Information on Result #599385
There is no digital (18, 74, 81)-net over F4, because extracting embedded orthogonal array would yield linear OA(474, 81, F4, 56) (dual of [81, 7, 57]-code), but
- residual code [i] would yield linear OA(418, 24, F4, 14) (dual of [24, 6, 15]-code), but
- “Bou†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 (18, 75, 81)-net over F4 | [i] | m-Reduction | |
| 2 | No digital (18, 76, 81)-net over F4 | [i] | ||
| 3 | No digital (18, 77, 81)-net over F4 | [i] | ||
| 4 | No digital (18, 78, 81)-net over F4 | [i] | ||
| 5 | No digital (18, 79, 81)-net over F4 | [i] | ||
| 6 | No digital (18, 80, 81)-net over F4 | [i] | ||
| 7 | No digital (18, 81, 81)-net over F4 | [i] | ||
| 8 | No digital (18, 82, 81)-net over F4 | [i] | ||
| 9 | No digital (18, 83, 81)-net over F4 | [i] | ||
| 10 | No digital (18, 84, 81)-net over F4 | [i] | ||
| 11 | No digital (18, 85, 81)-net over F4 | [i] | ||
| 12 | No digital (18, 86, 81)-net over F4 | [i] | ||
| 13 | No digital (18, 87, 81)-net over F4 | [i] | ||
| 14 | No digital (18, 88, 81)-net over F4 | [i] | ||
| 15 | No digital (18, 89, 81)-net over F4 | [i] | ||
| 16 | No digital (18, 90, 81)-net over F4 | [i] | ||
| 17 | No digital (18, 91, 81)-net over F4 | [i] | ||
| 18 | No digital (18, 92, 81)-net over F4 | [i] | ||
| 19 | No digital (18, 93, 81)-net over F4 | [i] | ||
| 20 | No digital (18, 94, 81)-net over F4 | [i] | ||
| 21 | No digital (18, 95, 81)-net over F4 | [i] | ||
| 22 | No digital (18, 96, 81)-net over F4 | [i] | ||
| 23 | No digital (18, 97, 81)-net over F4 | [i] | ||
| 24 | No digital (18, 98, 81)-net over F4 | [i] | ||
| 25 | No digital (18, 99, 81)-net over F4 | [i] | ||
| 26 | No digital (18, 100, 81)-net over F4 | [i] | ||
| 27 | No digital (18, 101, 81)-net over F4 | [i] | ||
| 28 | No digital (18, 102, 81)-net over F4 | [i] | ||
| 29 | No digital (18, 103, 81)-net over F4 | [i] | ||
| 30 | No digital (18, 104, 81)-net over F4 | [i] | ||
| 31 | No digital (18, 105, 81)-net over F4 | [i] | ||
| 32 | No digital (18, 106, 81)-net over F4 | [i] | ||
| 33 | No digital (18, 107, 81)-net over F4 | [i] | ||
| 34 | No digital (18, 108, 81)-net over F4 | [i] | ||
| 35 | No digital (18, 109, 81)-net over F4 | [i] | ||
| 36 | No digital (18, 110, 81)-net over F4 | [i] | ||
| 37 | No digital (18, 111, 81)-net over F4 | [i] | ||
| 38 | No digital (18, 112, 81)-net over F4 | [i] | ||
| 39 | No digital (18, 113, 81)-net over F4 | [i] | ||
| 40 | No digital (18, 114, 81)-net over F4 | [i] | ||
| 41 | No digital (18, 115, 81)-net over F4 | [i] | ||
| 42 | No digital (18, 116, 81)-net over F4 | [i] | ||
| 43 | No digital (18, 117, 81)-net over F4 | [i] | ||
| 44 | No digital (18, 118, 81)-net over F4 | [i] | ||
| 45 | No digital (18, 119, 81)-net over F4 | [i] | ||
| 46 | No digital (18, 120, 81)-net over F4 | [i] | ||
| 47 | No digital (18, 121, 81)-net over F4 | [i] | ||
| 48 | No digital (18, 122, 81)-net over F4 | [i] | ||
| 49 | No digital (18, 123, 81)-net over F4 | [i] | ||
| 50 | No digital (18, 124, 81)-net over F4 | [i] | ||
| 51 | No digital (18, 125, 81)-net over F4 | [i] | ||
| 52 | No digital (18, 126, 81)-net over F4 | [i] | ||
| 53 | No digital (18, 127, 81)-net over F4 | [i] | ||
| 54 | No digital (18, 128, 81)-net over F4 | [i] | ||
| 55 | No digital (18, 129, 81)-net over F4 | [i] | ||
| 56 | No digital (18, 130, 81)-net over F4 | [i] | ||
| 57 | No digital (18, 131, 81)-net over F4 | [i] | ||
| 58 | No digital (18, 132, 81)-net over F4 | [i] | ||
| 59 | No digital (18, 133, 81)-net over F4 | [i] | ||