Information on Result #599434
There is no digital (40, 164, 170)-net over F4, because extracting embedded orthogonal array would yield linear OA(4164, 170, F4, 124) (dual of [170, 6, 125]-code), but
- residual code [i] would yield linear OA(440, 45, F4, 31) (dual of [45, 5, 32]-code), but
- “Liz†bound on codes from Brouwer’s database [i]
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 (40, 165, 170)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (40, 166, 170)-net over F4 | [i] | ||
| 3 | No digital (40, 167, 170)-net over F4 | [i] | ||
| 4 | No digital (40, 168, 170)-net over F4 | [i] | ||
| 5 | No digital (40, 169, 170)-net over F4 | [i] | ||
| 6 | No digital (40, 170, 170)-net over F4 | [i] | ||
| 7 | No digital (40, 171, 170)-net over F4 | [i] | ||
| 8 | No digital (40, 172, 170)-net over F4 | [i] | ||
| 9 | No digital (40, 173, 170)-net over F4 | [i] | ||
| 10 | No digital (40, 174, 170)-net over F4 | [i] | ||
| 11 | No digital (40, 175, 170)-net over F4 | [i] | ||
| 12 | No digital (40, 176, 170)-net over F4 | [i] | ||
| 13 | No digital (40, 177, 170)-net over F4 | [i] | ||
| 14 | No digital (40, 178, 170)-net over F4 | [i] | ||
| 15 | No digital (40, 179, 170)-net over F4 | [i] | ||
| 16 | No digital (40, 180, 170)-net over F4 | [i] | ||
| 17 | No digital (40, 181, 170)-net over F4 | [i] | ||
| 18 | No digital (40, 182, 170)-net over F4 | [i] | ||
| 19 | No digital (40, 183, 170)-net over F4 | [i] | ||
| 20 | No digital (40, 184, 170)-net over F4 | [i] | ||
| 21 | No digital (40, 185, 170)-net over F4 | [i] | ||
| 22 | No digital (40, 186, 170)-net over F4 | [i] | ||
| 23 | No digital (40, 187, 170)-net over F4 | [i] | ||
| 24 | No digital (40, 188, 170)-net over F4 | [i] | ||
| 25 | No digital (40, 189, 170)-net over F4 | [i] | ||
| 26 | No digital (40, 190, 170)-net over F4 | [i] | ||
| 27 | No digital (40, 191, 170)-net over F4 | [i] | ||
| 28 | No digital (40, 192, 170)-net over F4 | [i] | ||
| 29 | No digital (40, 193, 170)-net over F4 | [i] | ||
| 30 | No digital (40, 194, 170)-net over F4 | [i] | ||
| 31 | No digital (40, 195, 170)-net over F4 | [i] | ||
| 32 | No digital (40, 196, 170)-net over F4 | [i] | ||
| 33 | No digital (40, 197, 170)-net over F4 | [i] | ||
| 34 | No digital (40, 198, 170)-net over F4 | [i] | ||
| 35 | No digital (40, 199, 170)-net over F4 | [i] | ||
| 36 | No digital (40, 200, 170)-net over F4 | [i] | ||
| 37 | No digital (40, 201, 170)-net over F4 | [i] | ||
| 38 | No digital (40, 202, 170)-net over F4 | [i] | ||
| 39 | No digital (40, 203, 170)-net over F4 | [i] | ||
| 40 | No digital (40, 204, 170)-net over F4 | [i] | ||
| 41 | No digital (40, 205, 170)-net over F4 | [i] | ||
| 42 | No digital (40, 206, 170)-net over F4 | [i] | ||
| 43 | No digital (40, 207, 170)-net over F4 | [i] | ||
| 44 | No digital (40, 208, 170)-net over F4 | [i] | ||
| 45 | No digital (40, 209, 170)-net over F4 | [i] | ||
