Information on Result #656193
Linear OA(12819, 194, F128, 15) (dual of [194, 175, 16]-code), using construction X applied to AG(F,175P) ⊂ AG(F,177P) based on
- linear OA(12818, 191, F128, 15) (dual of [191, 173, 16]-code), using algebraic-geometric code AG(F,175P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192, using
- linear OA(12816, 191, F128, 13) (dual of [191, 175, 14]-code), using algebraic-geometric code AG(F,177P) [i] based on function field F/F128 with g(F) = 3 and N(F) ≥ 192 (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, 194, S32, 15) | [i] | Discarding Parts of the Base for OAs | |
| 2 | Linear OA(12854, 388, F128, 31) (dual of [388, 334, 32]-code) | [i] | (u, u+v)-Construction | |
| 3 | Linear OA(12855, 410, F128, 31) (dual of [410, 355, 32]-code) | [i] | ||
| 4 | Linear OA(12878, 16578, F128, 30) (dual of [16578, 16500, 31]-code) | [i] | ||
| 5 | Linear OA(12878, 16580, F128, 30) (dual of [16580, 16502, 31]-code) | [i] | ||