Information on Result #521417
There is no (35, 174, 90)-net in base 3, because extracting embedded OOA would yield OOA(3174, 90, S3, 2, 139), but
- the LP bound with quadratic polynomials shows that M ≥ 17 868760 652734 092030 203763 292490 070040 223101 563524 799231 555922 829064 019870 587996 572499 / 140 > 3174 [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 (35, 175, 90)-net in base 3 | [i] | m-Reduction | |
| 2 | No (35, 176, 90)-net in base 3 | [i] | ||
| 3 | No (35, 177, 90)-net in base 3 | [i] | ||
| 4 | No (35, 178, 90)-net in base 3 | [i] | ||
| 5 | No (35, 179, 90)-net in base 3 | [i] | ||
| 6 | No (35, 180, 90)-net in base 3 | [i] | ||
| 7 | No (35, 181, 90)-net in base 3 | [i] | ||
| 8 | No (35, 182, 90)-net in base 3 | [i] | ||
| 9 | No (35, 183, 90)-net in base 3 | [i] | ||
| 10 | No (35, 184, 90)-net in base 3 | [i] | ||
| 11 | No (35, 185, 90)-net in base 3 | [i] | ||
| 12 | No (35, 186, 90)-net in base 3 | [i] | ||
| 13 | No (35, 187, 90)-net in base 3 | [i] | ||
| 14 | No (35, 188, 90)-net in base 3 | [i] | ||
| 15 | No (35, 189, 90)-net in base 3 | [i] | ||
| 16 | No (35, 190, 90)-net in base 3 | [i] | ||
| 17 | No (35, 191, 90)-net in base 3 | [i] | ||
| 18 | No (35, 192, 90)-net in base 3 | [i] | ||
| 19 | No (35, 193, 90)-net in base 3 | [i] | ||
| 20 | No (35, 194, 90)-net in base 3 | [i] | ||
| 21 | No (35, 195, 90)-net in base 3 | [i] | ||
| 22 | No (35, 196, 90)-net in base 3 | [i] | ||
| 23 | No (35, 197, 90)-net in base 3 | [i] | ||
| 24 | No (35, 198, 90)-net in base 3 | [i] | ||
| 25 | No (35, 199, 90)-net in base 3 | [i] | ||
| 26 | No (35, 200, 90)-net in base 3 | [i] | ||
| 27 | No (35, 201, 90)-net in base 3 | [i] | ||
| 28 | No (35, 202, 90)-net in base 3 | [i] | ||
| 29 | No (35, 203, 90)-net in base 3 | [i] | ||
| 30 | No (35, 204, 90)-net in base 3 | [i] | ||
| 31 | No (35, 205, 90)-net in base 3 | [i] | ||
| 32 | No (35, 206, 90)-net in base 3 | [i] | ||
| 33 | No (35, 207, 90)-net in base 3 | [i] | ||
| 34 | No (35, 208, 90)-net in base 3 | [i] | ||
| 35 | No (35, 209, 90)-net in base 3 | [i] | ||
| 36 | No (35, 210, 90)-net in base 3 | [i] | ||
| 37 | No (35, 211, 90)-net in base 3 | [i] | ||
| 38 | No (35, 212, 90)-net in base 3 | [i] | ||
| 39 | No (35, 213, 90)-net in base 3 | [i] | ||
| 40 | No (35, 214, 90)-net in base 3 | [i] | ||
| 41 | No (35, 215, 90)-net in base 3 | [i] | ||
| 42 | No (35, 216, 90)-net in base 3 | [i] | ||
| 43 | No (35, 217, 90)-net in base 3 | [i] | ||
| 44 | No (35, 218, 90)-net in base 3 | [i] | ||
| 45 | No (35, 219, 90)-net in base 3 | [i] | ||
| 46 | No (35, 220, 90)-net in base 3 | [i] | ||
| 47 | No (35, 221, 90)-net in base 3 | [i] | ||
| 48 | No (35, 222, 90)-net in base 3 | [i] | ||
| 49 | No (35, 223, 90)-net in base 3 | [i] | ||
| 50 | No (35, 224, 90)-net in base 3 | [i] | ||
| 51 | No (35, 225, 90)-net in base 3 | [i] | ||
| 52 | No (35, 226, 90)-net in base 3 | [i] | ||
| 53 | No (35, 227, 90)-net in base 3 | [i] | ||
| 54 | No (35, 228, 90)-net in base 3 | [i] | ||
| 55 | No (35, 229, 90)-net in base 3 | [i] | ||
| 56 | No (35, 230, 90)-net in base 3 | [i] | ||
| 57 | No (35, 231, 90)-net in base 3 | [i] | ||
| 58 | No (35, 232, 90)-net in base 3 | [i] | ||
| 59 | No (35, 233, 90)-net in base 3 | [i] | ||
| 60 | No (35, 234, 90)-net in base 3 | [i] | ||
| 61 | No (35, 235, 90)-net in base 3 | [i] | ||
| 62 | No (35, 236, 90)-net in base 3 | [i] | ||
| 63 | No (35, 237, 90)-net in base 3 | [i] | ||
| 64 | No (35, 238, 90)-net in base 3 | [i] | ||
| 65 | No (35, 239, 90)-net in base 3 | [i] | ||
| 66 | No (35, 240, 90)-net in base 3 | [i] | ||
| 67 | No (35, 241, 90)-net in base 3 | [i] | ||
| 68 | No (35, 242, 90)-net in base 3 | [i] | ||
| 69 | No (35, 243, 90)-net in base 3 | [i] | ||