Information on Result #940782
Linear OOA(994, 746, F9, 2, 27) (dual of [(746, 2), 1398, 28]-NRT-code), using trace code based on linear OOA(8147, 373, F81, 2, 27) (dual of [(373, 2), 699, 28]-NRT-code), using
- construction X applied to AG(2;F,710P) ⊂ AG(2;F,715P) [i] based on
- linear OOA(8143, 369, F81, 2, 27) (dual of [(369, 2), 695, 28]-NRT-code), using algebraic-geometric NRT-code AG(2;F,710P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370, using
- linear OOA(8138, 369, F81, 2, 22) (dual of [(369, 2), 700, 23]-NRT-code), using algebraic-geometric NRT-code AG(2;F,715P) [i] based on function field F/F81 with g(F) = 16 and N(F) ≥ 370 (see above)
- linear OOA(814, 4, F81, 2, 4) (dual of [(4, 2), 4, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 2, 4) (dual of [(81, 2), 158, 5]-NRT-code), using
- Reed–Solomon NRT-code RS(2;158,81) [i]
- discarding factors / shortening the dual code based on linear OOA(814, 81, F81, 2, 4) (dual of [(81, 2), 158, 5]-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(994, 373, F9, 3, 27) (dual of [(373, 3), 1025, 28]-NRT-code) | [i] | OOA Folding | |