Information on Result #524185
There is no (2, 74, 78)-net in base 27, because extracting embedded orthogonal array would yield OA(2774, 78, S27, 72), but
- the linear programming bound shows that M ≥ 981 000392 047679 793224 589514 892092 100547 285178 849241 756604 164607 128464 559760 391182 392033 793658 959804 539641 190037 / 106799 > 2774 [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 (2, 75, 78)-net in base 27 | [i] | m-Reduction | |
| 2 | No (2, 76, 78)-net in base 27 | [i] | ||
| 3 | No (2, 77, 78)-net in base 27 | [i] | ||
| 4 | No (2, 78, 78)-net in base 27 | [i] | ||
| 5 | No (2, 79, 78)-net in base 27 | [i] | ||
| 6 | No (2, 80, 78)-net in base 27 | [i] | ||
| 7 | No (2, 81, 78)-net in base 27 | [i] | ||
| 8 | No (2, 82, 78)-net in base 27 | [i] | ||
| 9 | No (2, 83, 78)-net in base 27 | [i] | ||
| 10 | No (2, 84, 78)-net in base 27 | [i] | ||
| 11 | No (2, 85, 78)-net in base 27 | [i] | ||
| 12 | No (2, 86, 78)-net in base 27 | [i] | ||
| 13 | No (2, 87, 78)-net in base 27 | [i] | ||
| 14 | No (2, 88, 78)-net in base 27 | [i] | ||
| 15 | No (2, 89, 78)-net in base 27 | [i] | ||
| 16 | No (2, 90, 78)-net in base 27 | [i] | ||
| 17 | No (2, 91, 78)-net in base 27 | [i] | ||
| 18 | No (2, 92, 78)-net in base 27 | [i] | ||
| 19 | No (2, 93, 78)-net in base 27 | [i] | ||
| 20 | No (2, 94, 78)-net in base 27 | [i] | ||
| 21 | No (2, 95, 78)-net in base 27 | [i] | ||
| 22 | No (2, 96, 78)-net in base 27 | [i] | ||
| 23 | No (2, 97, 78)-net in base 27 | [i] | ||
| 24 | No (2, 98, 78)-net in base 27 | [i] | ||
| 25 | No (2, 99, 78)-net in base 27 | [i] | ||
| 26 | No (2, 100, 78)-net in base 27 | [i] | ||
| 27 | No (2, 101, 78)-net in base 27 | [i] | ||
| 28 | No (2, 102, 78)-net in base 27 | [i] | ||
| 29 | No (2, 103, 78)-net in base 27 | [i] | ||
| 30 | No (2, 104, 78)-net in base 27 | [i] | ||
| 31 | No (2, 105, 78)-net in base 27 | [i] | ||
| 32 | No (2, 106, 78)-net in base 27 | [i] | ||
| 33 | No (2, 107, 78)-net in base 27 | [i] | ||
| 34 | No (2, 108, 78)-net in base 27 | [i] | ||
| 35 | No (2, 109, 78)-net in base 27 | [i] | ||
| 36 | No (2, 110, 78)-net in base 27 | [i] | ||
| 37 | No (2, m, 78)-net in base 27 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |