Information on Result #521224
There is no (23, 169, 58)-net in base 3, because extracting embedded OOA would yield OOA(3169, 58, S3, 3, 146), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 32251 751954 252566 656204 900896 126759 873336 043541 124827 145252 911033 614937 316056 596225 / 49 > 3169 [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 (23, 170, 58)-net in base 3 | [i] | m-Reduction | |
| 2 | No (23, 171, 58)-net in base 3 | [i] | ||
| 3 | No (23, 172, 58)-net in base 3 | [i] | ||
| 4 | No (23, 173, 58)-net in base 3 | [i] | ||
| 5 | No (23, 174, 58)-net in base 3 | [i] | ||
| 6 | No (23, 175, 58)-net in base 3 | [i] | ||
| 7 | No (23, 176, 58)-net in base 3 | [i] | ||
| 8 | No (23, 177, 58)-net in base 3 | [i] | ||
| 9 | No (23, 178, 58)-net in base 3 | [i] | ||
| 10 | No (23, 179, 58)-net in base 3 | [i] | ||
| 11 | No (23, 180, 58)-net in base 3 | [i] | ||
| 12 | No (23, 181, 58)-net in base 3 | [i] | ||
| 13 | No (23, 182, 58)-net in base 3 | [i] | ||
| 14 | No (23, 183, 58)-net in base 3 | [i] | ||
| 15 | No (23, 184, 58)-net in base 3 | [i] | ||
| 16 | No (23, 185, 58)-net in base 3 | [i] | ||
| 17 | No (23, 186, 58)-net in base 3 | [i] | ||
| 18 | No (23, 187, 58)-net in base 3 | [i] | ||
| 19 | No (23, 188, 58)-net in base 3 | [i] | ||
| 20 | No (23, 189, 58)-net in base 3 | [i] | ||
| 21 | No (23, 190, 58)-net in base 3 | [i] | ||
| 22 | No (23, 191, 58)-net in base 3 | [i] | ||
| 23 | No (23, 192, 58)-net in base 3 | [i] | ||
| 24 | No (23, 193, 58)-net in base 3 | [i] | ||
| 25 | No (23, 194, 58)-net in base 3 | [i] | ||
| 26 | No (23, 195, 58)-net in base 3 | [i] | ||
| 27 | No (23, 196, 58)-net in base 3 | [i] | ||
| 28 | No (23, 197, 58)-net in base 3 | [i] | ||
| 29 | No (23, 198, 58)-net in base 3 | [i] | ||
| 30 | No (23, 199, 58)-net in base 3 | [i] | ||
| 31 | No (23, 200, 58)-net in base 3 | [i] | ||
| 32 | No (23, 201, 58)-net in base 3 | [i] | ||
| 33 | No (23, 202, 58)-net in base 3 | [i] | ||
| 34 | No (23, 203, 58)-net in base 3 | [i] | ||
| 35 | No (23, 204, 58)-net in base 3 | [i] | ||
| 36 | No (23, 205, 58)-net in base 3 | [i] | ||
| 37 | No (23, 206, 58)-net in base 3 | [i] | ||
| 38 | No (23, 207, 58)-net in base 3 | [i] | ||
| 39 | No (23, 208, 58)-net in base 3 | [i] | ||
| 40 | No (23, 209, 58)-net in base 3 | [i] | ||
| 41 | No (23, 210, 58)-net in base 3 | [i] | ||
| 42 | No (23, 211, 58)-net in base 3 | [i] | ||
| 43 | No (23, 212, 58)-net in base 3 | [i] | ||
| 44 | No (23, 213, 58)-net in base 3 | [i] | ||
| 45 | No (23, 214, 58)-net in base 3 | [i] | ||
| 46 | No (23, 215, 58)-net in base 3 | [i] | ||
| 47 | No (23, 216, 58)-net in base 3 | [i] | ||
| 48 | No (23, 217, 58)-net in base 3 | [i] | ||
| 49 | No (23, 218, 58)-net in base 3 | [i] | ||
| 50 | No (23, 219, 58)-net in base 3 | [i] | ||
| 51 | No (23, 220, 58)-net in base 3 | [i] | ||
| 52 | No (23, 221, 58)-net in base 3 | [i] | ||
| 53 | No (23, 222, 58)-net in base 3 | [i] | ||