Information on Result #522883
There is no (5, 86, 45)-net in base 7, because extracting embedded OOA would yield OOA(786, 45, S7, 2, 81), but
- the LP bound with quadratic polynomials shows that M ≥ 405 368844 447017 397144 485951 958074 725759 929366 921792 254455 742666 234993 920165 / 82 > 786 [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 (5, 87, 45)-net in base 7 | [i] | m-Reduction | |
| 2 | No (5, 88, 45)-net in base 7 | [i] | ||
| 3 | No (5, 89, 45)-net in base 7 | [i] | ||
| 4 | No (5, 90, 45)-net in base 7 | [i] | ||
| 5 | No (5, 91, 45)-net in base 7 | [i] | ||
| 6 | No (5, 92, 45)-net in base 7 | [i] | ||
| 7 | No (5, 93, 45)-net in base 7 | [i] | ||
| 8 | No (5, 94, 45)-net in base 7 | [i] | ||
| 9 | No (5, 95, 45)-net in base 7 | [i] | ||
| 10 | No (5, 96, 45)-net in base 7 | [i] | ||
| 11 | No (5, 97, 45)-net in base 7 | [i] | ||
| 12 | No (5, 98, 45)-net in base 7 | [i] | ||
| 13 | No (5, 99, 45)-net in base 7 | [i] | ||
| 14 | No (5, 100, 45)-net in base 7 | [i] | ||
| 15 | No (5, 101, 45)-net in base 7 | [i] | ||
| 16 | No (5, 102, 45)-net in base 7 | [i] | ||
| 17 | No (5, 103, 45)-net in base 7 | [i] | ||
| 18 | No (5, 104, 45)-net in base 7 | [i] | ||
| 19 | No (5, 105, 45)-net in base 7 | [i] | ||
| 20 | No (5, 106, 45)-net in base 7 | [i] | ||
| 21 | No (5, 107, 45)-net in base 7 | [i] | ||
| 22 | No (5, 108, 45)-net in base 7 | [i] | ||
| 23 | No (5, 109, 45)-net in base 7 | [i] | ||
| 24 | No (5, 110, 45)-net in base 7 | [i] | ||
| 25 | No (5, m, 45)-net in base 7 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |