Information on Result #651656
Linear OA(3232, 124, F32, 19) (dual of [124, 92, 20]-code), using construction X applied to AG(F,99P) ⊂ AG(F,102P) based on
- linear OA(3230, 119, F32, 19) (dual of [119, 89, 20]-code), using algebraic-geometric code AG(F,99P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3227, 119, F32, 16) (dual of [119, 92, 17]-code), using algebraic-geometric code AG(F,102P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(322, 5, F32, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), 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 OA(32106, 1148, F32, 39) (dual of [1148, 1042, 40]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32104, 1149, F32, 38) (dual of [1149, 1045, 39]-code) | [i] | ||
| 3 | Linear OA(32106, 1151, F32, 39) (dual of [1151, 1045, 40]-code) | [i] | ||
| 4 | Linear OA(32107, 1154, F32, 39) (dual of [1154, 1047, 40]-code) | [i] | ||
| 5 | Linear OA(32108, 1157, F32, 39) (dual of [1157, 1049, 40]-code) | [i] | ||
| 6 | Linear OA(32104, 1151, F32, 38) (dual of [1151, 1047, 39]-code) | [i] | ||
| 7 | Linear OA(32105, 1154, F32, 38) (dual of [1154, 1049, 39]-code) | [i] | ||
| 8 | Linear OA(32106, 1157, F32, 38) (dual of [1157, 1051, 39]-code) | [i] | ||
| 9 | Linear OOA(3232, 62, F32, 2, 19) (dual of [(62, 2), 92, 20]-NRT-code) | [i] | OOA Folding | |