Information on Result #521311
There is no (28, 199, 68)-net in base 3, because extracting embedded OOA would yield OOA(3199, 68, S3, 3, 171), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 3 984209 833138 121540 081719 830536 694402 438501 789800 917439 618624 426086 387363 519532 744915 770485 660015 / 43 > 3199 [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 (28, 200, 68)-net in base 3 | [i] | m-Reduction | |
| 2 | No (28, 201, 68)-net in base 3 | [i] | ||
| 3 | No (28, 202, 68)-net in base 3 | [i] | ||
| 4 | No (28, 203, 68)-net in base 3 | [i] | ||
| 5 | No (28, 204, 68)-net in base 3 | [i] | ||
| 6 | No (28, 205, 68)-net in base 3 | [i] | ||
| 7 | No (28, 206, 68)-net in base 3 | [i] | ||
| 8 | No (28, 207, 68)-net in base 3 | [i] | ||
| 9 | No (28, 208, 68)-net in base 3 | [i] | ||
| 10 | No (28, 209, 68)-net in base 3 | [i] | ||
| 11 | No (28, 210, 68)-net in base 3 | [i] | ||
| 12 | No (28, 211, 68)-net in base 3 | [i] | ||
| 13 | No (28, 212, 68)-net in base 3 | [i] | ||
| 14 | No (28, 213, 68)-net in base 3 | [i] | ||
| 15 | No (28, 214, 68)-net in base 3 | [i] | ||
| 16 | No (28, 215, 68)-net in base 3 | [i] | ||
| 17 | No (28, 216, 68)-net in base 3 | [i] | ||
| 18 | No (28, 217, 68)-net in base 3 | [i] | ||
| 19 | No (28, 218, 68)-net in base 3 | [i] | ||
| 20 | No (28, 219, 68)-net in base 3 | [i] | ||
| 21 | No (28, 220, 68)-net in base 3 | [i] | ||
| 22 | No (28, 221, 68)-net in base 3 | [i] | ||
| 23 | No (28, 222, 68)-net in base 3 | [i] | ||
| 24 | No (28, 223, 68)-net in base 3 | [i] | ||
| 25 | No (28, 224, 68)-net in base 3 | [i] | ||
| 26 | No (28, 225, 68)-net in base 3 | [i] | ||
| 27 | No (28, 226, 68)-net in base 3 | [i] | ||
| 28 | No (28, 227, 68)-net in base 3 | [i] | ||
| 29 | No (28, 228, 68)-net in base 3 | [i] | ||
| 30 | No (28, 229, 68)-net in base 3 | [i] | ||
| 31 | No (28, 230, 68)-net in base 3 | [i] | ||
| 32 | No (28, 231, 68)-net in base 3 | [i] | ||
| 33 | No (28, 232, 68)-net in base 3 | [i] | ||
| 34 | No (28, 233, 68)-net in base 3 | [i] | ||
| 35 | No (28, 234, 68)-net in base 3 | [i] | ||
| 36 | No (28, 235, 68)-net in base 3 | [i] | ||
| 37 | No (28, 236, 68)-net in base 3 | [i] | ||
| 38 | No (28, 237, 68)-net in base 3 | [i] | ||
| 39 | No (28, 238, 68)-net in base 3 | [i] | ||
| 40 | No (28, 239, 68)-net in base 3 | [i] | ||
| 41 | No (28, 240, 68)-net in base 3 | [i] | ||
| 42 | No (28, 241, 68)-net in base 3 | [i] | ||
| 43 | No (28, 242, 68)-net in base 3 | [i] | ||
| 44 | No (28, 243, 68)-net in base 3 | [i] | ||
| 45 | No (28, 244, 68)-net in base 3 | [i] | ||
| 46 | No (28, 245, 68)-net in base 3 | [i] | ||
| 47 | No (28, 246, 68)-net in base 3 | [i] | ||
| 48 | No (28, 247, 68)-net in base 3 | [i] | ||
| 49 | No (28, 248, 68)-net in base 3 | [i] | ||
| 50 | No (28, 249, 68)-net in base 3 | [i] | ||
| 51 | No (28, 250, 68)-net in base 3 | [i] | ||