Information on Result #520624
There is no (80, 166, 172)-net in base 2, because extracting embedded orthogonal array would yield OA(2166, 172, S2, 86), but
- adding a parity check bit [i] would yield OA(2167, 173, S2, 87), but
- the (dual) Plotkin bound shows that M ≥ 2244 866514 940266 882360 859903 052210 718191 512386 011136 / 11 > 2167 [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 (80, 167, 172)-net in base 2 | [i] | m-Reduction | |
| 2 | No (80, 168, 172)-net in base 2 | [i] | ||
| 3 | No (80, 169, 172)-net in base 2 | [i] | ||
| 4 | No (80, 170, 172)-net in base 2 | [i] | ||
| 5 | No (80, 171, 172)-net in base 2 | [i] | ||
| 6 | No (80, 172, 172)-net in base 2 | [i] | ||
| 7 | No (80, 173, 172)-net in base 2 | [i] | ||
| 8 | No (80, 174, 172)-net in base 2 | [i] | ||
| 9 | No (80, 175, 172)-net in base 2 | [i] | ||
| 10 | No (80, 176, 172)-net in base 2 | [i] | ||
| 11 | No (80, 177, 172)-net in base 2 | [i] | ||
| 12 | No (80, 178, 172)-net in base 2 | [i] | ||
| 13 | No (80, 179, 172)-net in base 2 | [i] | ||