Information on Result #1047117
Linear OOA(12870, 294, F128, 3, 51) (dual of [(294, 3), 812, 52]-NRT-code), using construction X applied to AG(3;F,809P) ⊂ AG(3;F,820P) based on
- linear OOA(12860, 287, F128, 3, 51) (dual of [(287, 3), 801, 52]-NRT-code), using algebraic-geometric NRT-code AG(3;F,809P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12849, 287, F128, 3, 40) (dual of [(287, 3), 812, 41]-NRT-code), using algebraic-geometric NRT-code AG(3;F,820P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(12810, 7, F128, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12810, 128, F128, 3, 10) (dual of [(128, 3), 374, 11]-NRT-code), using
- Reed–Solomon NRT-code RS(3;374,128) [i]
- discarding factors / shortening the dual code based on linear OOA(12810, 128, F128, 3, 10) (dual of [(128, 3), 374, 11]-NRT-code), using
Mode: Constructive and 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(12870, 294, F128, 3, 50) (dual of [(294, 3), 812, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |