Information on Result #521537
There is no (52, 165, 170)-net in base 3, because extracting embedded orthogonal array would yield OA(3165, 170, S3, 113), but
- the (dual) Plotkin bound shows that M ≥ 143 341119 796678 074027 577337 316118 932770 382415 738332 565090 012937 927177 499182 473761 / 19 > 3165 [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 (52, 166, 170)-net in base 3 | [i] | m-Reduction | |
| 2 | No (52, 167, 170)-net in base 3 | [i] | ||
| 3 | No (52, 168, 170)-net in base 3 | [i] | ||
| 4 | No (52, 169, 170)-net in base 3 | [i] | ||
| 5 | No (52, 170, 170)-net in base 3 | [i] | ||
| 6 | No (52, 171, 170)-net in base 3 | [i] | ||
| 7 | No (52, 172, 170)-net in base 3 | [i] | ||
| 8 | No (52, 173, 170)-net in base 3 | [i] | ||
| 9 | No (52, 174, 170)-net in base 3 | [i] | ||
| 10 | No (52, 175, 170)-net in base 3 | [i] | ||
| 11 | No (52, 176, 170)-net in base 3 | [i] | ||
| 12 | No (52, 177, 170)-net in base 3 | [i] | ||
| 13 | No (52, 178, 170)-net in base 3 | [i] | ||
| 14 | No (52, 179, 170)-net in base 3 | [i] | ||
| 15 | No (52, 180, 170)-net in base 3 | [i] | ||
| 16 | No (52, 181, 170)-net in base 3 | [i] | ||
| 17 | No (52, 182, 170)-net in base 3 | [i] | ||
| 18 | No (52, 183, 170)-net in base 3 | [i] | ||
| 19 | No (52, 184, 170)-net in base 3 | [i] | ||
| 20 | No (52, 185, 170)-net in base 3 | [i] | ||
| 21 | No (52, 186, 170)-net in base 3 | [i] | ||
| 22 | No (52, 187, 170)-net in base 3 | [i] | ||
| 23 | No (52, 188, 170)-net in base 3 | [i] | ||
| 24 | No (52, 189, 170)-net in base 3 | [i] | ||
| 25 | No (52, 190, 170)-net in base 3 | [i] | ||
| 26 | No (52, 191, 170)-net in base 3 | [i] | ||
| 27 | No (52, 192, 170)-net in base 3 | [i] | ||
| 28 | No (52, 193, 170)-net in base 3 | [i] | ||
| 29 | No (52, 194, 170)-net in base 3 | [i] | ||
| 30 | No (52, 195, 170)-net in base 3 | [i] | ||
| 31 | No (52, 196, 170)-net in base 3 | [i] | ||
| 32 | No (52, 197, 170)-net in base 3 | [i] | ||
| 33 | No (52, 198, 170)-net in base 3 | [i] | ||
| 34 | No (52, 199, 170)-net in base 3 | [i] | ||
| 35 | No (52, 200, 170)-net in base 3 | [i] | ||
| 36 | No (52, 201, 170)-net in base 3 | [i] | ||
| 37 | No (52, 202, 170)-net in base 3 | [i] | ||
| 38 | No (52, 203, 170)-net in base 3 | [i] | ||
| 39 | No (52, 204, 170)-net in base 3 | [i] | ||
| 40 | No (52, 205, 170)-net in base 3 | [i] | ||
| 41 | No (52, 206, 170)-net in base 3 | [i] | ||
| 42 | No (52, 207, 170)-net in base 3 | [i] | ||
| 43 | No (52, 208, 170)-net in base 3 | [i] | ||
| 44 | No (52, 209, 170)-net in base 3 | [i] | ||
| 45 | No (52, 210, 170)-net in base 3 | [i] | ||
| 46 | No (52, 211, 170)-net in base 3 | [i] | ||
| 47 | No (52, 212, 170)-net in base 3 | [i] | ||
| 48 | No (52, 213, 170)-net in base 3 | [i] | ||
| 49 | No (52, 214, 170)-net in base 3 | [i] | ||
| 50 | No (52, 215, 170)-net in base 3 | [i] | ||
| 51 | No (52, 216, 170)-net in base 3 | [i] | ||
| 52 | No (52, 217, 170)-net in base 3 | [i] | ||
| 53 | No (52, 218, 170)-net in base 3 | [i] | ||
| 54 | No (52, 219, 170)-net in base 3 | [i] | ||
| 55 | No (52, 220, 170)-net in base 3 | [i] | ||
| 56 | No (52, 221, 170)-net in base 3 | [i] | ||
| 57 | No (52, 222, 170)-net in base 3 | [i] | ||
| 58 | No (52, 223, 170)-net in base 3 | [i] | ||
| 59 | No (52, 224, 170)-net in base 3 | [i] | ||
| 60 | No (52, 225, 170)-net in base 3 | [i] | ||
| 61 | No (52, 226, 170)-net in base 3 | [i] | ||
| 62 | No (52, 227, 170)-net in base 3 | [i] | ||
| 63 | No (52, 228, 170)-net in base 3 | [i] | ||
| 64 | No (52, 229, 170)-net in base 3 | [i] | ||
| 65 | No (52, 230, 170)-net in base 3 | [i] | ||
| 66 | No (52, 231, 170)-net in base 3 | [i] | ||
| 67 | No (52, 232, 170)-net in base 3 | [i] | ||
| 68 | No (52, 233, 170)-net in base 3 | [i] | ||
| 69 | No (52, 234, 170)-net in base 3 | [i] | ||
| 70 | No (52, 235, 170)-net in base 3 | [i] | ||
| 71 | No (52, 236, 170)-net in base 3 | [i] | ||
| 72 | No (52, 237, 170)-net in base 3 | [i] | ||
| 73 | No (52, 238, 170)-net in base 3 | [i] | ||
| 74 | No (52, 239, 170)-net in base 3 | [i] | ||
| 75 | No (52, 240, 170)-net in base 3 | [i] | ||
| 76 | No (52, 241, 170)-net in base 3 | [i] | ||
| 77 | No (52, 242, 170)-net in base 3 | [i] | ||
| 78 | No (52, 243, 170)-net in base 3 | [i] | ||
| 79 | No (52, 244, 170)-net in base 3 | [i] | ||
| 80 | No (52, 245, 170)-net in base 3 | [i] | ||
| 81 | No (52, 246, 170)-net in base 3 | [i] | ||
| 82 | No (52, 247, 170)-net in base 3 | [i] | ||
| 83 | No (52, 248, 170)-net in base 3 | [i] | ||
| 84 | No (52, 249, 170)-net in base 3 | [i] | ||
| 85 | No (52, 250, 170)-net in base 3 | [i] | ||