Information on Result #656325
Linear OA(12821, 218, F128, 15) (dual of [218, 197, 16]-code), using construction X applied to AG(F,199P) ⊂ AG(F,201P) based on
- linear OA(12820, 215, F128, 15) (dual of [215, 195, 16]-code), using algebraic-geometric code AG(F,199P) [i] based on function field F/F128 with g(F) = 5 and N(F) ≥ 216, using
- linear OA(12818, 215, F128, 13) (dual of [215, 197, 14]-code), using algebraic-geometric code AG(F,201P) [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(6425, 218, S64, 15) | [i] | Discarding Parts of the Base for OAs | |