Information on Result #1815861
OA(1685, 132, S16, 51), using discarding parts of the base based on linear OA(3268, 132, F32, 51) (dual of [132, 64, 52]-code), using
- construction X applied to AG(F,67P) ⊂ AG(F,74P) [i] based on
- 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, using
- linear OA(3255, 119, F32, 44) (dual of [119, 64, 45]-code), using algebraic-geometric code AG(F,74P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(326, 13, F32, 6) (dual of [13, 7, 7]-code or 13-arc in PG(5,32)), using
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- Reed–Solomon code RS(26,32) [i]
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
Mode: Constructive.
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(1686, 133, S16, 51) | [i] | Code Embedding in Larger Space | |