Information on Result #668669
Linear OA(32109, 1048642, F32, 24) (dual of [1048642, 1048533, 25]-code), using (u, u+v)-construction based on
- linear OA(3216, 66, F32, 12) (dual of [66, 50, 13]-code), using
- construction X applied to AG(F,50P) ⊂ AG(F,52P) [i] based on
- linear OA(3215, 63, F32, 12) (dual of [63, 48, 13]-code), using algebraic-geometric code AG(F,50P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3213, 63, F32, 10) (dual of [63, 50, 11]-code), using algebraic-geometric code AG(F,52P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64 (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
- construction X applied to AG(F,50P) ⊂ AG(F,52P) [i] based on
- linear OA(3293, 1048576, F32, 24) (dual of [1048576, 1048483, 25]-code), using
- an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
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
None.