Information on Result #598981
There is no digital (27, 81, 90)-net over F3, because extracting embedded orthogonal array would yield linear OA(381, 90, F3, 54) (dual of [90, 9, 55]-code), but
- residual code [i] would yield linear OA(327, 35, F3, 18) (dual of [35, 8, 19]-code), but
- residual code [i] would yield linear OA(39, 16, F3, 6) (dual of [16, 7, 7]-code), but
- “vE2†bound on codes from Brouwer’s database [i]
- residual code [i] would yield linear OA(39, 16, F3, 6) (dual of [16, 7, 7]-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 (27, 82, 90)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (27, 83, 90)-net over F3 | [i] | ||
| 3 | No digital (27, 84, 90)-net over F3 | [i] | ||
| 4 | No digital (27, 85, 90)-net over F3 | [i] | ||
| 5 | No digital (27, 86, 90)-net over F3 | [i] | ||
| 6 | No digital (27, 87, 90)-net over F3 | [i] | ||
| 7 | No digital (27, 88, 90)-net over F3 | [i] | ||
| 8 | No digital (27, 89, 90)-net over F3 | [i] | ||
| 9 | No digital (27, 90, 90)-net over F3 | [i] | ||
| 10 | No digital (27, 91, 90)-net over F3 | [i] | ||
| 11 | No digital (27, 92, 90)-net over F3 | [i] | ||
| 12 | No digital (27, 93, 90)-net over F3 | [i] | ||
| 13 | No digital (27, 94, 90)-net over F3 | [i] | ||
| 14 | No digital (27, 95, 90)-net over F3 | [i] | ||
| 15 | No digital (27, 96, 90)-net over F3 | [i] | ||
| 16 | No digital (27, 97, 90)-net over F3 | [i] | ||
| 17 | No digital (27, 98, 90)-net over F3 | [i] | ||
| 18 | No digital (27, 99, 90)-net over F3 | [i] | ||
| 19 | No digital (27, 100, 90)-net over F3 | [i] | ||
| 20 | No digital (27, 101, 90)-net over F3 | [i] | ||
| 21 | No digital (27, 102, 90)-net over F3 | [i] | ||
| 22 | No digital (27, 103, 90)-net over F3 | [i] | ||
| 23 | No digital (27, 104, 90)-net over F3 | [i] | ||
| 24 | No digital (27, 105, 90)-net over F3 | [i] | ||
| 25 | No digital (27, 106, 90)-net over F3 | [i] | ||
| 26 | No digital (27, 107, 90)-net over F3 | [i] | ||
| 27 | No digital (27, 108, 90)-net over F3 | [i] | ||
| 28 | No digital (27, 109, 90)-net over F3 | [i] | ||
| 29 | No digital (27, 110, 90)-net over F3 | [i] | ||
| 30 | No digital (27, 111, 90)-net over F3 | [i] | ||
| 31 | No digital (27, 112, 90)-net over F3 | [i] | ||
| 32 | No digital (27, 113, 90)-net over F3 | [i] | ||
| 33 | No digital (27, 114, 90)-net over F3 | [i] | ||
| 34 | No digital (27, 115, 90)-net over F3 | [i] | ||
| 35 | No digital (27, 116, 90)-net over F3 | [i] | ||
| 36 | No digital (27, 117, 90)-net over F3 | [i] | ||
| 37 | No digital (27, 118, 90)-net over F3 | [i] | ||
| 38 | No digital (27, 119, 90)-net over F3 | [i] | ||
| 39 | No digital (27, 120, 90)-net over F3 | [i] | ||
| 40 | No digital (27, 121, 90)-net over F3 | [i] | ||
| 41 | No digital (27, 122, 90)-net over F3 | [i] | ||
| 42 | No digital (27, 123, 90)-net over F3 | [i] | ||
| 43 | No digital (27, 124, 90)-net over F3 | [i] | ||
| 44 | No digital (27, 125, 90)-net over F3 | [i] | ||
| 45 | No digital (27, 126, 90)-net over F3 | [i] | ||
| 46 | No digital (27, 127, 90)-net over F3 | [i] | ||
| 47 | No digital (27, 128, 90)-net over F3 | [i] | ||
| 48 | No digital (27, 129, 90)-net over F3 | [i] | ||
| 49 | No digital (27, 130, 90)-net over F3 | [i] | ||
| 50 | No digital (27, 131, 90)-net over F3 | [i] | ||
| 51 | No digital (27, 132, 90)-net over F3 | [i] | ||
| 52 | No digital (27, 133, 90)-net over F3 | [i] | ||
| 53 | No digital (27, 134, 90)-net over F3 | [i] | ||
| 54 | No digital (27, 135, 90)-net over F3 | [i] | ||
| 55 | No digital (27, 136, 90)-net over F3 | [i] | ||