Information on Result #521593
There is no (60, 189, 194)-net in base 3, because extracting embedded orthogonal array would yield OA(3189, 194, S3, 129), but
- the (dual) Plotkin bound shows that M ≥ 121 451298 068529 844233 553416 568714 964256 622520 646270 917226 600348 303197 298080 156462 274524 325123 / 65 > 3189 [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 (60, 190, 194)-net in base 3 | [i] | m-Reduction | |
| 2 | No (60, 191, 194)-net in base 3 | [i] | ||
| 3 | No (60, 192, 194)-net in base 3 | [i] | ||
| 4 | No (60, 193, 194)-net in base 3 | [i] | ||
| 5 | No (60, 194, 194)-net in base 3 | [i] | ||
| 6 | No (60, 195, 194)-net in base 3 | [i] | ||
| 7 | No (60, 196, 194)-net in base 3 | [i] | ||
| 8 | No (60, 197, 194)-net in base 3 | [i] | ||
| 9 | No (60, 198, 194)-net in base 3 | [i] | ||
| 10 | No (60, 199, 194)-net in base 3 | [i] | ||
| 11 | No (60, 200, 194)-net in base 3 | [i] | ||
| 12 | No (60, 201, 194)-net in base 3 | [i] | ||
| 13 | No (60, 202, 194)-net in base 3 | [i] | ||
| 14 | No (60, 203, 194)-net in base 3 | [i] | ||
| 15 | No (60, 204, 194)-net in base 3 | [i] | ||
| 16 | No (60, 205, 194)-net in base 3 | [i] | ||
| 17 | No (60, 206, 194)-net in base 3 | [i] | ||
| 18 | No (60, 207, 194)-net in base 3 | [i] | ||
| 19 | No (60, 208, 194)-net in base 3 | [i] | ||
| 20 | No (60, 209, 194)-net in base 3 | [i] | ||
| 21 | No (60, 210, 194)-net in base 3 | [i] | ||
| 22 | No (60, 211, 194)-net in base 3 | [i] | ||
| 23 | No (60, 212, 194)-net in base 3 | [i] | ||
| 24 | No (60, 213, 194)-net in base 3 | [i] | ||
| 25 | No (60, 214, 194)-net in base 3 | [i] | ||
| 26 | No (60, 215, 194)-net in base 3 | [i] | ||
| 27 | No (60, 216, 194)-net in base 3 | [i] | ||
| 28 | No (60, 217, 194)-net in base 3 | [i] | ||
| 29 | No (60, 218, 194)-net in base 3 | [i] | ||
| 30 | No (60, 219, 194)-net in base 3 | [i] | ||
| 31 | No (60, 220, 194)-net in base 3 | [i] | ||
| 32 | No (60, 221, 194)-net in base 3 | [i] | ||
| 33 | No (60, 222, 194)-net in base 3 | [i] | ||
| 34 | No (60, 223, 194)-net in base 3 | [i] | ||
| 35 | No (60, 224, 194)-net in base 3 | [i] | ||
| 36 | No (60, 225, 194)-net in base 3 | [i] | ||
| 37 | No (60, 226, 194)-net in base 3 | [i] | ||
| 38 | No (60, 227, 194)-net in base 3 | [i] | ||
| 39 | No (60, 228, 194)-net in base 3 | [i] | ||
| 40 | No (60, 229, 194)-net in base 3 | [i] | ||
| 41 | No (60, 230, 194)-net in base 3 | [i] | ||
| 42 | No (60, 231, 194)-net in base 3 | [i] | ||
| 43 | No (60, 232, 194)-net in base 3 | [i] | ||
| 44 | No (60, 233, 194)-net in base 3 | [i] | ||
| 45 | No (60, 234, 194)-net in base 3 | [i] | ||
| 46 | No (60, 235, 194)-net in base 3 | [i] | ||
| 47 | No (60, 236, 194)-net in base 3 | [i] | ||
| 48 | No (60, 237, 194)-net in base 3 | [i] | ||
| 49 | No (60, 238, 194)-net in base 3 | [i] | ||
| 50 | No (60, 239, 194)-net in base 3 | [i] | ||
| 51 | No (60, 240, 194)-net in base 3 | [i] | ||
| 52 | No (60, 241, 194)-net in base 3 | [i] | ||
| 53 | No (60, 242, 194)-net in base 3 | [i] | ||
| 54 | No (60, 243, 194)-net in base 3 | [i] | ||
| 55 | No (60, 244, 194)-net in base 3 | [i] | ||
| 56 | No (60, 245, 194)-net in base 3 | [i] | ||
| 57 | No (60, 246, 194)-net in base 3 | [i] | ||
| 58 | No (60, 247, 194)-net in base 3 | [i] | ||
| 59 | No (60, 248, 194)-net in base 3 | [i] | ||
| 60 | No (60, 249, 194)-net in base 3 | [i] | ||
| 61 | No (60, 250, 194)-net in base 3 | [i] | ||