Information on Result #668393
Linear OA(32103, 1152, F32, 37) (dual of [1152, 1049, 38]-code), using (u, u+v)-construction based on
- linear OA(3233, 128, F32, 18) (dual of [128, 95, 19]-code), using
- construction X applied to AG(F,100P) ⊂ AG(F,105P) [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(3224, 119, F32, 13) (dual of [119, 95, 14]-code), using algebraic-geometric code AG(F,105P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(324, 9, F32, 4) (dual of [9, 5, 5]-code or 9-arc in PG(3,32)), using
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- Reed–Solomon code RS(28,32) [i]
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- construction X applied to AG(F,100P) ⊂ AG(F,105P) [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.