Information on Result #925383
Linear OOA(984, 66, F9, 2, 68) (dual of [(66, 2), 48, 69]-NRT-code), using construction X applied to AG(2;F,57P) ⊂ AG(2;F,61P) based on
- linear OOA(981, 63, F9, 2, 68) (dual of [(63, 2), 45, 69]-NRT-code), using algebraic-geometric NRT-code AG(2;F,57P) [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64, using
- linear OOA(977, 63, F9, 2, 64) (dual of [(63, 2), 49, 65]-NRT-code), using algebraic-geometric NRT-code AG(2;F,61P) [i] based on function field F/F9 with g(F) = 13 and N(F) ≥ 64 (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(3168, 132, F3, 2, 68) (dual of [(132, 2), 96, 69]-NRT-code) | [i] | Trace Code for OOAs | |
| 2 | Linear OOA(9131, 130, F9, 2, 68) (dual of [(130, 2), 129, 69]-NRT-code) | [i] | (u, u+v)-Construction for OOAs | |