Information on Result #520600
There is no (70, 146, 152)-net in base 2, because extracting embedded orthogonal array would yield OA(2146, 152, S2, 76), but
- adding a parity check bit [i] would yield OA(2147, 153, S2, 77), but
- the (dual) Plotkin bound shows that M ≥ 2854 495385 411919 762116 571938 898990 272765 493248 / 13 > 2147 [i]
Mode: Bound.
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 (70, 147, 152)-net in base 2 | [i] | m-Reduction | |
2 | No (70, 148, 152)-net in base 2 | [i] | ||
3 | No (70, 149, 152)-net in base 2 | [i] | ||
4 | No (70, 150, 152)-net in base 2 | [i] | ||
5 | No (70, 151, 152)-net in base 2 | [i] | ||
6 | No (70, 152, 152)-net in base 2 | [i] | ||
7 | No (70, 153, 152)-net in base 2 | [i] | ||
8 | No (70, 154, 152)-net in base 2 | [i] | ||
9 | No (70, 155, 152)-net in base 2 | [i] | ||
10 | No (70, 156, 152)-net in base 2 | [i] | ||
11 | No (70, 157, 152)-net in base 2 | [i] |