Information on Result #656299
Linear OA(12834, 218, F128, 28) (dual of [218, 184, 29]-code), using construction X applied to AG(F,186P) ⊂ AG(F,188P) based on
- linear OA(12833, 215, F128, 28) (dual of [215, 182, 29]-code), using algebraic-geometric code AG(F,186P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- linear OA(12831, 215, F128, 26) (dual of [215, 184, 27]-code), using algebraic-geometric code AG(F,188P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216 (see above)
- linear OA(1281, 3, F128, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(1281, s, F128, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, 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(3248, 218, S32, 28) | [i] | Discarding Parts of the Base for OAs | |
| 2 | OA(6440, 218, S64, 28) | [i] | ||