linear code,Hamming bound,Mathematics,Alphabet | Journal | 53 |
Issue | ISSN | Citations |
C | 0195-6698 | 0 |
PageRank | References | Authors |
0.34 | 5 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Antonio Campello | 1 | 3 | 6.92 |
| Grasiele C. Jorge | 2 | 2 | 1.42 |
| joao e strapasson | 3 | 3 | 2.11 |
| Sueli I. R. Costa | 4 | 21 | 8.66 |