Information on Result #522868
There is no (4, 74, 39)-net in base 7, because extracting embedded OOA would yield OOA(774, 39, S7, 2, 70), but
- the LP bound with quadratic polynomials shows that M ≥ 30665 141124 411175 854056 235783 580684 649065 396053 855752 734074 479561 / 71 > 774 [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 (4, 75, 39)-net in base 7 | [i] | m-Reduction | |
| 2 | No (4, 76, 39)-net in base 7 | [i] | ||
| 3 | No (4, 77, 39)-net in base 7 | [i] | ||
| 4 | No (4, 78, 39)-net in base 7 | [i] | ||
| 5 | No (4, 79, 39)-net in base 7 | [i] | ||
| 6 | No (4, 80, 39)-net in base 7 | [i] | ||
| 7 | No (4, 81, 39)-net in base 7 | [i] | ||
| 8 | No (4, 82, 39)-net in base 7 | [i] | ||
| 9 | No (4, 83, 39)-net in base 7 | [i] | ||
| 10 | No (4, 84, 39)-net in base 7 | [i] | ||
| 11 | No (4, 85, 39)-net in base 7 | [i] | ||
| 12 | No (4, 86, 39)-net in base 7 | [i] | ||
| 13 | No (4, 87, 39)-net in base 7 | [i] | ||
| 14 | No (4, 88, 39)-net in base 7 | [i] | ||
| 15 | No (4, 89, 39)-net in base 7 | [i] | ||
| 16 | No (4, 90, 39)-net in base 7 | [i] | ||
| 17 | No (4, 91, 39)-net in base 7 | [i] | ||
| 18 | No (4, 92, 39)-net in base 7 | [i] | ||
| 19 | No (4, 93, 39)-net in base 7 | [i] | ||
| 20 | No (4, 94, 39)-net in base 7 | [i] | ||
| 21 | No (4, 95, 39)-net in base 7 | [i] | ||
| 22 | No (4, 96, 39)-net in base 7 | [i] | ||
| 23 | No (4, 97, 39)-net in base 7 | [i] | ||
| 24 | No (4, 98, 39)-net in base 7 | [i] | ||
| 25 | No (4, 99, 39)-net in base 7 | [i] | ||
| 26 | No (4, 100, 39)-net in base 7 | [i] | ||
| 27 | No (4, 101, 39)-net in base 7 | [i] | ||
| 28 | No (4, 102, 39)-net in base 7 | [i] | ||
| 29 | No (4, 103, 39)-net in base 7 | [i] | ||
| 30 | No (4, 104, 39)-net in base 7 | [i] | ||
| 31 | No (4, 105, 39)-net in base 7 | [i] | ||
| 32 | No (4, 106, 39)-net in base 7 | [i] | ||
| 33 | No (4, 107, 39)-net in base 7 | [i] | ||
| 34 | No (4, 108, 39)-net in base 7 | [i] | ||
| 35 | No (4, 109, 39)-net in base 7 | [i] | ||
| 36 | No (4, 110, 39)-net in base 7 | [i] | ||
| 37 | No (4, m, 39)-net in base 7 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |