Information on Result #668391
Linear OA(32101, 1148, F32, 37) (dual of [1148, 1047, 38]-code), using (u, u+v)-construction based on
- linear OA(3231, 124, F32, 18) (dual of [124, 93, 19]-code), using
- construction X applied to AG(F,100P) ⊂ AG(F,103P) [i] based on
- linear OA(3229, 119, F32, 18) (dual of [119, 90, 19]-code), using algebraic-geometric code AG(F,100P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3226, 119, F32, 15) (dual of [119, 93, 16]-code), using algebraic-geometric code AG(F,103P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(322, 5, F32, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- construction X applied to AG(F,100P) ⊂ AG(F,103P) [i] based on
- linear OA(3270, 1024, F32, 37) (dual of [1024, 954, 38]-code), using
- an extension Ce(36) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,36], and designed minimum distance d ≥ |I|+1 = 37 [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.