Information on Result #1047157
Linear OOA(12872, 296, F128, 3, 50) (dual of [(296, 3), 816, 51]-NRT-code), using construction X applied to AG(3;F,810P) ⊂ AG(3;F,824P) based on
- linear OOA(12859, 287, F128, 3, 50) (dual of [(287, 3), 802, 51]-NRT-code), using algebraic-geometric NRT-code AG(3;F,810P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12845, 287, F128, 3, 36) (dual of [(287, 3), 816, 37]-NRT-code), using algebraic-geometric NRT-code AG(3;F,824P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(12813, 9, F128, 3, 13) (dual of [(9, 3), 14, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(12813, 128, F128, 3, 13) (dual of [(128, 3), 371, 14]-NRT-code), using
- Reed–Solomon NRT-code RS(3;371,128) [i]
- discarding factors / shortening the dual code based on linear OOA(12813, 128, F128, 3, 13) (dual of [(128, 3), 371, 14]-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(12872, 296, F128, 3, 49) (dual of [(296, 3), 816, 50]-NRT-code) | [i] | Strength Reduction for OOAs | |