Information on Result #1577885
Linear OOA(12855, 389, F128, 3, 34) (dual of [(389, 3), 1112, 35]-NRT-code), using construction X applied to AG(3;F,1120P) ⊂ AG(3;F,1127P) based on
- linear OOA(12849, 385, F128, 3, 34) (dual of [(385, 3), 1106, 35]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1120P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386, using
- linear OOA(12842, 385, F128, 3, 27) (dual of [(385, 3), 1113, 28]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1127P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386 (see above)
- linear OOA(1286, 4, F128, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1286, 128, F128, 3, 6) (dual of [(128, 3), 378, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;378,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1286, 128, F128, 3, 6) (dual of [(128, 3), 378, 7]-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(12855, 389, F128, 4, 34) (dual of [(389, 4), 1501, 35]-NRT-code) | [i] | Embedding of OOA with Gilbert–Varšamov Bound | |
| 2 | Digital (21, 55, 389)-net over F128 | [i] | ||