Information on Result #1475033
Linear OOA(12868, 515, F128, 2, 41) (dual of [(515, 2), 962, 42]-NRT-code), using construction X applied to AG(2;F,982P) ⊂ AG(2;F,986P) based on
- linear OOA(12865, 512, F128, 2, 41) (dual of [(512, 2), 959, 42]-NRT-code), using algebraic-geometric NRT-code AG(2;F,982P) [i] based on function field F/F128 with g(F) = 24 and N(F) ≥ 513, using
- linear OOA(12861, 512, F128, 2, 37) (dual of [(512, 2), 963, 38]-NRT-code), using algebraic-geometric NRT-code AG(2;F,986P) [i] based on function field F/F128 with g(F) = 24 and N(F) ≥ 513 (see above)
- linear OOA(1283, 3, F128, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1283, 128, F128, 2, 3) (dual of [(128, 2), 253, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;253,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1283, 128, F128, 2, 3) (dual of [(128, 2), 253, 4]-NRT-code), 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(12868, 515, F128, 3, 41) (dual of [(515, 3), 1477, 42]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(12868, 515, F128, 4, 41) (dual of [(515, 4), 1992, 42]-NRT-code) | [i] | ||
| 3 | Digital (27, 68, 515)-net over F128 | [i] | ||