Information on Result #522901
There is no (6, 99, 51)-net in base 7, because extracting embedded OOA would yield OOA(799, 51, S7, 2, 93), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 25 875812 076998 063930 757182 152801 734486 857625 591237 003207 471162 651133 531677 095424 480008 / 47 > 799 [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 (6, 100, 51)-net in base 7 | [i] | m-Reduction | |
| 2 | No (6, 101, 51)-net in base 7 | [i] | ||
| 3 | No (6, 102, 51)-net in base 7 | [i] | ||
| 4 | No (6, 103, 51)-net in base 7 | [i] | ||
| 5 | No (6, 104, 51)-net in base 7 | [i] | ||
| 6 | No (6, 105, 51)-net in base 7 | [i] | ||
| 7 | No (6, 106, 51)-net in base 7 | [i] | ||
| 8 | No (6, 107, 51)-net in base 7 | [i] | ||
| 9 | No (6, 108, 51)-net in base 7 | [i] | ||
| 10 | No (6, 109, 51)-net in base 7 | [i] | ||
| 11 | No (6, 110, 51)-net in base 7 | [i] | ||
| 12 | No (6, m, 51)-net in base 7 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |