Information on Result #650007
Linear OA(3224, 46, F32, 22) (dual of [46, 22, 23]-code), using construction X applied to AG(F,20P) ⊂ AG(F,22P) based on
- linear OA(3223, 43, F32, 22) (dual of [43, 20, 23]-code), using algebraic-geometric code AG(F,20P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3221, 43, F32, 20) (dual of [43, 22, 21]-code), using algebraic-geometric code AG(F,22P) [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(32110, 1070, F32, 45) (dual of [1070, 960, 46]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(32108, 1071, F32, 44) (dual of [1071, 963, 45]-code) | [i] | ||
| 3 | Linear OA(2166, 276, F2, 45) (dual of [276, 110, 46]-code) | [i] | Concatenation of Two Codes | |