Information on Result #522032
There is no (21, 154, 79)-net in base 4, because extracting embedded OOA would yield OOA(4154, 79, S4, 2, 133), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 45890 346474 863302 551455 544468 486471 212167 479972 506211 854330 972043 055501 921068 449316 899576 086528 / 67 > 4154 [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 (21, 155, 79)-net in base 4 | [i] | m-Reduction | |
| 2 | No (21, 156, 79)-net in base 4 | [i] | ||
| 3 | No (21, 157, 79)-net in base 4 | [i] | ||
| 4 | No (21, 158, 79)-net in base 4 | [i] | ||
| 5 | No (21, 159, 79)-net in base 4 | [i] | ||
| 6 | No (21, 160, 79)-net in base 4 | [i] | ||
| 7 | No (21, 161, 79)-net in base 4 | [i] | ||
| 8 | No (21, 162, 79)-net in base 4 | [i] | ||
| 9 | No (21, 163, 79)-net in base 4 | [i] | ||
| 10 | No (21, 164, 79)-net in base 4 | [i] | ||
| 11 | No (21, 165, 79)-net in base 4 | [i] | ||
| 12 | No (21, 166, 79)-net in base 4 | [i] | ||
| 13 | No (21, 167, 79)-net in base 4 | [i] | ||
| 14 | No (21, 168, 79)-net in base 4 | [i] | ||
| 15 | No (21, 169, 79)-net in base 4 | [i] | ||
| 16 | No (21, 170, 79)-net in base 4 | [i] | ||
| 17 | No (21, 171, 79)-net in base 4 | [i] | ||
| 18 | No (21, 172, 79)-net in base 4 | [i] | ||
| 19 | No (21, 173, 79)-net in base 4 | [i] | ||
| 20 | No (21, 174, 79)-net in base 4 | [i] | ||
| 21 | No (21, 175, 79)-net in base 4 | [i] | ||
| 22 | No (21, 176, 79)-net in base 4 | [i] | ||
| 23 | No (21, 177, 79)-net in base 4 | [i] | ||
| 24 | No (21, 178, 79)-net in base 4 | [i] | ||
| 25 | No (21, 179, 79)-net in base 4 | [i] | ||
| 26 | No (21, 180, 79)-net in base 4 | [i] | ||
| 27 | No (21, 181, 79)-net in base 4 | [i] | ||
| 28 | No (21, 182, 79)-net in base 4 | [i] | ||
| 29 | No (21, 183, 79)-net in base 4 | [i] | ||
| 30 | No (21, 184, 79)-net in base 4 | [i] | ||
| 31 | No (21, 185, 79)-net in base 4 | [i] | ||
| 32 | No (21, 186, 79)-net in base 4 | [i] | ||
| 33 | No (21, 187, 79)-net in base 4 | [i] | ||
| 34 | No (21, 188, 79)-net in base 4 | [i] | ||
| 35 | No (21, 189, 79)-net in base 4 | [i] | ||
| 36 | No (21, 190, 79)-net in base 4 | [i] | ||
| 37 | No (21, 191, 79)-net in base 4 | [i] | ||
| 38 | No (21, 192, 79)-net in base 4 | [i] | ||
| 39 | No (21, 193, 79)-net in base 4 | [i] | ||
| 40 | No (21, 194, 79)-net in base 4 | [i] | ||
| 41 | No (21, 195, 79)-net in base 4 | [i] | ||
| 42 | No (21, 196, 79)-net in base 4 | [i] | ||
| 43 | No (21, 197, 79)-net in base 4 | [i] | ||
| 44 | No (21, 198, 79)-net in base 4 | [i] | ||
| 45 | No (21, 199, 79)-net in base 4 | [i] | ||
| 46 | No (21, 200, 79)-net in base 4 | [i] | ||
| 47 | No (21, 201, 79)-net in base 4 | [i] | ||
| 48 | No (21, 202, 79)-net in base 4 | [i] | ||
| 49 | No (21, 203, 79)-net in base 4 | [i] | ||
| 50 | No (21, 204, 79)-net in base 4 | [i] | ||
| 51 | No (21, 205, 79)-net in base 4 | [i] | ||
| 52 | No (21, 206, 79)-net in base 4 | [i] | ||
| 53 | No (21, 207, 79)-net in base 4 | [i] | ||
| 54 | No (21, 208, 79)-net in base 4 | [i] | ||
| 55 | No (21, 209, 79)-net in base 4 | [i] | ||
| 56 | No (21, 210, 79)-net in base 4 | [i] | ||
| 57 | No (21, 211, 79)-net in base 4 | [i] | ||
| 58 | No (21, 212, 79)-net in base 4 | [i] | ||
| 59 | No (21, 213, 79)-net in base 4 | [i] | ||
| 60 | No (21, 214, 79)-net in base 4 | [i] | ||
| 61 | No (21, 215, 79)-net in base 4 | [i] | ||
| 62 | No (21, 216, 79)-net in base 4 | [i] | ||
| 63 | No (21, 217, 79)-net in base 4 | [i] | ||
| 64 | No (21, 218, 79)-net in base 4 | [i] | ||
| 65 | No (21, 219, 79)-net in base 4 | [i] | ||
| 66 | No (21, 220, 79)-net in base 4 | [i] | ||
| 67 | No (21, 221, 79)-net in base 4 | [i] | ||
| 68 | No (21, 222, 79)-net in base 4 | [i] | ||
| 69 | No (21, 223, 79)-net in base 4 | [i] | ||