Information on Result #651856
Linear OA(3272, 130, F32, 56) (dual of [130, 58, 57]-code), using construction X applied to AG(F,62P) ⊂ AG(F,68P) based on
- linear OA(3267, 119, F32, 56) (dual of [119, 52, 57]-code), using algebraic-geometric code AG(F,62P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3261, 119, F32, 50) (dual of [119, 58, 51]-code), using algebraic-geometric code AG(F,68P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(325, 11, F32, 5) (dual of [11, 6, 6]-code or 11-arc in PG(4,32)), using
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
- Reed–Solomon code RS(27,32) [i]
- discarding factors / shortening the dual code based on linear OA(325, 32, F32, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), 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, 130, S16, 56) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(3272, 65, F32, 2, 56) (dual of [(65, 2), 58, 57]-NRT-code) | [i] | OOA Folding | |