Information on Result #651698
Linear OA(3272, 126, F32, 58) (dual of [126, 54, 59]-code), using construction X applied to AG(F,60P) ⊂ AG(F,64P) based on
- linear OA(3269, 119, F32, 58) (dual of [119, 50, 59]-code), using algebraic-geometric code AG(F,60P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3265, 119, F32, 54) (dual of [119, 54, 55]-code), using algebraic-geometric code AG(F,64P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(323, 7, F32, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,32) or 7-cap in PG(2,32)), using
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- Reed–Solomon code RS(29,32) [i]
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), 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 | OA(1690, 126, S16, 58) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(3272, 63, F32, 2, 58) (dual of [(63, 2), 54, 59]-NRT-code) | [i] | OOA Folding | |