Information on Result #650235
Linear OA(3226, 78, F32, 20) (dual of [78, 52, 21]-code), using construction X applied to AG(F,54P) ⊂ AG(F,56P) based on
- linear OA(3225, 75, F32, 20) (dual of [75, 50, 21]-code), using algebraic-geometric code AG(F,54P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- linear OA(3223, 75, F32, 18) (dual of [75, 52, 19]-code), using algebraic-geometric code AG(F,56P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76 (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(32104, 1102, F32, 41) (dual of [1102, 998, 42]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32102, 1103, F32, 40) (dual of [1103, 1001, 41]-code) | [i] | ||
| 3 | Linear OA(32104, 1105, F32, 41) (dual of [1105, 1001, 42]-code) | [i] | ||
| 4 | Linear OA(32102, 1105, F32, 40) (dual of [1105, 1003, 41]-code) | [i] | ||
| 5 | Linear OOA(3226, 39, F32, 2, 20) (dual of [(39, 2), 52, 21]-NRT-code) | [i] | OOA Folding | |