Name
Title | ||
|---|---|---|
Non-Existence of Linear Perfect Lee Codes With Radius 2 for Infinitely Many Dimensions. |
Abstract | ||
|---|---|---|
The Golomb-Welch conjecture (1968) on the non-existence of perfect Lee codes in Zn with radius e ≥ 2 and dimensions n ≥ 3, widely believed to be true, has been up to now only proved for large radius in any dimension, for small dimensions, and for some small radii and specific n. The main result of this paper is that for radius e = 2, there are no perfect Lee linear codes in Zn for infinitely many ... |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1109/TIT.2018.2797049 | IEEE Transactions on Information Theory |
Keywords | Field | DocType |
Zinc,Measurement,Linear codes,Lattices,Error correction codes,Phase shift keying | Discrete mathematics,Combinatorics,Lattice (order),Computer science,Radius,Conjecture | Journal |
Volume | Issue | ISSN |
64 | 4 | 0018-9448 |
Citations | PageRank | References |
0 | 0.34 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Claudio Qureshi | 1 | 10 | 4.48 |
| Antonio Campello | 2 | 3 | 6.92 |
| Sueli I. R. Costa | 3 | 21 | 8.66 |