Information on Result #522219
There is no (35, 131, 145)-net in base 4, because extracting embedded orthogonal array would yield OA(4131, 145, S4, 96), but
- the linear programming bound shows that M ≥ 4 521509 394595 294317 880132 762660 256020 199722 572909 200327 946519 584732 236773 399422 238875 189248 / 570286 240909 > 4131 [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, 132, 145)-net in base 4 | [i] | m-Reduction | |
| 2 | No (35, 133, 145)-net in base 4 | [i] | ||
| 3 | No (35, 134, 145)-net in base 4 | [i] | ||
| 4 | No (35, 135, 145)-net in base 4 | [i] | ||
| 5 | No (35, 136, 145)-net in base 4 | [i] | ||
| 6 | No (35, 137, 145)-net in base 4 | [i] | ||
| 7 | No (35, 138, 145)-net in base 4 | [i] | ||
| 8 | No (35, 139, 145)-net in base 4 | [i] | ||
| 9 | No (35, 140, 145)-net in base 4 | [i] | ||
| 10 | No (35, 141, 145)-net in base 4 | [i] | ||
| 11 | No (35, 142, 145)-net in base 4 | [i] | ||
| 12 | No (35, 143, 145)-net in base 4 | [i] | ||
| 13 | No (35, 144, 145)-net in base 4 | [i] | ||
| 14 | No (35, 145, 145)-net in base 4 | [i] | ||
| 15 | No (35, 146, 145)-net in base 4 | [i] | ||
| 16 | No (35, 147, 145)-net in base 4 | [i] | ||
| 17 | No (35, 148, 145)-net in base 4 | [i] | ||
| 18 | No (35, 149, 145)-net in base 4 | [i] | ||
| 19 | No (35, 150, 145)-net in base 4 | [i] | ||
| 20 | No (35, 151, 145)-net in base 4 | [i] | ||
| 21 | No (35, 152, 145)-net in base 4 | [i] | ||
| 22 | No (35, 153, 145)-net in base 4 | [i] | ||
| 23 | No (35, 154, 145)-net in base 4 | [i] | ||
| 24 | No (35, 155, 145)-net in base 4 | [i] | ||
| 25 | No (35, 156, 145)-net in base 4 | [i] | ||
| 26 | No (35, 157, 145)-net in base 4 | [i] | ||
| 27 | No (35, 158, 145)-net in base 4 | [i] | ||
| 28 | No (35, 159, 145)-net in base 4 | [i] | ||
| 29 | No (35, 160, 145)-net in base 4 | [i] | ||
| 30 | No (35, 161, 145)-net in base 4 | [i] | ||
| 31 | No (35, 162, 145)-net in base 4 | [i] | ||
| 32 | No (35, 163, 145)-net in base 4 | [i] | ||
| 33 | No (35, 164, 145)-net in base 4 | [i] | ||
| 34 | No (35, 165, 145)-net in base 4 | [i] | ||
| 35 | No (35, 166, 145)-net in base 4 | [i] | ||
| 36 | No (35, 167, 145)-net in base 4 | [i] | ||
| 37 | No (35, 168, 145)-net in base 4 | [i] | ||
| 38 | No (35, 169, 145)-net in base 4 | [i] | ||
| 39 | No (35, 170, 145)-net in base 4 | [i] | ||
| 40 | No (35, 171, 145)-net in base 4 | [i] | ||
| 41 | No (35, 172, 145)-net in base 4 | [i] | ||
| 42 | No (35, 173, 145)-net in base 4 | [i] | ||
| 43 | No (35, 174, 145)-net in base 4 | [i] | ||
| 44 | No (35, 175, 145)-net in base 4 | [i] | ||
| 45 | No (35, 176, 145)-net in base 4 | [i] | ||
| 46 | No (35, 177, 145)-net in base 4 | [i] | ||
| 47 | No (35, 178, 145)-net in base 4 | [i] | ||
| 48 | No (35, 179, 145)-net in base 4 | [i] | ||
| 49 | No (35, 180, 145)-net in base 4 | [i] | ||
| 50 | No (35, 181, 145)-net in base 4 | [i] | ||
| 51 | No (35, 182, 145)-net in base 4 | [i] | ||
| 52 | No (35, 183, 145)-net in base 4 | [i] | ||
| 53 | No (35, 184, 145)-net in base 4 | [i] | ||
