Information on Result #520645
There is no (86, 178, 184)-net in base 2, because extracting embedded orthogonal array would yield OA(2178, 184, S2, 92), but
- adding a parity check bit [i] would yield OA(2179, 185, S2, 93), but
- the (dual) Plotkin bound shows that M ≥ 36 779892 980781 332600 600328 651607 420406 849738 932406 452224 / 47 > 2179 [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 (86, 179, 184)-net in base 2 | [i] | m-Reduction | |
| 2 | No (86, 180, 184)-net in base 2 | [i] | ||
| 3 | No (86, 181, 184)-net in base 2 | [i] | ||
| 4 | No (86, 182, 184)-net in base 2 | [i] | ||
| 5 | No (86, 183, 184)-net in base 2 | [i] | ||
| 6 | No (86, 184, 184)-net in base 2 | [i] | ||
| 7 | No (86, 185, 184)-net in base 2 | [i] | ||
| 8 | No (86, 186, 184)-net in base 2 | [i] | ||
| 9 | No (86, 187, 184)-net in base 2 | [i] | ||
| 10 | No (86, 188, 184)-net in base 2 | [i] | ||
| 11 | No (86, 189, 184)-net in base 2 | [i] | ||
| 12 | No (86, 190, 184)-net in base 2 | [i] | ||
| 13 | No (86, 191, 184)-net in base 2 | [i] | ||
| 14 | No (86, 192, 184)-net in base 2 | [i] | ||
| 15 | No (86, 193, 184)-net in base 2 | [i] | ||