Information on Result #598984
There is no digital (29, 89, 96)-net over F3, because extracting embedded orthogonal array would yield linear OA(389, 96, F3, 60) (dual of [96, 7, 61]-code), but
- residual code [i] would yield linear OA(329, 35, F3, 20) (dual of [35, 6, 21]-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 (29, 90, 96)-net over F3 | [i] | m-Reduction | |
| 2 | No digital (29, 91, 96)-net over F3 | [i] | ||
| 3 | No digital (29, 92, 96)-net over F3 | [i] | ||
| 4 | No digital (29, 93, 96)-net over F3 | [i] | ||
| 5 | No digital (29, 94, 96)-net over F3 | [i] | ||
| 6 | No digital (29, 95, 96)-net over F3 | [i] | ||
| 7 | No digital (29, 96, 96)-net over F3 | [i] | ||
| 8 | No digital (29, 97, 96)-net over F3 | [i] | ||
| 9 | No digital (29, 98, 96)-net over F3 | [i] | ||
| 10 | No digital (29, 99, 96)-net over F3 | [i] | ||
| 11 | No digital (29, 100, 96)-net over F3 | [i] | ||
| 12 | No digital (29, 101, 96)-net over F3 | [i] | ||
| 13 | No digital (29, 102, 96)-net over F3 | [i] | ||
| 14 | No digital (29, 103, 96)-net over F3 | [i] | ||
| 15 | No digital (29, 104, 96)-net over F3 | [i] | ||
| 16 | No digital (29, 105, 96)-net over F3 | [i] | ||
| 17 | No digital (29, 106, 96)-net over F3 | [i] | ||
| 18 | No digital (29, 107, 96)-net over F3 | [i] | ||
| 19 | No digital (29, 108, 96)-net over F3 | [i] | ||
| 20 | No digital (29, 109, 96)-net over F3 | [i] | ||
| 21 | No digital (29, 110, 96)-net over F3 | [i] | ||
| 22 | No digital (29, 111, 96)-net over F3 | [i] | ||
| 23 | No digital (29, 112, 96)-net over F3 | [i] | ||
| 24 | No digital (29, 113, 96)-net over F3 | [i] | ||
| 25 | No digital (29, 114, 96)-net over F3 | [i] | ||
| 26 | No digital (29, 115, 96)-net over F3 | [i] | ||
| 27 | No digital (29, 116, 96)-net over F3 | [i] | ||
| 28 | No digital (29, 117, 96)-net over F3 | [i] | ||
| 29 | No digital (29, 118, 96)-net over F3 | [i] | ||
| 30 | No digital (29, 119, 96)-net over F3 | [i] | ||
| 31 | No digital (29, 120, 96)-net over F3 | [i] | ||
| 32 | No digital (29, 121, 96)-net over F3 | [i] | ||
| 33 | No digital (29, 122, 96)-net over F3 | [i] | ||
| 34 | No digital (29, 123, 96)-net over F3 | [i] | ||
| 35 | No digital (29, 124, 96)-net over F3 | [i] | ||
| 36 | No digital (29, 125, 96)-net over F3 | [i] | ||
| 37 | No digital (29, 126, 96)-net over F3 | [i] | ||
| 38 | No digital (29, 127, 96)-net over F3 | [i] | ||
| 39 | No digital (29, 128, 96)-net over F3 | [i] | ||
| 40 | No digital (29, 129, 96)-net over F3 | [i] | ||
| 41 | No digital (29, 130, 96)-net over F3 | [i] | ||
| 42 | No digital (29, 131, 96)-net over F3 | [i] | ||
| 43 | No digital (29, 132, 96)-net over F3 | [i] | ||
| 44 | No digital (29, 133, 96)-net over F3 | [i] | ||
| 45 | No digital (29, 134, 96)-net over F3 | [i] | ||
| 46 | No digital (29, 135, 96)-net over F3 | [i] | ||
| 47 | No digital (29, 136, 96)-net over F3 | [i] | ||
| 48 | No digital (29, 137, 96)-net over F3 | [i] | ||
| 49 | No digital (29, 138, 96)-net over F3 | [i] | ||
| 50 | No digital (29, 139, 96)-net over F3 | [i] | ||
| 51 | No digital (29, 140, 96)-net over F3 | [i] | ||
| 52 | No digital (29, 141, 96)-net over F3 | [i] | ||
| 53 | No digital (29, 142, 96)-net over F3 | [i] | ||
| 54 | No digital (29, 143, 96)-net over F3 | [i] | ||
| 55 | No digital (29, 144, 96)-net over F3 | [i] | ||
| 56 | No digital (29, 145, 96)-net over F3 | [i] | ||