Information on Result #650037
Linear OA(329, 46, F32, 7) (dual of [46, 37, 8]-code), using construction X applied to AG(F,35P) ⊂ AG(F,37P) based on
- linear OA(328, 43, F32, 7) (dual of [43, 35, 8]-code), using algebraic-geometric code AG(F,35P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(326, 43, F32, 5) (dual of [43, 37, 6]-code), using algebraic-geometric code AG(F,37P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44 (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(3238, 1071, F32, 15) (dual of [1071, 1033, 16]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3252, 32815, F32, 15) (dual of [32815, 32763, 16]-code) | [i] | ||
| 3 | Linear OA(3266, 1048623, F32, 15) (dual of [1048623, 1048557, 16]-code) | [i] | ||
| 4 | Linear OA(3236, 1070, F32, 14) (dual of [1070, 1034, 15]-code) | [i] | ||
| 5 | Linear OA(3249, 32814, F32, 14) (dual of [32814, 32765, 15]-code) | [i] | ||
| 6 | Linear OA(3262, 1048622, F32, 14) (dual of [1048622, 1048560, 15]-code) | [i] | ||
| 7 | Linear OA(3238, 1073, F32, 15) (dual of [1073, 1035, 16]-code) | [i] | ||
| 8 | Linear OA(3252, 32817, F32, 15) (dual of [32817, 32765, 16]-code) | [i] | ||
| 9 | Linear OA(3266, 1048626, F32, 15) (dual of [1048626, 1048560, 16]-code) | [i] | ||
| 10 | Linear OA(3236, 1073, F32, 14) (dual of [1073, 1037, 15]-code) | [i] | ||
| 11 | Linear OA(3249, 32817, F32, 14) (dual of [32817, 32768, 15]-code) | [i] | ||
| 12 | Linear OA(3262, 1048626, F32, 14) (dual of [1048626, 1048564, 15]-code) | [i] | ||