Information on Result #1047078
Linear OOA(12849, 292, F128, 3, 33) (dual of [(292, 3), 827, 34]-NRT-code), using construction X applied to AG(3;F,827P) ⊂ AG(3;F,835P) based on
- linear OOA(12842, 287, F128, 3, 33) (dual of [(287, 3), 819, 34]-NRT-code), using algebraic-geometric NRT-code AG(3;F,827P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288, using
- linear OOA(12834, 287, F128, 3, 25) (dual of [(287, 3), 827, 26]-NRT-code), using algebraic-geometric NRT-code AG(3;F,835P) [i] based on function field F/F128 with g(F) = 9 and N(F) ≥ 288 (see above)
- linear OOA(1287, 5, F128, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1287, 128, F128, 3, 7) (dual of [(128, 3), 377, 8]-NRT-code), using
- Reed–Solomon NRT-code RS(3;377,128) [i]
- discarding factors / shortening the dual code based on linear OOA(1287, 128, F128, 3, 7) (dual of [(128, 3), 377, 8]-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(12849, 292, F128, 3, 32) (dual of [(292, 3), 827, 33]-NRT-code) | [i] | Strength Reduction for OOAs | |
| 2 | OOA(6458, 292, S64, 3, 33) | [i] | Discarding Parts of the Base for OOAs | |