Information on Result #1295965
Linear OA(12848, 394, F128, 29) (dual of [394, 346, 30]-code), using construction X applied to AG(F,355P) ⊂ AG(F,360P) based on
- linear OA(12844, 385, F128, 29) (dual of [385, 341, 30]-code), using algebraic-geometric code AG(F,355P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386, using
- linear OA(12839, 385, F128, 24) (dual of [385, 346, 25]-code), using algebraic-geometric code AG(F,360P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386 (see above)
- linear OA(1284, 9, F128, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,128)), using
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
- Reed–Solomon code RS(124,128) [i]
- discarding factors / shortening the dual code based on linear OA(1284, 128, F128, 4) (dual of [128, 124, 5]-code or 128-arc in PG(3,128)), using
Mode: Linear.
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
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(12848, 389, F128, 2, 29) (dual of [(389, 2), 730, 30]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(12848, 389, F128, 3, 29) (dual of [(389, 3), 1119, 30]-NRT-code) | [i] | ||
| 3 | Linear OOA(12848, 389, F128, 4, 29) (dual of [(389, 4), 1508, 30]-NRT-code) | [i] | ||
| 4 | Digital (19, 48, 389)-net over F128 | [i] | ||