Information on Result #522255
There is no (41, 175, 179)-net in base 4, because extracting embedded orthogonal array would yield OA(4175, 179, S4, 134), but
- the (dual) Plotkin bound shows that M ≥ 146783 911423 364576 743092 537299 333564 210980 159306 769991 919205 685720 763064 069663 027716 481187 399048 043939 495936 / 45 > 4175 [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 (41, 176, 179)-net in base 4 | [i] | m-Reduction | |
| 2 | No (41, 177, 179)-net in base 4 | [i] | ||
| 3 | No (41, 178, 179)-net in base 4 | [i] | ||
| 4 | No (41, 179, 179)-net in base 4 | [i] | ||
| 5 | No (41, 180, 179)-net in base 4 | [i] | ||
| 6 | No (41, 181, 179)-net in base 4 | [i] | ||
| 7 | No (41, 182, 179)-net in base 4 | [i] | ||
| 8 | No (41, 183, 179)-net in base 4 | [i] | ||
| 9 | No (41, 184, 179)-net in base 4 | [i] | ||
| 10 | No (41, 185, 179)-net in base 4 | [i] | ||
| 11 | No (41, 186, 179)-net in base 4 | [i] | ||
| 12 | No (41, 187, 179)-net in base 4 | [i] | ||
| 13 | No (41, 188, 179)-net in base 4 | [i] | ||
| 14 | No (41, 189, 179)-net in base 4 | [i] | ||
| 15 | No (41, 190, 179)-net in base 4 | [i] | ||
| 16 | No (41, 191, 179)-net in base 4 | [i] | ||
| 17 | No (41, 192, 179)-net in base 4 | [i] | ||
| 18 | No (41, 193, 179)-net in base 4 | [i] | ||
| 19 | No (41, 194, 179)-net in base 4 | [i] | ||
| 20 | No (41, 195, 179)-net in base 4 | [i] | ||
| 21 | No (41, 196, 179)-net in base 4 | [i] | ||
| 22 | No (41, 197, 179)-net in base 4 | [i] | ||
| 23 | No (41, 198, 179)-net in base 4 | [i] | ||
| 24 | No (41, 199, 179)-net in base 4 | [i] | ||
| 25 | No (41, 200, 179)-net in base 4 | [i] | ||
| 26 | No (41, 201, 179)-net in base 4 | [i] | ||
| 27 | No (41, 202, 179)-net in base 4 | [i] | ||
| 28 | No (41, 203, 179)-net in base 4 | [i] | ||
| 29 | No (41, 204, 179)-net in base 4 | [i] | ||
| 30 | No (41, 205, 179)-net in base 4 | [i] | ||
| 31 | No (41, 206, 179)-net in base 4 | [i] | ||
| 32 | No (41, 207, 179)-net in base 4 | [i] | ||
| 33 | No (41, 208, 179)-net in base 4 | [i] | ||
| 34 | No (41, 209, 179)-net in base 4 | [i] | ||
| 35 | No (41, 210, 179)-net in base 4 | [i] | ||
| 36 | No (41, 211, 179)-net in base 4 | [i] | ||
| 37 | No (41, 212, 179)-net in base 4 | [i] | ||
| 38 | No (41, 213, 179)-net in base 4 | [i] | ||
| 39 | No (41, 214, 179)-net in base 4 | [i] | ||
| 40 | No (41, 215, 179)-net in base 4 | [i] | ||
| 41 | No (41, 216, 179)-net in base 4 | [i] | ||
| 42 | No (41, 217, 179)-net in base 4 | [i] | ||
| 43 | No (41, 218, 179)-net in base 4 | [i] | ||
| 44 | No (41, 219, 179)-net in base 4 | [i] | ||
| 45 | No (41, 220, 179)-net in base 4 | [i] | ||
| 46 | No (41, 221, 179)-net in base 4 | [i] | ||
| 47 | No (41, 222, 179)-net in base 4 | [i] | ||
| 48 | No (41, 223, 179)-net in base 4 | [i] | ||
| 49 | No (41, 224, 179)-net in base 4 | [i] | ||
| 50 | No (41, 225, 179)-net in base 4 | [i] | ||
| 51 | No (41, 226, 179)-net in base 4 | [i] | ||
| 52 | No (41, 227, 179)-net in base 4 | [i] | ||
| 53 | No (41, 228, 179)-net in base 4 | [i] | ||
| 54 | No (41, 229, 179)-net in base 4 | [i] | ||
| 55 | No (41, 230, 179)-net in base 4 | [i] | ||
| 56 | No (41, 231, 179)-net in base 4 | [i] | ||
| 57 | No (41, 232, 179)-net in base 4 | [i] | ||
| 58 | No (41, 233, 179)-net in base 4 | [i] | ||
| 59 | No (41, 234, 179)-net in base 4 | [i] | ||
| 60 | No (41, 235, 179)-net in base 4 | [i] | ||
| 61 | No (41, 236, 179)-net in base 4 | [i] | ||
| 62 | No (41, 237, 179)-net in base 4 | [i] | ||
| 63 | No (41, 238, 179)-net in base 4 | [i] | ||
| 64 | No (41, 239, 179)-net in base 4 | [i] | ||
| 65 | No (41, 240, 179)-net in base 4 | [i] | ||
| 66 | No (41, 241, 179)-net in base 4 | [i] | ||
| 67 | No (41, 242, 179)-net in base 4 | [i] | ||
| 68 | No (41, 243, 179)-net in base 4 | [i] | ||
| 69 | No (41, 244, 179)-net in base 4 | [i] | ||
| 70 | No (41, 245, 179)-net in base 4 | [i] | ||
| 71 | No (41, 246, 179)-net in base 4 | [i] | ||
| 72 | No (41, 247, 179)-net in base 4 | [i] | ||
| 73 | No (41, 248, 179)-net in base 4 | [i] | ||
| 74 | No (41, 249, 179)-net in base 4 | [i] | ||
| 75 | No (41, 250, 179)-net in base 4 | [i] | ||
| 76 | No (41, 251, 179)-net in base 4 | [i] | ||
| 77 | No (41, 252, 179)-net in base 4 | [i] | ||
| 78 | No (41, 253, 179)-net in base 4 | [i] | ||
| 79 | No (41, 254, 179)-net in base 4 | [i] | ||
| 80 | No (41, 255, 179)-net in base 4 | [i] | ||
| 81 | No (41, 256, 179)-net in base 4 | [i] | ||
| 82 | No (41, 257, 179)-net in base 4 | [i] | ||
| 83 | No (41, 258, 179)-net in base 4 | [i] | ||
| 84 | No (41, 259, 179)-net in base 4 | [i] | ||
| 85 | No (41, 260, 179)-net in base 4 | [i] | ||