Information on Result #598849
There is no digital (112, 224, 236)-net over F2, because extracting embedded orthogonal array would yield linear OA(2224, 236, F2, 112) (dual of [236, 12, 113]-code), but
- residual code [i] would yield linear OA(2112, 123, F2, 56) (dual of [123, 11, 57]-code), but
- residual code [i] would yield linear OA(256, 66, F2, 28) (dual of [66, 10, 29]-code), but
- adding a parity check bit [i] would yield linear OA(257, 67, F2, 29) (dual of [67, 10, 30]-code), but
- residual code [i] would yield linear OA(256, 66, F2, 28) (dual of [66, 10, 29]-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 (112, 225, 236)-net over F2 | [i] | m-Reduction | |
| 2 | No digital (112, 226, 236)-net over F2 | [i] | ||
| 3 | No digital (112, 227, 236)-net over F2 | [i] | ||
| 4 | No digital (112, 228, 236)-net over F2 | [i] | ||
| 5 | No digital (112, 229, 236)-net over F2 | [i] | ||
| 6 | No digital (112, 230, 236)-net over F2 | [i] | ||
| 7 | No digital (112, 231, 236)-net over F2 | [i] | ||
| 8 | No digital (112, 232, 236)-net over F2 | [i] | ||
| 9 | No digital (112, 233, 236)-net over F2 | [i] | ||
| 10 | No digital (112, 234, 236)-net over F2 | [i] | ||
| 11 | No digital (112, 235, 236)-net over F2 | [i] | ||
| 12 | No digital (112, 236, 236)-net over F2 | [i] | ||
| 13 | No digital (112, 237, 236)-net over F2 | [i] | ||
| 14 | No digital (112, 238, 236)-net over F2 | [i] | ||
| 15 | No digital (112, 239, 236)-net over F2 | [i] | ||
| 16 | No digital (112, 240, 236)-net over F2 | [i] | ||
| 17 | No digital (112, 241, 236)-net over F2 | [i] | ||
| 18 | No digital (112, 242, 236)-net over F2 | [i] | ||
| 19 | No digital (112, 243, 236)-net over F2 | [i] | ||
| 20 | No digital (112, 244, 236)-net over F2 | [i] | ||
| 21 | No digital (112, 245, 236)-net over F2 | [i] | ||
| 22 | No digital (112, 246, 236)-net over F2 | [i] | ||
| 23 | No digital (112, 247, 236)-net over F2 | [i] | ||
| 24 | No digital (112, 248, 236)-net over F2 | [i] | ||
| 25 | No digital (112, 249, 236)-net over F2 | [i] | ||
| 26 | No digital (112, 250, 236)-net over F2 | [i] | ||
| 27 | No digital (112, 251, 236)-net over F2 | [i] | ||