Information on Result #599427
There is no digital (39, 159, 166)-net over F4, because extracting embedded orthogonal array would yield linear OA(4159, 166, F4, 120) (dual of [166, 7, 121]-code), but
- residual code [i] would yield linear OA(439, 45, F4, 30) (dual of [45, 6, 31]-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 (39, 160, 166)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (39, 161, 166)-net over F4 | [i] | ||
| 3 | No digital (39, 162, 166)-net over F4 | [i] | ||
| 4 | No digital (39, 163, 166)-net over F4 | [i] | ||
| 5 | No digital (39, 164, 166)-net over F4 | [i] | ||
| 6 | No digital (39, 165, 166)-net over F4 | [i] | ||
| 7 | No digital (39, 166, 166)-net over F4 | [i] | ||
| 8 | No digital (39, 167, 166)-net over F4 | [i] | ||
| 9 | No digital (39, 168, 166)-net over F4 | [i] | ||
| 10 | No digital (39, 169, 166)-net over F4 | [i] | ||
| 11 | No digital (39, 170, 166)-net over F4 | [i] | ||
| 12 | No digital (39, 171, 166)-net over F4 | [i] | ||
| 13 | No digital (39, 172, 166)-net over F4 | [i] | ||
| 14 | No digital (39, 173, 166)-net over F4 | [i] | ||
| 15 | No digital (39, 174, 166)-net over F4 | [i] | ||
| 16 | No digital (39, 175, 166)-net over F4 | [i] | ||
| 17 | No digital (39, 176, 166)-net over F4 | [i] | ||
| 18 | No digital (39, 177, 166)-net over F4 | [i] | ||
| 19 | No digital (39, 178, 166)-net over F4 | [i] | ||
| 20 | No digital (39, 179, 166)-net over F4 | [i] | ||
| 21 | No digital (39, 180, 166)-net over F4 | [i] | ||
| 22 | No digital (39, 181, 166)-net over F4 | [i] | ||
| 23 | No digital (39, 182, 166)-net over F4 | [i] | ||
| 24 | No digital (39, 183, 166)-net over F4 | [i] | ||
| 25 | No digital (39, 184, 166)-net over F4 | [i] | ||
| 26 | No digital (39, 185, 166)-net over F4 | [i] | ||
| 27 | No digital (39, 186, 166)-net over F4 | [i] | ||
| 28 | No digital (39, 187, 166)-net over F4 | [i] | ||
| 29 | No digital (39, 188, 166)-net over F4 | [i] | ||
| 30 | No digital (39, 189, 166)-net over F4 | [i] | ||
| 31 | No digital (39, 190, 166)-net over F4 | [i] | ||
| 32 | No digital (39, 191, 166)-net over F4 | [i] | ||
| 33 | No digital (39, 192, 166)-net over F4 | [i] | ||
| 34 | No digital (39, 193, 166)-net over F4 | [i] | ||
| 35 | No digital (39, 194, 166)-net over F4 | [i] | ||
| 36 | No digital (39, 195, 166)-net over F4 | [i] | ||
| 37 | No digital (39, 196, 166)-net over F4 | [i] | ||
| 38 | No digital (39, 197, 166)-net over F4 | [i] | ||
| 39 | No digital (39, 198, 166)-net over F4 | [i] | ||
| 40 | No digital (39, 199, 166)-net over F4 | [i] | ||
| 41 | No digital (39, 200, 166)-net over F4 | [i] | ||
| 42 | No digital (39, 201, 166)-net over F4 | [i] | ||
| 43 | No digital (39, 202, 166)-net over F4 | [i] | ||
| 44 | No digital (39, 203, 166)-net over F4 | [i] | ||
| 45 | No digital (39, 204, 166)-net over F4 | [i] | ||
| 46 | No digital (39, 205, 166)-net over F4 | [i] | ||
| 47 | No digital (39, 206, 166)-net over F4 | [i] | ||
| 48 | No digital (39, 207, 166)-net over F4 | [i] | ||
