Information on Result #522539
There is no (14, 70, 79)-net in base 5, because extracting embedded orthogonal array would yield OA(570, 79, S5, 56), but
- the linear programming bound shows that M ≥ 5 918642 718939 423619 239903 473498 998209 834098 815917 968750 / 578151 > 570 [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 (14, 71, 79)-net in base 5 | [i] | m-Reduction | |
| 2 | No (14, 72, 79)-net in base 5 | [i] | ||
| 3 | No (14, 73, 79)-net in base 5 | [i] | ||
| 4 | No (14, 74, 79)-net in base 5 | [i] | ||
| 5 | No (14, 75, 79)-net in base 5 | [i] | ||
| 6 | No (14, 76, 79)-net in base 5 | [i] | ||
| 7 | No (14, 77, 79)-net in base 5 | [i] | ||
| 8 | No (14, 78, 79)-net in base 5 | [i] | ||
| 9 | No (14, 79, 79)-net in base 5 | [i] | ||
| 10 | No (14, 80, 79)-net in base 5 | [i] | ||
| 11 | No (14, 81, 79)-net in base 5 | [i] | ||
| 12 | No (14, 82, 79)-net in base 5 | [i] | ||
| 13 | No (14, 83, 79)-net in base 5 | [i] | ||
| 14 | No (14, 84, 79)-net in base 5 | [i] | ||
| 15 | No (14, 85, 79)-net in base 5 | [i] | ||
| 16 | No (14, 86, 79)-net in base 5 | [i] | ||
| 17 | No (14, 87, 79)-net in base 5 | [i] | ||
| 18 | No (14, 88, 79)-net in base 5 | [i] | ||
| 19 | No (14, 89, 79)-net in base 5 | [i] | ||
| 20 | No (14, 90, 79)-net in base 5 | [i] | ||
| 21 | No (14, 91, 79)-net in base 5 | [i] | ||
| 22 | No (14, 92, 79)-net in base 5 | [i] | ||
| 23 | No (14, 93, 79)-net in base 5 | [i] | ||
| 24 | No (14, 94, 79)-net in base 5 | [i] | ||
| 25 | No (14, 95, 79)-net in base 5 | [i] | ||
| 26 | No (14, 96, 79)-net in base 5 | [i] | ||
| 27 | No (14, 97, 79)-net in base 5 | [i] | ||
| 28 | No (14, 98, 79)-net in base 5 | [i] | ||
| 29 | No (14, 99, 79)-net in base 5 | [i] | ||
| 30 | No (14, 100, 79)-net in base 5 | [i] | ||
| 31 | No (14, 101, 79)-net in base 5 | [i] | ||
| 32 | No (14, 102, 79)-net in base 5 | [i] | ||
| 33 | No (14, 103, 79)-net in base 5 | [i] | ||
| 34 | No (14, 104, 79)-net in base 5 | [i] | ||
| 35 | No (14, 105, 79)-net in base 5 | [i] | ||
| 36 | No (14, 106, 79)-net in base 5 | [i] | ||
| 37 | No (14, 107, 79)-net in base 5 | [i] | ||
| 38 | No (14, 108, 79)-net in base 5 | [i] | ||
| 39 | No (14, 109, 79)-net in base 5 | [i] | ||
| 40 | No (14, 110, 79)-net in base 5 | [i] | ||
| 41 | No (14, 111, 79)-net in base 5 | [i] | ||
| 42 | No (14, 112, 79)-net in base 5 | [i] | ||
| 43 | No (14, 113, 79)-net in base 5 | [i] | ||
| 44 | No (14, 114, 79)-net in base 5 | [i] | ||
| 45 | No (14, 115, 79)-net in base 5 | [i] | ||
| 46 | No (14, 116, 79)-net in base 5 | [i] | ||
| 47 | No (14, 117, 79)-net in base 5 | [i] | ||
| 48 | No (14, 118, 79)-net in base 5 | [i] | ||
| 49 | No (14, 119, 79)-net in base 5 | [i] | ||
| 50 | No (14, 120, 79)-net in base 5 | [i] | ||
| 51 | No (14, 121, 79)-net in base 5 | [i] | ||
| 52 | No (14, 122, 79)-net in base 5 | [i] | ||
| 53 | No (14, 123, 79)-net in base 5 | [i] | ||
| 54 | No (14, 124, 79)-net in base 5 | [i] | ||
| 55 | No (14, 125, 79)-net in base 5 | [i] | ||
| 56 | No (14, 126, 79)-net in base 5 | [i] | ||
| 57 | No (14, 127, 79)-net in base 5 | [i] | ||
| 58 | No (14, 128, 79)-net in base 5 | [i] | ||
| 59 | No (14, 129, 79)-net in base 5 | [i] | ||
| 60 | No (14, 130, 79)-net in base 5 | [i] | ||
| 61 | No (14, 131, 79)-net in base 5 | [i] | ||
| 62 | No (14, 132, 79)-net in base 5 | [i] | ||
| 63 | No (14, 133, 79)-net in base 5 | [i] | ||
| 64 | No (14, 134, 79)-net in base 5 | [i] | ||
| 65 | No (14, 135, 79)-net in base 5 | [i] | ||
| 66 | No (14, 136, 79)-net in base 5 | [i] | ||
| 67 | No (14, 137, 79)-net in base 5 | [i] | ||
| 68 | No (14, 138, 79)-net in base 5 | [i] | ||