Information on Result #1577840
Linear OOA(12860, 388, F128, 3, 41) (dual of [(388, 3), 1104, 42]-NRT-code), using construction X applied to AG(3;F,1113P) ⊂ AG(3;F,1118P) based on
- linear OOA(12856, 385, F128, 3, 41) (dual of [(385, 3), 1099, 42]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1113P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386, using
- linear OOA(12851, 385, F128, 3, 36) (dual of [(385, 3), 1104, 37]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1118P) [i] based on function field F/F128 with g(F) = 15 and N(F) ≥ 386 (see above)
- linear OOA(1284, 3, F128, 3, 4) (dual of [(3, 3), 5, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1284, 128, F128, 3, 4) (dual of [(128, 3), 380, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(3;380,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1284, 128, F128, 3, 4) (dual of [(128, 3), 380, 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(12860, 388, F128, 3, 40) (dual of [(388, 3), 1104, 41]-NRT-code) | [i] | Strength Reduction for OOAs | |