Information on Result #651817
Linear OA(3233, 128, F32, 18) (dual of [128, 95, 19]-code), using construction X applied to AG(F,100P) ⊂ AG(F,105P) based on
- linear OA(3229, 119, F32, 18) (dual of [119, 90, 19]-code), using algebraic-geometric code AG(F,100P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3224, 119, F32, 13) (dual of [119, 95, 14]-code), using algebraic-geometric code AG(F,105P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(324, 9, F32, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,32)), using
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- Reed–Solomon code RS(28,32) [i]
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), 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(32103, 1152, F32, 37) (dual of [1152, 1049, 38]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32101, 1153, F32, 36) (dual of [1153, 1052, 37]-code) | [i] | ||
| 3 | Linear OA(32103, 1155, F32, 37) (dual of [1155, 1052, 38]-code) | [i] | ||
| 4 | Linear OA(32101, 1155, F32, 36) (dual of [1155, 1054, 37]-code) | [i] | ||
| 5 | Linear OOA(3233, 64, F32, 2, 18) (dual of [(64, 2), 95, 19]-NRT-code) | [i] | OOA Folding | |