Information on Result #925208
Linear OOA(947, 42, F9, 2, 36) (dual of [(42, 2), 37, 37]-NRT-code), using construction X applied to AG(2;F,41P) ⊂ AG(2;F,45P) based on
- linear OOA(944, 39, F9, 2, 36) (dual of [(39, 2), 34, 37]-NRT-code), using algebraic-geometric NRT-code AG(2;F,41P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40, using
- linear OOA(940, 39, F9, 2, 32) (dual of [(39, 2), 38, 33]-NRT-code), using algebraic-geometric NRT-code AG(2;F,45P) [i] based on function field F/F9 with g(F) = 8 and N(F) ≥ 40 (see above)
- linear OOA(93, 3, F9, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(93, 9, F9, 2, 3) (dual of [(9, 2), 15, 4]-NRT-code), using
- Reed–Solomon NRT-code RS(2;15,9) [i]
- discarding factors / shortening the dual code based on linear OOA(93, 9, F9, 2, 3) (dual of [(9, 2), 15, 4]-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(394, 84, F3, 2, 36) (dual of [(84, 2), 74, 37]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(9150, 105, F9, 2, 90) (dual of [(105, 2), 60, 91]-NRT-code) | [i] | Construction X with Algebraic-Geometric NRT-Codes | |
| 3 | Linear OOA(9149, 105, F9, 2, 89) (dual of [(105, 2), 61, 90]-NRT-code) | [i] | ||
| 4 | Linear OOA(9148, 105, F9, 2, 88) (dual of [(105, 2), 62, 89]-NRT-code) | [i] | ||
| 5 | Linear OOA(9147, 105, F9, 2, 87) (dual of [(105, 2), 63, 88]-NRT-code) | [i] | ||
| 6 | Linear OOA(9146, 105, F9, 2, 86) (dual of [(105, 2), 64, 87]-NRT-code) | [i] | ||
| 7 | Linear OOA(9145, 105, F9, 2, 85) (dual of [(105, 2), 65, 86]-NRT-code) | [i] | ||
| 8 | Linear OOA(9144, 105, F9, 2, 84) (dual of [(105, 2), 66, 85]-NRT-code) | [i] | ||
| 9 | Linear OOA(9143, 105, F9, 2, 83) (dual of [(105, 2), 67, 84]-NRT-code) | [i] | ||
| 10 | Linear OOA(9142, 105, F9, 2, 82) (dual of [(105, 2), 68, 83]-NRT-code) | [i] | ||
| 11 | Linear OOA(9141, 105, F9, 2, 81) (dual of [(105, 2), 69, 82]-NRT-code) | [i] | ||
| 12 | Linear OOA(9140, 105, F9, 2, 80) (dual of [(105, 2), 70, 81]-NRT-code) | [i] | ||
| 13 | Linear OOA(9139, 105, F9, 2, 79) (dual of [(105, 2), 71, 80]-NRT-code) | [i] | ||
| 14 | Linear OOA(9138, 105, F9, 2, 78) (dual of [(105, 2), 72, 79]-NRT-code) | [i] | ||