Information on Result #522174
There is no (30, 212, 108)-net in base 4, because extracting embedded OOA would yield OOA(4212, 108, S4, 2, 182), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2772 669694 120814 859578 414184 143083 703436 437075 375816 575170 479580 614621 307805 625623 039974 406104 139578 097391 210961 403571 828974 157824 / 61 > 4212 [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 (30, 213, 108)-net in base 4 | [i] | m-Reduction | |
| 2 | No (30, 214, 108)-net in base 4 | [i] | ||
| 3 | No (30, 215, 108)-net in base 4 | [i] | ||
| 4 | No (30, 216, 108)-net in base 4 | [i] | ||
| 5 | No (30, 217, 108)-net in base 4 | [i] | ||
| 6 | No (30, 218, 108)-net in base 4 | [i] | ||
| 7 | No (30, 219, 108)-net in base 4 | [i] | ||
| 8 | No (30, 220, 108)-net in base 4 | [i] | ||
| 9 | No (30, 221, 108)-net in base 4 | [i] | ||
| 10 | No (30, 222, 108)-net in base 4 | [i] | ||
| 11 | No (30, 223, 108)-net in base 4 | [i] | ||
| 12 | No (30, 224, 108)-net in base 4 | [i] | ||
| 13 | No (30, 225, 108)-net in base 4 | [i] | ||
| 14 | No (30, 226, 108)-net in base 4 | [i] | ||
| 15 | No (30, 227, 108)-net in base 4 | [i] | ||
| 16 | No (30, 228, 108)-net in base 4 | [i] | ||
| 17 | No (30, 229, 108)-net in base 4 | [i] | ||
| 18 | No (30, 230, 108)-net in base 4 | [i] | ||
| 19 | No (30, 231, 108)-net in base 4 | [i] | ||
| 20 | No (30, 232, 108)-net in base 4 | [i] | ||
| 21 | No (30, 233, 108)-net in base 4 | [i] | ||
| 22 | No (30, 234, 108)-net in base 4 | [i] | ||
| 23 | No (30, 235, 108)-net in base 4 | [i] | ||
| 24 | No (30, 236, 108)-net in base 4 | [i] | ||
| 25 | No (30, 237, 108)-net in base 4 | [i] | ||
| 26 | No (30, 238, 108)-net in base 4 | [i] | ||
| 27 | No (30, 239, 108)-net in base 4 | [i] | ||
| 28 | No (30, 240, 108)-net in base 4 | [i] | ||
| 29 | No (30, 241, 108)-net in base 4 | [i] | ||
| 30 | No (30, 242, 108)-net in base 4 | [i] | ||
| 31 | No (30, 243, 108)-net in base 4 | [i] | ||
| 32 | No (30, 244, 108)-net in base 4 | [i] | ||
| 33 | No (30, 245, 108)-net in base 4 | [i] | ||
| 34 | No (30, 246, 108)-net in base 4 | [i] | ||
| 35 | No (30, 247, 108)-net in base 4 | [i] | ||
| 36 | No (30, 248, 108)-net in base 4 | [i] | ||
| 37 | No (30, 249, 108)-net in base 4 | [i] | ||
| 38 | No (30, 250, 108)-net in base 4 | [i] | ||
| 39 | No (30, 251, 108)-net in base 4 | [i] | ||
| 40 | No (30, 252, 108)-net in base 4 | [i] | ||
| 41 | No (30, 253, 108)-net in base 4 | [i] | ||
| 42 | No (30, 254, 108)-net in base 4 | [i] | ||
| 43 | No (30, 255, 108)-net in base 4 | [i] | ||
| 44 | No (30, 256, 108)-net in base 4 | [i] | ||
| 45 | No (30, 257, 108)-net in base 4 | [i] | ||
| 46 | No (30, 258, 108)-net in base 4 | [i] | ||
| 47 | No (30, 259, 108)-net in base 4 | [i] | ||
| 48 | No (30, 260, 108)-net in base 4 | [i] | ||