Information on Result #1201242
Digital (12, 25, 682)-net over F64, using net defined by OOA based on linear OOA(6425, 682, F64, 13, 13) (dual of [(682, 13), 8841, 14]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OA(6425, 4093, F64, 13) (dual of [4093, 4068, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(6425, 4096, F64, 13) (dual of [4096, 4071, 14]-code), using
- an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 4095 = 642−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- discarding factors / shortening the dual code based on linear OA(6425, 4096, F64, 13) (dual of [4096, 4071, 14]-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 (18, 31, 747)-net over F64 | [i] | (u, u+v)-Construction for Nets | |
| 2 | Digital (19, 32, 762)-net over F64 | [i] | ||
| 3 | Digital (21, 34, 812)-net over F64 | [i] | ||
| 4 | Digital (22, 35, 827)-net over F64 | [i] | ||
| 5 | Digital (46, 72, 514)-net over F64 | [i] | ||
| 6 | Digital (48, 74, 562)-net over F64 | [i] | ||
| 7 | Digital (46, 73, 514)-net over F64 | [i] | ||
| 8 | Digital (48, 75, 562)-net over F64 | [i] | ||
| 9 | Digital (50, 77, 610)-net over F64 | [i] | ||
| 10 | (17, 30, 682)-net in base 32 | [i] | Base Change | |