Information on Result #650009
Linear OA(3223, 46, F32, 21) (dual of [46, 23, 22]-code), using construction X applied to AG(F,21P) ⊂ AG(F,23P) based on
- linear OA(3222, 43, F32, 21) (dual of [43, 21, 22]-code), using algebraic-geometric code AG(F,21P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3220, 43, F32, 19) (dual of [43, 23, 20]-code), using algebraic-geometric code AG(F,23P) [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(32105, 1070, F32, 43) (dual of [1070, 965, 44]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32103, 1071, F32, 42) (dual of [1071, 968, 43]-code) | [i] | ||