Information on Result #1474914
Linear OOA(12849, 389, F128, 2, 30) (dual of [(389, 2), 729, 31]-NRT-code), using construction X applied to AG(2;F,739P) ⊂ AG(2;F,744P) based on
- linear OOA(12845, 385, F128, 2, 30) (dual of [(385, 2), 725, 31]-NRT-code), using algebraic-geometric NRT-code AG(2;F,739P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386, using
- linear OOA(12840, 385, F128, 2, 25) (dual of [(385, 2), 730, 26]-NRT-code), using algebraic-geometric NRT-code AG(2;F,744P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386 (see above)
- linear OOA(1284, 4, F128, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1284, 128, F128, 2, 4) (dual of [(128, 2), 252, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;252,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1284, 128, F128, 2, 4) (dual of [(128, 2), 252, 5]-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(12849, 388, F128, 3, 30) (dual of [(388, 3), 1115, 31]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Linear OOA(12849, 388, F128, 4, 30) (dual of [(388, 4), 1503, 31]-NRT-code) | [i] | ||
| 3 | Digital (19, 49, 388)-net over F128 | [i] | ||