Information on Result #521240
There is no (24, 123, 64)-net in base 3, because extracting embedded OOA would yield OOA(3123, 64, S3, 2, 99), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 1 310020 508637 620352 391208 095712 502073 964245 732475 093456 566329 / 25 > 3123 [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 (24, 124, 64)-net in base 3 | [i] | m-Reduction | |
| 2 | No (24, 125, 64)-net in base 3 | [i] | ||
| 3 | No (24, 126, 64)-net in base 3 | [i] | ||
| 4 | No (24, 127, 64)-net in base 3 | [i] | ||
| 5 | No (24, 128, 64)-net in base 3 | [i] | ||
| 6 | No (24, 129, 64)-net in base 3 | [i] | ||
| 7 | No (24, 130, 64)-net in base 3 | [i] | ||
| 8 | No (24, 131, 64)-net in base 3 | [i] | ||
| 9 | No (24, 132, 64)-net in base 3 | [i] | ||
| 10 | No (24, 133, 64)-net in base 3 | [i] | ||
| 11 | No (24, 134, 64)-net in base 3 | [i] | ||
| 12 | No (24, 135, 64)-net in base 3 | [i] | ||
| 13 | No (24, 136, 64)-net in base 3 | [i] | ||
| 14 | No (24, 137, 64)-net in base 3 | [i] | ||
| 15 | No (24, 138, 64)-net in base 3 | [i] | ||
| 16 | No (24, 139, 64)-net in base 3 | [i] | ||
| 17 | No (24, 140, 64)-net in base 3 | [i] | ||
| 18 | No (24, 141, 64)-net in base 3 | [i] | ||
| 19 | No (24, 142, 64)-net in base 3 | [i] | ||
| 20 | No (24, 143, 64)-net in base 3 | [i] | ||
| 21 | No (24, 144, 64)-net in base 3 | [i] | ||
| 22 | No (24, 145, 64)-net in base 3 | [i] | ||
| 23 | No (24, 146, 64)-net in base 3 | [i] | ||
| 24 | No (24, 147, 64)-net in base 3 | [i] | ||
| 25 | No (24, 148, 64)-net in base 3 | [i] | ||
| 26 | No (24, 149, 64)-net in base 3 | [i] | ||
| 27 | No (24, 150, 64)-net in base 3 | [i] | ||
| 28 | No (24, 151, 64)-net in base 3 | [i] | ||
| 29 | No (24, 152, 64)-net in base 3 | [i] | ||
| 30 | No (24, 153, 64)-net in base 3 | [i] | ||
| 31 | No (24, 154, 64)-net in base 3 | [i] | ||
| 32 | No (24, 155, 64)-net in base 3 | [i] | ||
| 33 | No (24, 156, 64)-net in base 3 | [i] | ||
| 34 | No (24, 157, 64)-net in base 3 | [i] | ||
| 35 | No (24, 158, 64)-net in base 3 | [i] | ||
| 36 | No (24, 159, 64)-net in base 3 | [i] | ||
| 37 | No (24, 160, 64)-net in base 3 | [i] | ||
| 38 | No (24, 161, 64)-net in base 3 | [i] | ||
| 39 | No (24, 162, 64)-net in base 3 | [i] | ||
| 40 | No (24, 163, 64)-net in base 3 | [i] | ||
| 41 | No (24, 164, 64)-net in base 3 | [i] | ||
| 42 | No (24, 165, 64)-net in base 3 | [i] | ||
| 43 | No (24, 166, 64)-net in base 3 | [i] | ||
| 44 | No (24, 167, 64)-net in base 3 | [i] | ||
| 45 | No (24, 168, 64)-net in base 3 | [i] | ||
| 46 | No (24, 169, 64)-net in base 3 | [i] | ||
| 47 | No (24, 170, 64)-net in base 3 | [i] | ||
| 48 | No (24, 171, 64)-net in base 3 | [i] | ||
| 49 | No (24, 172, 64)-net in base 3 | [i] | ||
| 50 | No (24, 173, 64)-net in base 3 | [i] | ||
| 51 | No (24, 174, 64)-net in base 3 | [i] | ||