Information on Result #1808811
Digital (32, 66, 498)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(3266, 498, F32, 2, 34) (dual of [(498, 2), 930, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3266, 514, F32, 2, 34) (dual of [(514, 2), 962, 35]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3266, 1028, F32, 34) (dual of [1028, 962, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(3266, 1029, F32, 34) (dual of [1029, 963, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(30) [i] based on
- linear OA(3264, 1024, F32, 34) (dual of [1024, 960, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(3261, 1024, F32, 31) (dual of [1024, 963, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- 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 Ce(33) ⊂ Ce(30) [i] based on
- discarding factors / shortening the dual code based on linear OA(3266, 1029, F32, 34) (dual of [1029, 963, 35]-code), using
- OOA 2-folding [i] based on linear OA(3266, 1028, F32, 34) (dual of [1028, 962, 35]-code), using
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.