Information on Result #1808224
Digital (17, 33, 531)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(3233, 531, F32, 16) (dual of [531, 498, 17]-code), using
- discarding factors / shortening the dual code based on linear OA(3233, 1032, F32, 16) (dual of [1032, 999, 17]-code), using
- construction X applied to Ce(15) ⊂ Ce(12) [i] based on
- linear OA(3231, 1024, F32, 16) (dual of [1024, 993, 17]-code), using an extension Ce(15) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(3225, 1024, F32, 13) (dual of [1024, 999, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(322, 8, F32, 2) (dual of [8, 6, 3]-code or 8-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 Ce(15) ⊂ Ce(12) [i] based on
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.