Information on Result #521946
There is no (17, 68, 78)-net in base 4, because extracting embedded orthogonal array would yield OA(468, 78, S4, 51), but
- the linear programming bound shows that M ≥ 28277 344911 736830 143467 290769 718122 389583 167488 / 244673 > 468 [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 (17, 69, 78)-net in base 4 | [i] | m-Reduction | |
| 2 | No (17, 70, 78)-net in base 4 | [i] | ||
| 3 | No (17, 71, 78)-net in base 4 | [i] | ||
| 4 | No (17, 72, 78)-net in base 4 | [i] | ||
| 5 | No (17, 73, 78)-net in base 4 | [i] | ||
| 6 | No (17, 74, 78)-net in base 4 | [i] | ||
| 7 | No (17, 75, 78)-net in base 4 | [i] | ||
| 8 | No (17, 76, 78)-net in base 4 | [i] | ||
| 9 | No (17, 77, 78)-net in base 4 | [i] | ||
| 10 | No (17, 78, 78)-net in base 4 | [i] | ||
| 11 | No (17, 79, 78)-net in base 4 | [i] | ||
| 12 | No (17, 80, 78)-net in base 4 | [i] | ||
| 13 | No (17, 81, 78)-net in base 4 | [i] | ||
| 14 | No (17, 82, 78)-net in base 4 | [i] | ||
| 15 | No (17, 83, 78)-net in base 4 | [i] | ||
| 16 | No (17, 84, 78)-net in base 4 | [i] | ||
| 17 | No (17, 85, 78)-net in base 4 | [i] | ||
| 18 | No (17, 86, 78)-net in base 4 | [i] | ||
| 19 | No (17, 87, 78)-net in base 4 | [i] | ||
| 20 | No (17, 88, 78)-net in base 4 | [i] | ||
| 21 | No (17, 89, 78)-net in base 4 | [i] | ||
| 22 | No (17, 90, 78)-net in base 4 | [i] | ||
| 23 | No (17, 91, 78)-net in base 4 | [i] | ||
| 24 | No (17, 92, 78)-net in base 4 | [i] | ||
| 25 | No (17, 93, 78)-net in base 4 | [i] | ||
| 26 | No (17, 94, 78)-net in base 4 | [i] | ||
| 27 | No (17, 95, 78)-net in base 4 | [i] | ||
| 28 | No (17, 96, 78)-net in base 4 | [i] | ||
| 29 | No (17, 97, 78)-net in base 4 | [i] | ||
| 30 | No (17, 98, 78)-net in base 4 | [i] | ||
| 31 | No (17, 99, 78)-net in base 4 | [i] | ||
| 32 | No (17, 100, 78)-net in base 4 | [i] | ||
| 33 | No (17, 101, 78)-net in base 4 | [i] | ||
| 34 | No (17, 102, 78)-net in base 4 | [i] | ||
| 35 | No (17, 103, 78)-net in base 4 | [i] | ||
| 36 | No (17, 104, 78)-net in base 4 | [i] | ||
| 37 | No (17, 105, 78)-net in base 4 | [i] | ||
| 38 | No (17, 106, 78)-net in base 4 | [i] | ||
| 39 | No (17, 107, 78)-net in base 4 | [i] | ||
| 40 | No (17, 108, 78)-net in base 4 | [i] | ||
| 41 | No (17, 109, 78)-net in base 4 | [i] | ||
| 42 | No (17, 110, 78)-net in base 4 | [i] | ||
| 43 | No (17, 111, 78)-net in base 4 | [i] | ||
| 44 | No (17, 112, 78)-net in base 4 | [i] | ||
| 45 | No (17, 113, 78)-net in base 4 | [i] | ||
| 46 | No (17, 114, 78)-net in base 4 | [i] | ||
| 47 | No (17, 115, 78)-net in base 4 | [i] | ||
| 48 | No (17, 116, 78)-net in base 4 | [i] | ||
| 49 | No (17, 117, 78)-net in base 4 | [i] | ||
| 50 | No (17, 118, 78)-net in base 4 | [i] | ||
| 51 | No (17, 119, 78)-net in base 4 | [i] | ||
| 52 | No (17, 120, 78)-net in base 4 | [i] | ||
| 53 | No (17, 121, 78)-net in base 4 | [i] | ||
| 54 | No (17, 122, 78)-net in base 4 | [i] | ||
| 55 | No (17, 123, 78)-net in base 4 | [i] | ||
| 56 | No (17, 124, 78)-net in base 4 | [i] | ||
| 57 | No (17, 125, 78)-net in base 4 | [i] | ||
| 58 | No (17, 126, 78)-net in base 4 | [i] | ||