Information on Result #656069
Linear OA(1289, 152, F128, 7) (dual of [152, 143, 8]-code), using construction X applied to AG(F,141P) ⊂ AG(F,143P) based on
- linear OA(1288, 149, F128, 7) (dual of [149, 141, 8]-code), using algebraic-geometric code AG(F,141P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(1286, 149, F128, 5) (dual of [149, 143, 6]-code), using algebraic-geometric code AG(F,143P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150 (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 | Linear OA(12838, 16537, F128, 15) (dual of [16537, 16499, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(12852, 2097305, F128, 15) (dual of [2097305, 2097253, 16]-code) | [i] | ||
| 3 | Linear OA(12836, 16536, F128, 14) (dual of [16536, 16500, 15]-code) | [i] | ||
| 4 | Linear OA(12849, 2097304, F128, 14) (dual of [2097304, 2097255, 15]-code) | [i] | ||
| 5 | Linear OA(12838, 16538, F128, 15) (dual of [16538, 16500, 16]-code) | [i] | ||
| 6 | Linear OA(12852, 2097307, F128, 15) (dual of [2097307, 2097255, 16]-code) | [i] | ||
| 7 | Linear OA(12836, 16538, F128, 14) (dual of [16538, 16502, 15]-code) | [i] | ||
| 8 | Linear OA(12849, 2097307, F128, 14) (dual of [2097307, 2097258, 15]-code) | [i] | ||