Information on Result #1046957
Linear OOA(12864, 290, F128, 3, 51) (dual of [(290, 3), 806, 52]-NRT-code), using construction X applied to AG(3;F,809P) ⊂ AG(3;F,814P) 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(12855, 287, F128, 3, 46) (dual of [(287, 3), 806, 47]-NRT-code), using algebraic-geometric NRT-code AG(3;F,814P) [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(12864, 290, F128, 3, 50) (dual of [(290, 3), 806, 51]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(6475, 290, S64, 3, 51) | [i] | Discarding Parts of the Base for OOAs | |