Name
Abstract | ||
|---|---|---|
We propose reducible algebraic curves as a mechanism to construct partial maximum distance separable codes geometrically. We obtain new general existence results, new explicit constructions, and improved estimates on the smallest field sizes over which such codes can exist. Our results are obtained by combining ideas from projective algebraic geometry, combinatorics, and probability theory. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1137/20M1356658 | SIAM JOURNAL ON DISCRETE MATHEMATICS |
Keywords | DocType | Volume |
algebraic geometric codes, reducible curves, locally repairable codes, PMDS codes | Journal | 35 |
Issue | ISSN | Citations |
4 | 0895-4801 | 0 |
PageRank | References | Authors |
0.34 | 0 | 5 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tristram Bogart | 1 | 0 | 0.34 |
| Anna-Lena Horlemann-Trautmann | 2 | 31 | 5.96 |
| David A. Karpuk | 3 | 0 | 0.34 |
| Alessandro Neri | 4 | 14 | 6.10 |
| Mauricio Velasco | 5 | 0 | 0.34 |