Information on Result #657266
Linear OA(4949, 50, F49, 49) (dual of [50, 1, 50]-code or 50-arc in PG(48,49)), using algebraic-geometric code AG(F,0P) with degPÂ =Â 2 based on function field F/F49 with g(F) = 0 and N(F) ≥ 50, using the rational function field F49(x) [i]
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
- Repetition Code [i]
- Codes by De Boer and Brouwer (hidden) [i]
- Expurgated Narrow-Sense BCH-Codes (BCH-Bound) (hidden) [i]
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(4952, 57, F49, 49) (dual of [57, 5, 50]-code) | [i] | ✔ | Construction X with Algebraic-Geometric Codes |
| 2 | Linear OA(4954, 61, F49, 49) (dual of [61, 7, 50]-code) | [i] | ✔ | |
| 3 | Linear OA(4951, 55, F49, 49) (dual of [55, 4, 50]-code) | [i] | ✔ | |
| 4 | Linear OA(4953, 59, F49, 49) (dual of [59, 6, 50]-code) | [i] | ✔ | |
| 5 | Linear OA(4955, 63, F49, 49) (dual of [63, 8, 50]-code) | [i] | ✔ | |