Information on Result #656406
Linear OA(12867, 222, F128, 59) (dual of [222, 155, 60]-code), using construction X applied to AG(F,155P) ⊂ AG(F,159P) based on
- linear OA(12864, 215, F128, 59) (dual of [215, 151, 60]-code), using algebraic-geometric code AG(F,155P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- linear OA(12860, 215, F128, 55) (dual of [215, 155, 56]-code), using algebraic-geometric code AG(F,159P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216 (see above)
- linear OA(1283, 7, F128, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,128) or 7-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), 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(3294, 222, S32, 59) | [i] | Discarding Parts of the Base for OAs | |