Information on Result #1741600
Digital (46, 68, 4919)-net over F32, using net defined by OOA based on linear OOA(3268, 4919, F32, 26, 22) (dual of [(4919, 26), 127826, 23]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(3268, 29515, F32, 2, 22) (dual of [(29515, 2), 58962, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3268, 29516, F32, 2, 22) (dual of [(29516, 2), 58964, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3268, 29516, F32, 22) (dual of [29516, 29448, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(3268, 32787, F32, 22) (dual of [32787, 32719, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(16) [i] based on
- linear OA(3264, 32768, F32, 22) (dual of [32768, 32704, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3249, 32768, F32, 17) (dual of [32768, 32719, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(324, 19, F32, 4) (dual of [19, 15, 5]-code or 19-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 Ce(21) ⊂ Ce(16) [i] based on
- discarding factors / shortening the dual code based on linear OA(3268, 32787, F32, 22) (dual of [32787, 32719, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3268, 29516, F32, 22) (dual of [29516, 29448, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(3268, 29516, F32, 2, 22) (dual of [(29516, 2), 58964, 23]-NRT-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.