Information on Result #1198774
Digital (10, 16, 10923)-net over F32, using net defined by OOA based on linear OOA(3216, 10923, F32, 6, 6) (dual of [(10923, 6), 65522, 7]-NRT-code), using
- OA 3-folding and stacking [i] based on linear OA(3216, 32769, F32, 6) (dual of [32769, 32753, 7]-code), using
- discarding factors / shortening the dual code based on linear OA(3216, 32771, F32, 6) (dual of [32771, 32755, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(3216, 32768, F32, 6) (dual of [32768, 32752, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(3213, 32768, F32, 5) (dual of [32768, 32755, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- discarding factors / shortening the dual code based on linear OA(3216, 32771, F32, 6) (dual of [32771, 32755, 7]-code), using
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 (13, 19, 10956)-net over F32 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (14, 20, 11948)-net over F32 | [i] | ||
| 3 | Digital (60, 72, 1409023)-net over F32 | [i] | ||
| 4 | Digital (64, 77, 1409023)-net over F32 | [i] | ||
| 5 | (58, 70, 1409023)-net in base 32 | [i] | ||
| 6 | (62, 75, 1409023)-net in base 32 | [i] | ||
| 7 | (14, 20, 10923)-net in base 16 | [i] | Base Change | |