Information on Result #600003
There is no digital (2, 66, 99)-net over F32, because extracting embedded orthogonal array would yield linear OA(3266, 99, F32, 64) (dual of [99, 33, 65]-code), but
- residual code [i] would yield OA(322, 34, S32, 2), but
- bound for OAs with strength k = 2 [i]
- the Rao or (dual) Hamming bound shows that M ≥ 1055 > 322 [i]
Mode: Bound (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 | No digital (2, 67, 99)-net over F32 | [i] | m-Reduction | |
| 2 | No digital (2, 68, 99)-net over F32 | [i] | ||
| 3 | No digital (2, 69, 99)-net over F32 | [i] | ||
| 4 | No digital (2, 70, 99)-net over F32 | [i] | ||
| 5 | No digital (2, 71, 99)-net over F32 | [i] | ||
| 6 | No digital (2, 72, 99)-net over F32 | [i] | ||
| 7 | No digital (2, 73, 99)-net over F32 | [i] | ||
| 8 | No digital (2, 74, 99)-net over F32 | [i] | ||
| 9 | No digital (2, 75, 99)-net over F32 | [i] | ||
| 10 | No digital (2, 76, 99)-net over F32 | [i] | ||
| 11 | No digital (2, 77, 99)-net over F32 | [i] | ||
| 12 | No digital (2, 78, 99)-net over F32 | [i] | ||
| 13 | No digital (2, 79, 99)-net over F32 | [i] | ||
| 14 | No digital (2, 80, 99)-net over F32 | [i] | ||
| 15 | No digital (2, 81, 99)-net over F32 | [i] | ||
| 16 | No digital (2, 82, 99)-net over F32 | [i] | ||
| 17 | No digital (2, 83, 99)-net over F32 | [i] | ||
| 18 | No digital (2, 84, 99)-net over F32 | [i] | ||
| 19 | No digital (2, 85, 99)-net over F32 | [i] | ||
| 20 | No digital (2, 86, 99)-net over F32 | [i] | ||