Information on Result #599162
There is no digital (66, 201, 207)-net over F3, because extracting embedded orthogonal array would yield linear OA(3201, 207, F3, 135) (dual of [207, 6, 136]-code), but
- residual code [i] would yield linear OA(366, 71, F3, 45) (dual of [71, 5, 46]-code), but
- “HW1†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 (66, 202, 207)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (66, 203, 207)-net over F3 | [i] | ||
| 3 | No digital (66, 204, 207)-net over F3 | [i] | ||
| 4 | No digital (66, 205, 207)-net over F3 | [i] | ||
| 5 | No digital (66, 206, 207)-net over F3 | [i] | ||
| 6 | No digital (66, 207, 207)-net over F3 | [i] | ||
| 7 | No digital (66, 208, 207)-net over F3 | [i] | ||
| 8 | No digital (66, 209, 207)-net over F3 | [i] | ||
| 9 | No digital (66, 210, 207)-net over F3 | [i] | ||
| 10 | No digital (66, 211, 207)-net over F3 | [i] | ||
| 11 | No digital (66, 212, 207)-net over F3 | [i] | ||
| 12 | No digital (66, 213, 207)-net over F3 | [i] | ||
| 13 | No digital (66, 214, 207)-net over F3 | [i] | ||
| 14 | No digital (66, 215, 207)-net over F3 | [i] | ||
| 15 | No digital (66, 216, 207)-net over F3 | [i] | ||
| 16 | No digital (66, 217, 207)-net over F3 | [i] | ||
| 17 | No digital (66, 218, 207)-net over F3 | [i] | ||
| 18 | No digital (66, 219, 207)-net over F3 | [i] | ||
| 19 | No digital (66, 220, 207)-net over F3 | [i] | ||
| 20 | No digital (66, 221, 207)-net over F3 | [i] | ||
| 21 | No digital (66, 222, 207)-net over F3 | [i] | ||
| 22 | No digital (66, 223, 207)-net over F3 | [i] | ||
| 23 | No digital (66, 224, 207)-net over F3 | [i] | ||
| 24 | No digital (66, 225, 207)-net over F3 | [i] | ||
| 25 | No digital (66, 226, 207)-net over F3 | [i] | ||
| 26 | No digital (66, 227, 207)-net over F3 | [i] | ||
| 27 | No digital (66, 228, 207)-net over F3 | [i] | ||
| 28 | No digital (66, 229, 207)-net over F3 | [i] | ||
| 29 | No digital (66, 230, 207)-net over F3 | [i] | ||
| 30 | No digital (66, 231, 207)-net over F3 | [i] | ||
| 31 | No digital (66, 232, 207)-net over F3 | [i] | ||
| 32 | No digital (66, 233, 207)-net over F3 | [i] | ||
| 33 | No digital (66, 234, 207)-net over F3 | [i] | ||
| 34 | No digital (66, 235, 207)-net over F3 | [i] | ||
| 35 | No digital (66, 236, 207)-net over F3 | [i] | ||
| 36 | No digital (66, 237, 207)-net over F3 | [i] | ||
| 37 | No digital (66, 238, 207)-net over F3 | [i] | ||
| 38 | No digital (66, 239, 207)-net over F3 | [i] | ||
| 39 | No digital (66, 240, 207)-net over F3 | [i] | ||
| 40 | No digital (66, 241, 207)-net over F3 | [i] | ||
| 41 | No digital (66, 242, 207)-net over F3 | [i] | ||
| 42 | No digital (66, 243, 207)-net over F3 | [i] | ||
| 43 | No digital (66, 244, 207)-net over F3 | [i] | ||
| 44 | No digital (66, 245, 207)-net over F3 | [i] | ||
| 45 | No digital (66, 246, 207)-net over F3 | [i] | ||
| 46 | No digital (66, 247, 207)-net over F3 | [i] | ||
| 47 | No digital (66, 248, 207)-net over F3 | [i] | ||
| 48 | No digital (66, 249, 207)-net over F3 | [i] | ||
| 49 | No digital (66, 250, 207)-net over F3 | [i] | ||