Information on Result #520630
There is no (82, 170, 176)-net in base 2, because extracting embedded orthogonal array would yield OA(2170, 176, S2, 88), but
- adding a parity check bit [i] would yield OA(2171, 177, S2, 89), but
- the (dual) Plotkin bound shows that M ≥ 47890 485652 059026 823698 344598 447161 988085 597568 237568 / 15 > 2171 [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 (82, 171, 176)-net in base 2 | [i] | m-Reduction | |
| 2 | No (82, 172, 176)-net in base 2 | [i] | ||
| 3 | No (82, 173, 176)-net in base 2 | [i] | ||
| 4 | No (82, 174, 176)-net in base 2 | [i] | ||
| 5 | No (82, 175, 176)-net in base 2 | [i] | ||
| 6 | No (82, 176, 176)-net in base 2 | [i] | ||
| 7 | No (82, 177, 176)-net in base 2 | [i] | ||
| 8 | No (82, 178, 176)-net in base 2 | [i] | ||
| 9 | No (82, 179, 176)-net in base 2 | [i] | ||
| 10 | No (82, 180, 176)-net in base 2 | [i] | ||
| 11 | No (82, 181, 176)-net in base 2 | [i] | ||
| 12 | No (82, 182, 176)-net in base 2 | [i] | ||
| 13 | No (82, 183, 176)-net in base 2 | [i] | ||