Information on Result #650017
Linear OA(3219, 46, F32, 17) (dual of [46, 27, 18]-code), using construction X applied to AG(F,25P) ⊂ AG(F,27P) based on
- linear OA(3218, 43, F32, 17) (dual of [43, 25, 18]-code), using algebraic-geometric code AG(F,25P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(3216, 43, F32, 15) (dual of [43, 27, 16]-code), using algebraic-geometric code AG(F,27P) [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(3285, 1070, F32, 35) (dual of [1070, 985, 36]-code) | [i] | (u, u+v)-Construction | |
| 2 | Linear OA(3283, 1071, F32, 34) (dual of [1071, 988, 35]-code) | [i] | ||
| 3 | Linear OA(2141, 276, F2, 35) (dual of [276, 135, 36]-code) | [i] | Concatenation of Two Codes | |
| 4 | Linear OA(3297, 1114, F32, 35) (dual of [1114, 1017, 36]-code) | [i] | (u, u−v, u+v+w)-Construction | |
| 5 | Linear OA(3298, 1116, F32, 35) (dual of [1116, 1018, 36]-code) | [i] | ||
| 6 | Linear OA(3295, 1115, F32, 34) (dual of [1115, 1020, 35]-code) | [i] | ||