| 49 | No digital (39, 208, 166)-net over F4 | [i] | ||
| 50 | No digital (39, 209, 166)-net over F4 | [i] | ||
| 51 | No digital (39, 210, 166)-net over F4 | [i] | ||
| 52 | No digital (39, 211, 166)-net over F4 | [i] | ||
| 53 | No digital (39, 212, 166)-net over F4 | [i] | ||
| 54 | No digital (39, 213, 166)-net over F4 | [i] | ||
| 55 | No digital (39, 214, 166)-net over F4 | [i] | ||
| 56 | No digital (39, 215, 166)-net over F4 | [i] | ||
| 57 | No digital (39, 216, 166)-net over F4 | [i] | ||
| 58 | No digital (39, 217, 166)-net over F4 | [i] | ||
| 59 | No digital (39, 218, 166)-net over F4 | [i] | ||
| 60 | No digital (39, 219, 166)-net over F4 | [i] | ||
| 61 | No digital (39, 220, 166)-net over F4 | [i] | ||
| 62 | No digital (39, 221, 166)-net over F4 | [i] | ||
| 63 | No digital (39, 222, 166)-net over F4 | [i] | ||
| 64 | No digital (39, 223, 166)-net over F4 | [i] | ||
| 65 | No digital (39, 224, 166)-net over F4 | [i] | ||
| 66 | No digital (39, 225, 166)-net over F4 | [i] | ||
| 67 | No digital (39, 226, 166)-net over F4 | [i] | ||
| 68 | No digital (39, 227, 166)-net over F4 | [i] | ||
| 69 | No digital (39, 228, 166)-net over F4 | [i] | ||
| 70 | No digital (39, 229, 166)-net over F4 | [i] | ||
| 71 | No digital (39, 230, 166)-net over F4 | [i] | ||
| 72 | No digital (39, 231, 166)-net over F4 | [i] | ||
| 73 | No digital (39, 232, 166)-net over F4 | [i] | ||
| 74 | No digital (39, 233, 166)-net over F4 | [i] | ||
| 75 | No digital (39, 234, 166)-net over F4 | [i] | ||
| 76 | No digital (39, 235, 166)-net over F4 | [i] | ||
| 77 | No digital (39, 236, 166)-net over F4 | [i] | ||
| 78 | No digital (39, 237, 166)-net over F4 | [i] | ||
| 79 | No digital (39, 238, 166)-net over F4 | [i] | ||
| 80 | No digital (39, 239, 166)-net over F4 | [i] | ||
| 81 | No digital (39, 240, 166)-net over F4 | [i] | ||
| 82 | No digital (39, 241, 166)-net over F4 | [i] | ||
| 83 | No digital (39, 242, 166)-net over F4 | [i] | ||
| 84 | No digital (39, 243, 166)-net over F4 | [i] | ||
| 85 | No digital (39, 244, 166)-net over F4 | [i] | ||
| 86 | No digital (39, 245, 166)-net over F4 | [i] | ||
| 87 | No digital (39, 246, 166)-net over F4 | [i] | ||
| 88 | No digital (39, 247, 166)-net over F4 | [i] | ||
| 89 | No digital (39, 248, 166)-net over F4 | [i] | ||
| 90 | No digital (39, 249, 166)-net over F4 | [i] | ||
| 91 | No digital (39, 250, 166)-net over F4 | [i] | ||
| 92 | No digital (39, 251, 166)-net over F4 | [i] | ||
| 93 | No digital (39, 252, 166)-net over F4 | [i] | ||
| 94 | No digital (39, 253, 166)-net over F4 | [i] | ||
| 95 | No digital (39, 254, 166)-net over F4 | [i] | ||
| 96 | No digital (39, 255, 166)-net over F4 | [i] | ||
| 97 | No digital (39, 256, 166)-net over F4 | [i] | ||
| 98 | No digital (39, 257, 166)-net over F4 | [i] | ||
| 99 | No digital (39, 258, 166)-net over F4 | [i] | ||
| 100 | No digital (39, 259, 166)-net over F4 | [i] | ||
| 101 | No digital (39, 260, 166)-net over F4 | [i] | ||