Information on Result #598769
There is no digital (88, 176, 187)-net over F2, because extracting embedded orthogonal array would yield linear OA(2176, 187, F2, 88) (dual of [187, 11, 89]-code), but
- residual code [i] would yield linear OA(288, 98, F2, 44) (dual of [98, 10, 45]-code), but
- adding a parity check bit [i] would yield linear OA(289, 99, F2, 45) (dual of [99, 10, 46]-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 (88, 177, 187)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (88, 178, 187)-net over F2 | [i] | ||
| 3 | No digital (88, 179, 187)-net over F2 | [i] | ||
| 4 | No digital (88, 180, 187)-net over F2 | [i] | ||
| 5 | No digital (88, 181, 187)-net over F2 | [i] | ||
| 6 | No digital (88, 182, 187)-net over F2 | [i] | ||
| 7 | No digital (88, 183, 187)-net over F2 | [i] | ||
| 8 | No digital (88, 184, 187)-net over F2 | [i] | ||
| 9 | No digital (88, 185, 187)-net over F2 | [i] | ||
| 10 | No digital (88, 186, 187)-net over F2 | [i] | ||
| 11 | No digital (88, 187, 187)-net over F2 | [i] | ||
| 12 | No digital (88, 188, 187)-net over F2 | [i] | ||
| 13 | No digital (88, 189, 187)-net over F2 | [i] | ||
| 14 | No digital (88, 190, 187)-net over F2 | [i] | ||
| 15 | No digital (88, 191, 187)-net over F2 | [i] | ||
| 16 | No digital (88, 192, 187)-net over F2 | [i] | ||
| 17 | No digital (88, 193, 187)-net over F2 | [i] | ||
| 18 | No digital (88, 194, 187)-net over F2 | [i] | ||
| 19 | No digital (88, 195, 187)-net over F2 | [i] | ||
| 20 | No digital (88, 196, 187)-net over F2 | [i] | ||
| 21 | No digital (88, 197, 187)-net over F2 | [i] | ||