Information on Result #599044
There is no digital (51, 159, 163)-net over F3, because extracting embedded orthogonal array would yield linear OA(3159, 163, F3, 108) (dual of [163, 4, 109]-code), but
Mode: Bound (linear).
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 digital (51, 160, 163)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (51, 161, 163)-net over F3 | [i] | ||
| 3 | No digital (51, 162, 163)-net over F3 | [i] | ||
| 4 | No digital (51, 163, 163)-net over F3 | [i] | ||
| 5 | No digital (51, 164, 163)-net over F3 | [i] | ||
| 6 | No digital (51, 165, 163)-net over F3 | [i] | ||
| 7 | No digital (51, 166, 163)-net over F3 | [i] | ||
| 8 | No digital (51, 167, 163)-net over F3 | [i] | ||
| 9 | No digital (51, 168, 163)-net over F3 | [i] | ||
| 10 | No digital (51, 169, 163)-net over F3 | [i] | ||
| 11 | No digital (51, 170, 163)-net over F3 | [i] | ||
| 12 | No digital (51, 171, 163)-net over F3 | [i] | ||
| 13 | No digital (51, 172, 163)-net over F3 | [i] | ||
| 14 | No digital (51, 173, 163)-net over F3 | [i] | ||
| 15 | No digital (51, 174, 163)-net over F3 | [i] | ||
| 16 | No digital (51, 175, 163)-net over F3 | [i] | ||
| 17 | No digital (51, 176, 163)-net over F3 | [i] | ||
| 18 | No digital (51, 177, 163)-net over F3 | [i] | ||
| 19 | No digital (51, 178, 163)-net over F3 | [i] | ||
| 20 | No digital (51, 179, 163)-net over F3 | [i] | ||
| 21 | No digital (51, 180, 163)-net over F3 | [i] | ||
| 22 | No digital (51, 181, 163)-net over F3 | [i] | ||
| 23 | No digital (51, 182, 163)-net over F3 | [i] | ||
| 24 | No digital (51, 183, 163)-net over F3 | [i] | ||
| 25 | No digital (51, 184, 163)-net over F3 | [i] | ||
| 26 | No digital (51, 185, 163)-net over F3 | [i] | ||
| 27 | No digital (51, 186, 163)-net over F3 | [i] | ||
| 28 | No digital (51, 187, 163)-net over F3 | [i] | ||
| 29 | No digital (51, 188, 163)-net over F3 | [i] | ||
| 30 | No digital (51, 189, 163)-net over F3 | [i] | ||
| 31 | No digital (51, 190, 163)-net over F3 | [i] | ||
| 32 | No digital (51, 191, 163)-net over F3 | [i] | ||
| 33 | No digital (51, 192, 163)-net over F3 | [i] | ||
| 34 | No digital (51, 193, 163)-net over F3 | [i] | ||
| 35 | No digital (51, 194, 163)-net over F3 | [i] | ||
| 36 | No digital (51, 195, 163)-net over F3 | [i] | ||
| 37 | No digital (51, 196, 163)-net over F3 | [i] | ||
| 38 | No digital (51, 197, 163)-net over F3 | [i] | ||
| 39 | No digital (51, 198, 163)-net over F3 | [i] | ||
| 40 | No digital (51, 199, 163)-net over F3 | [i] | ||
| 41 | No digital (51, 200, 163)-net over F3 | [i] | ||
| 42 | No digital (51, 201, 163)-net over F3 | [i] | ||
| 43 | No digital (51, 202, 163)-net over F3 | [i] | ||
| 44 | No digital (51, 203, 163)-net over F3 | [i] | ||
| 45 | No digital (51, 204, 163)-net over F3 | [i] | ||
| 46 | No digital (51, 205, 163)-net over F3 | [i] | ||
| 47 | No digital (51, 206, 163)-net over F3 | [i] | ||
| 48 | No digital (51, 207, 163)-net over F3 | [i] | ||
| 49 | No digital (51, 208, 163)-net over F3 | [i] | ||
| 50 | No digital (51, 209, 163)-net over F3 | [i] | ||
| 51 | No digital (51, 210, 163)-net over F3 | [i] | ||
| 52 | No digital (51, 211, 163)-net over F3 | [i] | ||
| 53 | No digital (51, 212, 163)-net over F3 | [i] | ||
| 54 | No digital (51, 213, 163)-net over F3 | [i] | ||
| 55 | No digital (51, 214, 163)-net over F3 | [i] | ||
| 56 | No digital (51, 215, 163)-net over F3 | [i] | ||
| 57 | No digital (51, 216, 163)-net over F3 | [i] | ||
| 58 | No digital (51, 217, 163)-net over F3 | [i] | ||
| 59 | No digital (51, 218, 163)-net over F3 | [i] | ||
| 60 | No digital (51, 219, 163)-net over F3 | [i] | ||
| 61 | No digital (51, 220, 163)-net over F3 | [i] | ||
| 62 | No digital (51, 221, 163)-net over F3 | [i] | ||
| 63 | No digital (51, 222, 163)-net over F3 | [i] | ||
| 64 | No digital (51, 223, 163)-net over F3 | [i] | ||
| 65 | No digital (51, 224, 163)-net over F3 | [i] | ||
| 66 | No digital (51, 225, 163)-net over F3 | [i] | ||
| 67 | No digital (51, 226, 163)-net over F3 | [i] | ||
| 68 | No digital (51, 227, 163)-net over F3 | [i] | ||
| 69 | No digital (51, 228, 163)-net over F3 | [i] | ||
| 70 | No digital (51, 229, 163)-net over F3 | [i] | ||
| 71 | No digital (51, 230, 163)-net over F3 | [i] | ||
| 72 | No digital (51, 231, 163)-net over F3 | [i] | ||
| 73 | No digital (51, 232, 163)-net over F3 | [i] | ||
| 74 | No digital (51, 233, 163)-net over F3 | [i] | ||
| 75 | No digital (51, 234, 163)-net over F3 | [i] | ||
| 76 | No digital (51, 235, 163)-net over F3 | [i] | ||
| 77 | No digital (51, 236, 163)-net over F3 | [i] | ||
| 78 | No digital (51, 237, 163)-net over F3 | [i] | ||
| 79 | No digital (51, 238, 163)-net over F3 | [i] | ||
| 80 | No digital (51, 239, 163)-net over F3 | [i] | ||
| 81 | No digital (51, 240, 163)-net over F3 | [i] | ||
| 82 | No digital (51, 241, 163)-net over F3 | [i] | ||
| 83 | No digital (51, 242, 163)-net over F3 | [i] | ||
| 84 | No digital (51, 243, 163)-net over F3 | [i] | ||
| 85 | No digital (51, 244, 163)-net over F3 | [i] | ||
| 86 | No digital (51, 245, 163)-net over F3 | [i] | ||
| 87 | No digital (51, 246, 163)-net over F3 | [i] | ||