| 46 | No digital (40, 210, 170)-net over F4 | [i] | ||
| 47 | No digital (40, 211, 170)-net over F4 | [i] | ||
| 48 | No digital (40, 212, 170)-net over F4 | [i] | ||
| 49 | No digital (40, 213, 170)-net over F4 | [i] | ||
| 50 | No digital (40, 214, 170)-net over F4 | [i] | ||
| 51 | No digital (40, 215, 170)-net over F4 | [i] | ||
| 52 | No digital (40, 216, 170)-net over F4 | [i] | ||
| 53 | No digital (40, 217, 170)-net over F4 | [i] | ||
| 54 | No digital (40, 218, 170)-net over F4 | [i] | ||
| 55 | No digital (40, 219, 170)-net over F4 | [i] | ||
| 56 | No digital (40, 220, 170)-net over F4 | [i] | ||
| 57 | No digital (40, 221, 170)-net over F4 | [i] | ||
| 58 | No digital (40, 222, 170)-net over F4 | [i] | ||
| 59 | No digital (40, 223, 170)-net over F4 | [i] | ||
| 60 | No digital (40, 224, 170)-net over F4 | [i] | ||
| 61 | No digital (40, 225, 170)-net over F4 | [i] | ||
| 62 | No digital (40, 226, 170)-net over F4 | [i] | ||
| 63 | No digital (40, 227, 170)-net over F4 | [i] | ||
| 64 | No digital (40, 228, 170)-net over F4 | [i] | ||
| 65 | No digital (40, 229, 170)-net over F4 | [i] | ||
| 66 | No digital (40, 230, 170)-net over F4 | [i] | ||
| 67 | No digital (40, 231, 170)-net over F4 | [i] | ||
| 68 | No digital (40, 232, 170)-net over F4 | [i] | ||
| 69 | No digital (40, 233, 170)-net over F4 | [i] | ||
| 70 | No digital (40, 234, 170)-net over F4 | [i] | ||
| 71 | No digital (40, 235, 170)-net over F4 | [i] | ||
| 72 | No digital (40, 236, 170)-net over F4 | [i] | ||
| 73 | No digital (40, 237, 170)-net over F4 | [i] | ||
| 74 | No digital (40, 238, 170)-net over F4 | [i] | ||
| 75 | No digital (40, 239, 170)-net over F4 | [i] | ||
| 76 | No digital (40, 240, 170)-net over F4 | [i] | ||
| 77 | No digital (40, 241, 170)-net over F4 | [i] | ||
| 78 | No digital (40, 242, 170)-net over F4 | [i] | ||
| 79 | No digital (40, 243, 170)-net over F4 | [i] | ||
| 80 | No digital (40, 244, 170)-net over F4 | [i] | ||
| 81 | No digital (40, 245, 170)-net over F4 | [i] | ||
| 82 | No digital (40, 246, 170)-net over F4 | [i] | ||
| 83 | No digital (40, 247, 170)-net over F4 | [i] | ||
| 84 | No digital (40, 248, 170)-net over F4 | [i] | ||
| 85 | No digital (40, 249, 170)-net over F4 | [i] | ||
| 86 | No digital (40, 250, 170)-net over F4 | [i] | ||
| 87 | No digital (40, 251, 170)-net over F4 | [i] | ||
| 88 | No digital (40, 252, 170)-net over F4 | [i] | ||
| 89 | No digital (40, 253, 170)-net over F4 | [i] | ||
| 90 | No digital (40, 254, 170)-net over F4 | [i] | ||
| 91 | No digital (40, 255, 170)-net over F4 | [i] | ||
| 92 | No digital (40, 256, 170)-net over F4 | [i] | ||
| 93 | No digital (40, 257, 170)-net over F4 | [i] | ||
| 94 | No digital (40, 258, 170)-net over F4 | [i] | ||
| 95 | No digital (40, 259, 170)-net over F4 | [i] | ||
| 96 | No digital (40, 260, 170)-net over F4 | [i] | ||