Information on Result #521948
There is no (17, 185, 63)-net in base 4, because extracting embedded OOA would yield OOA(4185, 63, S4, 3, 168), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 413644 108018 789698 761718 438551 312351 957624 215974 124562 187933 744234 024911 175385 755930 374377 187512 542127 608643 452928 / 169 > 4185 [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 (17, 186, 63)-net in base 4 | [i] | m-Reduction | |
| 2 | No (17, 187, 63)-net in base 4 | [i] | ||
| 3 | No (17, 188, 63)-net in base 4 | [i] | ||
| 4 | No (17, 189, 63)-net in base 4 | [i] | ||
| 5 | No (17, 190, 63)-net in base 4 | [i] | ||
| 6 | No (17, 191, 63)-net in base 4 | [i] | ||
| 7 | No (17, 192, 63)-net in base 4 | [i] | ||
| 8 | No (17, 193, 63)-net in base 4 | [i] | ||
| 9 | No (17, 194, 63)-net in base 4 | [i] | ||
| 10 | No (17, 195, 63)-net in base 4 | [i] | ||
| 11 | No (17, 196, 63)-net in base 4 | [i] | ||
| 12 | No (17, 197, 63)-net in base 4 | [i] | ||
| 13 | No (17, 198, 63)-net in base 4 | [i] | ||
| 14 | No (17, 199, 63)-net in base 4 | [i] | ||
| 15 | No (17, 200, 63)-net in base 4 | [i] | ||
| 16 | No (17, 201, 63)-net in base 4 | [i] | ||
| 17 | No (17, 202, 63)-net in base 4 | [i] | ||
| 18 | No (17, 203, 63)-net in base 4 | [i] | ||
| 19 | No (17, 204, 63)-net in base 4 | [i] | ||
| 20 | No (17, 205, 63)-net in base 4 | [i] | ||
| 21 | No (17, 206, 63)-net in base 4 | [i] | ||
| 22 | No (17, 207, 63)-net in base 4 | [i] | ||
| 23 | No (17, 208, 63)-net in base 4 | [i] | ||
| 24 | No (17, 209, 63)-net in base 4 | [i] | ||
| 25 | No (17, 210, 63)-net in base 4 | [i] | ||
| 26 | No (17, 211, 63)-net in base 4 | [i] | ||
| 27 | No (17, 212, 63)-net in base 4 | [i] | ||
| 28 | No (17, 213, 63)-net in base 4 | [i] | ||
| 29 | No (17, 214, 63)-net in base 4 | [i] | ||
| 30 | No (17, 215, 63)-net in base 4 | [i] | ||
| 31 | No (17, 216, 63)-net in base 4 | [i] | ||
| 32 | No (17, 217, 63)-net in base 4 | [i] | ||
| 33 | No (17, 218, 63)-net in base 4 | [i] | ||
| 34 | No (17, 219, 63)-net in base 4 | [i] | ||
| 35 | No (17, 220, 63)-net in base 4 | [i] | ||
| 36 | No (17, 221, 63)-net in base 4 | [i] | ||
| 37 | No (17, 222, 63)-net in base 4 | [i] | ||
| 38 | No (17, 223, 63)-net in base 4 | [i] | ||
| 39 | No (17, 224, 63)-net in base 4 | [i] | ||
| 40 | No (17, 225, 63)-net in base 4 | [i] | ||
| 41 | No (17, 226, 63)-net in base 4 | [i] | ||
| 42 | No (17, 227, 63)-net in base 4 | [i] | ||
| 43 | No (17, 228, 63)-net in base 4 | [i] | ||
| 44 | No (17, 229, 63)-net in base 4 | [i] | ||
| 45 | No (17, 230, 63)-net in base 4 | [i] | ||
| 46 | No (17, 231, 63)-net in base 4 | [i] | ||
| 47 | No (17, 232, 63)-net in base 4 | [i] | ||
| 48 | No (17, 233, 63)-net in base 4 | [i] | ||
| 49 | No (17, 234, 63)-net in base 4 | [i] | ||
| 50 | No (17, 235, 63)-net in base 4 | [i] | ||
| 51 | No (17, 236, 63)-net in base 4 | [i] | ||
| 52 | No (17, 237, 63)-net in base 4 | [i] | ||
| 53 | No (17, 238, 63)-net in base 4 | [i] | ||
| 54 | No (17, 239, 63)-net in base 4 | [i] | ||
| 55 | No (17, 240, 63)-net in base 4 | [i] | ||
| 56 | No (17, 241, 63)-net in base 4 | [i] | ||
| 57 | No (17, 242, 63)-net in base 4 | [i] | ||
| 58 | No (17, 243, 63)-net in base 4 | [i] | ||
| 59 | No (17, 244, 63)-net in base 4 | [i] | ||
| 60 | No (17, 245, 63)-net in base 4 | [i] | ||
| 61 | No (17, 246, 63)-net in base 4 | [i] | ||
| 62 | No (17, 247, 63)-net in base 4 | [i] | ||
| 63 | No (17, 248, 63)-net in base 4 | [i] | ||
| 64 | No (17, 249, 63)-net in base 4 | [i] | ||
| 65 | No (17, 250, 63)-net in base 4 | [i] | ||
| 66 | No (17, 251, 63)-net in base 4 | [i] | ||
| 67 | No (17, 252, 63)-net in base 4 | [i] | ||
| 68 | No (17, 253, 63)-net in base 4 | [i] | ||
| 69 | No (17, 254, 63)-net in base 4 | [i] | ||
| 70 | No (17, 255, 63)-net in base 4 | [i] | ||
| 71 | No (17, 256, 63)-net in base 4 | [i] | ||
| 72 | No (17, 257, 63)-net in base 4 | [i] | ||
| 73 | No (17, 258, 63)-net in base 4 | [i] | ||
| 74 | No (17, 259, 63)-net in base 4 | [i] | ||
| 75 | No (17, 260, 63)-net in base 4 | [i] | ||
| 76 | No (17, m, 63)-net in base 4 for arbitrarily large m | [i] | m-Reduction from Arbitrarily Large Net | |