Information on Result #651779
Linear OA(3271, 128, F32, 56) (dual of [128, 57, 57]-code), using construction X applied to AG(F,62P) ⊂ AG(F,67P) 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(3262, 119, F32, 51) (dual of [119, 57, 52]-code), using algebraic-geometric code AG(F,67P) [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 | OA(1689, 128, S16, 56) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OOA(3271, 64, F32, 2, 56) (dual of [(64, 2), 57, 57]-NRT-code) | [i] | OOA Folding | |