Information on Result #1198766
Digital (6, 12, 343)-net over F32, using net defined by OOA based on linear OOA(3212, 343, F32, 6, 6) (dual of [(343, 6), 2046, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(3212, 1029, F32, 6) (dual of [1029, 1017, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
- linear OA(3211, 1024, F32, 6) (dual of [1024, 1013, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(327, 1024, F32, 4) (dual of [1024, 1017, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(3) [i] based on
Mode: Constructive and 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
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (56, 68, 1398443)-net over F32 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (60, 73, 1398443)-net over F32 | [i] | ||
| 3 | (54, 66, 1398443)-net in base 32 | [i] | ||
| 4 | (58, 71, 1398443)-net in base 32 | [i] | ||