Information on Result #598973
There is no digital (22, 67, 74)-net over F3, because extracting embedded orthogonal array would yield linear OA(367, 74, F3, 45) (dual of [74, 7, 46]-code), but
- residual code [i] would yield linear OA(322, 28, F3, 15) (dual of [28, 6, 16]-code), but
- “HHM†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 (22, 68, 74)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (22, 69, 74)-net over F3 | [i] | ||
| 3 | No digital (22, 70, 74)-net over F3 | [i] | ||
| 4 | No digital (22, 71, 74)-net over F3 | [i] | ||
| 5 | No digital (22, 72, 74)-net over F3 | [i] | ||
| 6 | No digital (22, 73, 74)-net over F3 | [i] | ||
| 7 | No digital (22, 74, 74)-net over F3 | [i] | ||
| 8 | No digital (22, 75, 74)-net over F3 | [i] | ||
| 9 | No digital (22, 76, 74)-net over F3 | [i] | ||
| 10 | No digital (22, 77, 74)-net over F3 | [i] | ||
| 11 | No digital (22, 78, 74)-net over F3 | [i] | ||
| 12 | No digital (22, 79, 74)-net over F3 | [i] | ||
| 13 | No digital (22, 80, 74)-net over F3 | [i] | ||
| 14 | No digital (22, 81, 74)-net over F3 | [i] | ||
| 15 | No digital (22, 82, 74)-net over F3 | [i] | ||
| 16 | No digital (22, 83, 74)-net over F3 | [i] | ||
| 17 | No digital (22, 84, 74)-net over F3 | [i] | ||
| 18 | No digital (22, 85, 74)-net over F3 | [i] | ||
| 19 | No digital (22, 86, 74)-net over F3 | [i] | ||
| 20 | No digital (22, 87, 74)-net over F3 | [i] | ||
| 21 | No digital (22, 88, 74)-net over F3 | [i] | ||
| 22 | No digital (22, 89, 74)-net over F3 | [i] | ||
| 23 | No digital (22, 90, 74)-net over F3 | [i] | ||
| 24 | No digital (22, 91, 74)-net over F3 | [i] | ||
| 25 | No digital (22, 92, 74)-net over F3 | [i] | ||
| 26 | No digital (22, 93, 74)-net over F3 | [i] | ||
| 27 | No digital (22, 94, 74)-net over F3 | [i] | ||
| 28 | No digital (22, 95, 74)-net over F3 | [i] | ||
| 29 | No digital (22, 96, 74)-net over F3 | [i] | ||
| 30 | No digital (22, 97, 74)-net over F3 | [i] | ||
| 31 | No digital (22, 98, 74)-net over F3 | [i] | ||
| 32 | No digital (22, 99, 74)-net over F3 | [i] | ||
| 33 | No digital (22, 100, 74)-net over F3 | [i] | ||
| 34 | No digital (22, 101, 74)-net over F3 | [i] | ||
| 35 | No digital (22, 102, 74)-net over F3 | [i] | ||
| 36 | No digital (22, 103, 74)-net over F3 | [i] | ||
| 37 | No digital (22, 104, 74)-net over F3 | [i] | ||
| 38 | No digital (22, 105, 74)-net over F3 | [i] | ||
| 39 | No digital (22, 106, 74)-net over F3 | [i] | ||
| 40 | No digital (22, 107, 74)-net over F3 | [i] | ||
| 41 | No digital (22, 108, 74)-net over F3 | [i] | ||
| 42 | No digital (22, 109, 74)-net over F3 | [i] | ||
| 43 | No digital (22, 110, 74)-net over F3 | [i] | ||
| 44 | No digital (22, 111, 74)-net over F3 | [i] | ||
| 45 | No digital (22, 112, 74)-net over F3 | [i] | ||
| 46 | No digital (22, 113, 74)-net over F3 | [i] | ||