Information on Result #1810066
Digital (54, 106, 887)-net over F32, using embedding of OOA with Gilbert–Varšamov bound based on linear OA(32106, 887, F32, 52) (dual of [887, 781, 53]-code), using
- discarding factors / shortening the dual code based on linear OA(32106, 1044, F32, 52) (dual of [1044, 938, 53]-code), using
- construction X applied to Ce(51) ⊂ Ce(44) [i] based on
- linear OA(32100, 1024, F32, 52) (dual of [1024, 924, 53]-code), using an extension Ce(51) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(3286, 1024, F32, 45) (dual of [1024, 938, 46]-code), using an extension Ce(44) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,44], and designed minimum distance d ≥ |I|+1 = 45 [i]
- linear OA(326, 20, F32, 6) (dual of [20, 14, 7]-code or 20-arc in PG(5,32)), using
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- Reed–Solomon code RS(26,32) [i]
- discarding factors / shortening the dual code based on linear OA(326, 32, F32, 6) (dual of [32, 26, 7]-code or 32-arc in PG(5,32)), using
- construction X applied to Ce(51) ⊂ Ce(44) [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.