Information on Result #937145
Linear OOA(8171, 375, F81, 2, 49) (dual of [(375, 2), 679, 50]-NRT-code), using construction X applied to AG(2;F,688P) ⊂ AG(2;F,695P) based on
- linear OOA(8165, 369, F81, 2, 49) (dual of [(369, 2), 673, 50]-NRT-code), using algebraic-geometric NRT-code AG(2;F,688P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8158, 369, F81, 2, 42) (dual of [(369, 2), 680, 43]-NRT-code), using algebraic-geometric NRT-code AG(2;F,695P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(816, 6, F81, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 2, 6) (dual of [(81, 2), 156, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(2;156,81) [i]
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 2, 6) (dual of [(81, 2), 156, 7]-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(9142, 750, F9, 2, 49) (dual of [(750, 2), 1358, 50]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | OOA(2795, 375, S27, 2, 49) | [i] | Discarding Parts of the Base for OOAs | |