Information on Result #656386
Linear OA(12827, 220, F128, 20) (dual of [220, 193, 21]-code), using construction X applied to AG(F,194P) ⊂ AG(F,197P) based on
- linear OA(12825, 215, F128, 20) (dual of [215, 190, 21]-code), using algebraic-geometric code AG(F,194P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- linear OA(12822, 215, F128, 17) (dual of [215, 193, 18]-code), using algebraic-geometric code AG(F,197P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216 (see above)
- linear OA(1282, 5, F128, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,128)), using
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), using
- Reed–Solomon code RS(126,128) [i]
- discarding factors / shortening the dual code based on linear OA(1282, 128, F128, 2) (dual of [128, 126, 3]-code or 128-arc in PG(1,128)), 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(6432, 220, S64, 20) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(12877, 508, F128, 41) (dual of [508, 431, 42]-code) | [i] | (u, u+v)-Construction | |