Information on Result #656049
Linear OA(12819, 152, F128, 17) (dual of [152, 133, 18]-code), using construction X applied to AG(F,131P) ⊂ AG(F,133P) based on
- linear OA(12818, 149, F128, 17) (dual of [149, 131, 18]-code), using algebraic-geometric code AG(F,131P) [i] based on function field F/F128 with g(F) = 1 and N(F) ≥ 150, using
- linear OA(12816, 149, F128, 15) (dual of [149, 133, 16]-code), using algebraic-geometric code AG(F,133P) [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 | OA(3227, 152, S32, 17) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(12857, 344, F128, 35) (dual of [344, 287, 36]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(12863, 440, F128, 35) (dual of [440, 377, 36]-code) | [i] | ||
| 4 | Linear OA(12862, 440, F128, 34) (dual of [440, 378, 35]-code) | [i] | ||
| 5 | OA(12859, 409, S128, 35) | [i] | ||
| 6 | OA(12858, 409, S128, 34) | [i] | ||