Information on Result #668925
Linear OA(3262, 1048622, F32, 14) (dual of [1048622, 1048560, 15]-code), using (u, u+v)-construction based on
- linear OA(329, 46, F32, 7) (dual of [46, 37, 8]-code), using
- construction X applied to AG(F,35P) ⊂ AG(F,37P) [i] based on
- linear OA(328, 43, F32, 7) (dual of [43, 35, 8]-code), using algebraic-geometric code AG(F,35P) [i] based on function field F/F32 with g(F) = 1 and N(F) ≥ 44, using
- linear OA(326, 43, F32, 5) (dual of [43, 37, 6]-code), using algebraic-geometric code AG(F,37P) [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
- construction X applied to AG(F,35P) ⊂ AG(F,37P) [i] based on
- linear OA(3253, 1048576, F32, 14) (dual of [1048576, 1048523, 15]-code), using
- an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1048575 = 324−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [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.