| 54 | No (35, 185, 145)-net in base 4 | [i] | ||
| 55 | No (35, 186, 145)-net in base 4 | [i] | ||
| 56 | No (35, 187, 145)-net in base 4 | [i] | ||
| 57 | No (35, 188, 145)-net in base 4 | [i] | ||
| 58 | No (35, 189, 145)-net in base 4 | [i] | ||
| 59 | No (35, 190, 145)-net in base 4 | [i] | ||
| 60 | No (35, 191, 145)-net in base 4 | [i] | ||
| 61 | No (35, 192, 145)-net in base 4 | [i] | ||
| 62 | No (35, 193, 145)-net in base 4 | [i] | ||
| 63 | No (35, 194, 145)-net in base 4 | [i] | ||
| 64 | No (35, 195, 145)-net in base 4 | [i] | ||
| 65 | No (35, 196, 145)-net in base 4 | [i] | ||
| 66 | No (35, 197, 145)-net in base 4 | [i] | ||
| 67 | No (35, 198, 145)-net in base 4 | [i] | ||
| 68 | No (35, 199, 145)-net in base 4 | [i] | ||
| 69 | No (35, 200, 145)-net in base 4 | [i] | ||
| 70 | No (35, 201, 145)-net in base 4 | [i] | ||
| 71 | No (35, 202, 145)-net in base 4 | [i] | ||
| 72 | No (35, 203, 145)-net in base 4 | [i] | ||
| 73 | No (35, 204, 145)-net in base 4 | [i] | ||
| 74 | No (35, 205, 145)-net in base 4 | [i] | ||
| 75 | No (35, 206, 145)-net in base 4 | [i] | ||
| 76 | No (35, 207, 145)-net in base 4 | [i] | ||
| 77 | No (35, 208, 145)-net in base 4 | [i] | ||
| 78 | No (35, 209, 145)-net in base 4 | [i] | ||
| 79 | No (35, 210, 145)-net in base 4 | [i] | ||
| 80 | No (35, 211, 145)-net in base 4 | [i] | ||
| 81 | No (35, 212, 145)-net in base 4 | [i] | ||
| 82 | No (35, 213, 145)-net in base 4 | [i] | ||
| 83 | No (35, 214, 145)-net in base 4 | [i] | ||
| 84 | No (35, 215, 145)-net in base 4 | [i] | ||
| 85 | No (35, 216, 145)-net in base 4 | [i] | ||
| 86 | No (35, 217, 145)-net in base 4 | [i] | ||
| 87 | No (35, 218, 145)-net in base 4 | [i] | ||
| 88 | No (35, 219, 145)-net in base 4 | [i] | ||
| 89 | No (35, 220, 145)-net in base 4 | [i] | ||
| 90 | No (35, 221, 145)-net in base 4 | [i] | ||
| 91 | No (35, 222, 145)-net in base 4 | [i] | ||
| 92 | No (35, 223, 145)-net in base 4 | [i] | ||
| 93 | No (35, 224, 145)-net in base 4 | [i] | ||
| 94 | No (35, 225, 145)-net in base 4 | [i] | ||
| 95 | No (35, 226, 145)-net in base 4 | [i] | ||
| 96 | No (35, 227, 145)-net in base 4 | [i] | ||
| 97 | No (35, 228, 145)-net in base 4 | [i] | ||
| 98 | No (35, 229, 145)-net in base 4 | [i] | ||
| 99 | No (35, 230, 145)-net in base 4 | [i] | ||
| 100 | No (35, 231, 145)-net in base 4 | [i] | ||
| 101 | No (35, 232, 145)-net in base 4 | [i] | ||
| 102 | No (35, 233, 145)-net in base 4 | [i] | ||
| 103 | No (35, 234, 145)-net in base 4 | [i] | ||
| 104 | No (35, 235, 145)-net in base 4 | [i] | ||
| 105 | No (35, 236, 145)-net in base 4 | [i] | ||
| 106 | No (35, 237, 145)-net in base 4 | [i] | ||
| 107 | No (35, 238, 145)-net in base 4 | [i] | ||
| 108 | No (35, 239, 145)-net in base 4 | [i] | ||
| 109 | No (35, 240, 145)-net in base 4 | [i] | ||
| 110 | No (35, 241, 145)-net in base 4 | [i] | ||
| 111 | No (35, 242, 145)-net in base 4 | [i] | ||
| 112 | No (35, 243, 145)-net in base 4 | [i] | ||
| 113 | No (35, 244, 145)-net in base 4 | [i] | ||
| 114 | No (35, 245, 145)-net in base 4 | [i] | ||