Information on Result #1046710
Linear OOA(8171, 373, F81, 3, 49) (dual of [(373, 3), 1048, 50]-NRT-code), using construction X applied to AG(3;F,1057P) ⊂ AG(3;F,1064P) based on
- linear OOA(8165, 369, F81, 3, 49) (dual of [(369, 3), 1042, 50]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1057P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8158, 369, F81, 3, 42) (dual of [(369, 3), 1049, 43]-NRT-code), using algebraic-geometric NRT-code AG(3;F,1064P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(816, 4, F81, 3, 6) (dual of [(4, 3), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 3, 6) (dual of [(81, 3), 237, 7]-NRT-code), using
- Reed–Solomon NRT-code RS(3;237,81) [i]
- discarding factors / shortening the dual code based on linear OOA(816, 81, F81, 3, 6) (dual of [(81, 3), 237, 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, 746, F9, 3, 49) (dual of [(746, 3), 2096, 50]-NRT-code) | [i] | Trace Code for OOAs | |