Information on Result #1199296
Digital (14, 28, 147)-net over F32, using net defined by OOA based on linear OOA(3228, 147, F32, 14, 14) (dual of [(147, 14), 2030, 15]-NRT-code), using
- OA 7-folding and stacking [i] based on linear OA(3228, 1029, F32, 14) (dual of [1029, 1001, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(11) [i] based on
- linear OA(3227, 1024, F32, 14) (dual of [1024, 997, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(3223, 1024, F32, 12) (dual of [1024, 1001, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 1023 = 322−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [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(13) ⊂ Ce(11) [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 (52, 80, 309)-net over F32 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (52, 81, 309)-net over F32 | [i] | ||
| 3 | Digital (54, 83, 321)-net over F32 | [i] | ||