Information on Result #937211
Linear OOA(8173, 377, F81, 2, 49) (dual of [(377, 2), 681, 50]-NRT-code), using construction X applied to AG(2;F,688P) ⊂ AG(2;F,697P) 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(8156, 369, F81, 2, 40) (dual of [(369, 2), 682, 41]-NRT-code), using algebraic-geometric NRT-code AG(2;F,697P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(818, 8, F81, 2, 8) (dual of [(8, 2), 8, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(818, 81, F81, 2, 8) (dual of [(81, 2), 154, 9]-NRT-code), using
- Reed–Solomon NRT-code RS(2;154,81) [i]
- discarding factors / shortening the dual code based on linear OOA(818, 81, F81, 2, 8) (dual of [(81, 2), 154, 9]-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(9146, 754, F9, 2, 49) (dual of [(754, 2), 1362, 50]-NRT-code) | [i] | Trace Code for OOAs | |