Information on Result #598782
There is no digital (90, 182, 192)-net over F2, because extracting embedded orthogonal array would yield linear OA(2182, 192, F2, 92) (dual of [192, 10, 93]-code), but
- residual code [i] would yield linear OA(290, 99, F2, 46) (dual of [99, 9, 47]-code), but
- adding a parity check bit [i] would yield linear OA(291, 100, F2, 47) (dual of [100, 9, 48]-code), but
- “Bro†bound on codes from Brouwer’s database [i]
- adding a parity check bit [i] would yield linear OA(291, 100, F2, 47) (dual of [100, 9, 48]-code), but
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 (90, 183, 192)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (90, 184, 192)-net over F2 | [i] | ||
| 3 | No digital (90, 185, 192)-net over F2 | [i] | ||
| 4 | No digital (90, 186, 192)-net over F2 | [i] | ||
| 5 | No digital (90, 187, 192)-net over F2 | [i] | ||
| 6 | No digital (90, 188, 192)-net over F2 | [i] | ||
| 7 | No digital (90, 189, 192)-net over F2 | [i] | ||
| 8 | No digital (90, 190, 192)-net over F2 | [i] | ||
| 9 | No digital (90, 191, 192)-net over F2 | [i] | ||
| 10 | No digital (90, 192, 192)-net over F2 | [i] | ||
| 11 | No digital (90, 193, 192)-net over F2 | [i] | ||
| 12 | No digital (90, 194, 192)-net over F2 | [i] | ||
| 13 | No digital (90, 195, 192)-net over F2 | [i] | ||
| 14 | No digital (90, 196, 192)-net over F2 | [i] | ||
| 15 | No digital (90, 197, 192)-net over F2 | [i] | ||
| 16 | No digital (90, 198, 192)-net over F2 | [i] | ||
| 17 | No digital (90, 199, 192)-net over F2 | [i] | ||
| 18 | No digital (90, 200, 192)-net over F2 | [i] | ||
| 19 | No digital (90, 201, 192)-net over F2 | [i] | ||