Information on Result #650131
Linear OA(3216, 66, F32, 12) (dual of [66, 50, 13]-code), using construction X applied to AG(F,50P) ⊂ AG(F,52P) based on
- linear OA(3215, 63, F32, 12) (dual of [63, 48, 13]-code), using algebraic-geometric code AG(F,50P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3213, 63, F32, 10) (dual of [63, 50, 11]-code), using algebraic-geometric code AG(F,52P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64 (see above)
- linear OA(321, 3, F32, 1) (dual of [3, 2, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 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(3246, 142, F32, 25) (dual of [142, 96, 26]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3265, 1091, F32, 25) (dual of [1091, 1026, 26]-code) | [i] | ||
| 3 | Linear OA(3289, 32835, F32, 25) (dual of [32835, 32746, 26]-code) | [i] | ||
| 4 | Linear OA(3263, 1090, F32, 24) (dual of [1090, 1027, 25]-code) | [i] | ||
| 5 | Linear OA(3286, 32834, F32, 24) (dual of [32834, 32748, 25]-code) | [i] | ||
| 6 | Linear OA(32109, 1048642, F32, 24) (dual of [1048642, 1048533, 25]-code) | [i] | ||
| 7 | Linear OA(3265, 1093, F32, 25) (dual of [1093, 1028, 26]-code) | [i] | ||
| 8 | Linear OA(3289, 32837, F32, 25) (dual of [32837, 32748, 26]-code) | [i] | ||
| 9 | Linear OA(3263, 1093, F32, 24) (dual of [1093, 1030, 25]-code) | [i] | ||
| 10 | Linear OA(3286, 32837, F32, 24) (dual of [32837, 32751, 25]-code) | [i] | ||
| 11 | Linear OA(32109, 1048646, F32, 24) (dual of [1048646, 1048537, 25]-code) | [i] | ||