Information on Result #522075
There is no (23, 167, 86)-net in base 4, because extracting embedded OOA would yield OOA(4167, 86, S4, 2, 144), but
- the LP bound with quadratic polynomials shows that M ≥ 5 389385 785865 341381 653845 487617 819044 230209 477720 875443 353098 774194 124190 027262 274822 736468 184804 622336 / 145 > 4167 [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, 168, 86)-net in base 4 | [i] | m-Reduction | |
| 2 | No (23, 169, 86)-net in base 4 | [i] | ||
| 3 | No (23, 170, 86)-net in base 4 | [i] | ||
| 4 | No (23, 171, 86)-net in base 4 | [i] | ||
| 5 | No (23, 172, 86)-net in base 4 | [i] | ||
| 6 | No (23, 173, 86)-net in base 4 | [i] | ||
| 7 | No (23, 174, 86)-net in base 4 | [i] | ||
| 8 | No (23, 175, 86)-net in base 4 | [i] | ||
| 9 | No (23, 176, 86)-net in base 4 | [i] | ||
| 10 | No (23, 177, 86)-net in base 4 | [i] | ||
| 11 | No (23, 178, 86)-net in base 4 | [i] | ||
| 12 | No (23, 179, 86)-net in base 4 | [i] | ||
| 13 | No (23, 180, 86)-net in base 4 | [i] | ||
| 14 | No (23, 181, 86)-net in base 4 | [i] | ||
| 15 | No (23, 182, 86)-net in base 4 | [i] | ||
| 16 | No (23, 183, 86)-net in base 4 | [i] | ||
| 17 | No (23, 184, 86)-net in base 4 | [i] | ||
| 18 | No (23, 185, 86)-net in base 4 | [i] | ||
| 19 | No (23, 186, 86)-net in base 4 | [i] | ||
| 20 | No (23, 187, 86)-net in base 4 | [i] | ||
| 21 | No (23, 188, 86)-net in base 4 | [i] | ||
| 22 | No (23, 189, 86)-net in base 4 | [i] | ||
| 23 | No (23, 190, 86)-net in base 4 | [i] | ||
| 24 | No (23, 191, 86)-net in base 4 | [i] | ||
| 25 | No (23, 192, 86)-net in base 4 | [i] | ||
| 26 | No (23, 193, 86)-net in base 4 | [i] | ||
| 27 | No (23, 194, 86)-net in base 4 | [i] | ||
| 28 | No (23, 195, 86)-net in base 4 | [i] | ||
| 29 | No (23, 196, 86)-net in base 4 | [i] | ||
| 30 | No (23, 197, 86)-net in base 4 | [i] | ||
| 31 | No (23, 198, 86)-net in base 4 | [i] | ||
| 32 | No (23, 199, 86)-net in base 4 | [i] | ||
| 33 | No (23, 200, 86)-net in base 4 | [i] | ||
| 34 | No (23, 201, 86)-net in base 4 | [i] | ||
| 35 | No (23, 202, 86)-net in base 4 | [i] | ||
| 36 | No (23, 203, 86)-net in base 4 | [i] | ||
| 37 | No (23, 204, 86)-net in base 4 | [i] | ||
| 38 | No (23, 205, 86)-net in base 4 | [i] | ||
| 39 | No (23, 206, 86)-net in base 4 | [i] | ||
| 40 | No (23, 207, 86)-net in base 4 | [i] | ||
| 41 | No (23, 208, 86)-net in base 4 | [i] | ||
| 42 | No (23, 209, 86)-net in base 4 | [i] | ||
| 43 | No (23, 210, 86)-net in base 4 | [i] | ||
| 44 | No (23, 211, 86)-net in base 4 | [i] | ||
| 45 | No (23, 212, 86)-net in base 4 | [i] | ||
| 46 | No (23, 213, 86)-net in base 4 | [i] | ||
| 47 | No (23, 214, 86)-net in base 4 | [i] | ||
| 48 | No (23, 215, 86)-net in base 4 | [i] | ||
| 49 | No (23, 216, 86)-net in base 4 | [i] | ||
| 50 | No (23, 217, 86)-net in base 4 | [i] | ||
| 51 | No (23, 218, 86)-net in base 4 | [i] | ||
| 52 | No (23, 219, 86)-net in base 4 | [i] | ||
| 53 | No (23, 220, 86)-net in base 4 | [i] | ||
| 54 | No (23, 221, 86)-net in base 4 | [i] | ||
| 55 | No (23, 222, 86)-net in base 4 | [i] | ||
| 56 | No (23, 223, 86)-net in base 4 | [i] | ||
| 57 | No (23, 224, 86)-net in base 4 | [i] | ||
| 58 | No (23, 225, 86)-net in base 4 | [i] | ||
| 59 | No (23, 226, 86)-net in base 4 | [i] | ||
| 60 | No (23, 227, 86)-net in base 4 | [i] | ||
| 61 | No (23, 228, 86)-net in base 4 | [i] | ||
| 62 | No (23, 229, 86)-net in base 4 | [i] | ||
| 63 | No (23, 230, 86)-net in base 4 | [i] | ||
| 64 | No (23, 231, 86)-net in base 4 | [i] | ||
| 65 | No (23, 232, 86)-net in base 4 | [i] | ||
| 66 | No (23, 233, 86)-net in base 4 | [i] | ||
| 67 | No (23, 234, 86)-net in base 4 | [i] | ||
| 68 | No (23, 235, 86)-net in base 4 | [i] | ||
| 69 | No (23, 236, 86)-net in base 4 | [i] | ||
| 70 | No (23, 237, 86)-net in base 4 | [i] | ||
| 71 | No (23, 238, 86)-net in base 4 | [i] | ||
| 72 | No (23, 239, 86)-net in base 4 | [i] | ||
| 73 | No (23, 240, 86)-net in base 4 | [i] | ||
| 74 | No (23, 241, 86)-net in base 4 | [i] | ||