Information on Result #1046924
Linear OOA(12878, 290, F128, 3, 65) (dual of [(290, 3), 792, 66]-NRT-code), using construction X applied to AG(3;F,795P) ⊂ AG(3;F,800P) based on
- linear OOA(12874, 287, F128, 3, 65) (dual of [(287, 3), 787, 66]-NRT-code), using algebraic-geometric NRT-code AG(3;F,795P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12869, 287, F128, 3, 60) (dual of [(287, 3), 792, 61]-NRT-code), using algebraic-geometric NRT-code AG(3;F,800P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (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: 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(12878, 290, F128, 3, 64) (dual of [(290, 3), 792, 65]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(6491, 290, S64, 3, 65) | [i] | Discarding Parts of the Base for OOAs | |