Information on Result #599352
There is no digital (6, 26, 31)-net over F4, because extracting embedded orthogonal array would yield linear OA(426, 31, F4, 20) (dual of [31, 5, 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 (6, 27, 31)-net over F4 | [i] | m-Reduction | |
2 | No digital (6, 28, 31)-net over F4 | [i] | ||
3 | No digital (6, 29, 31)-net over F4 | [i] | ||
4 | No digital (6, 30, 31)-net over F4 | [i] | ||
5 | No digital (6, 31, 31)-net over F4 | [i] | ||
6 | No digital (6, 32, 31)-net over F4 | [i] | ||
7 | No digital (6, 33, 31)-net over F4 | [i] | ||
8 | No digital (6, 34, 31)-net over F4 | [i] | ||
9 | No digital (6, 35, 31)-net over F4 | [i] | ||
10 | No digital (6, 36, 31)-net over F4 | [i] | ||
11 | No digital (6, 37, 31)-net over F4 | [i] | ||
12 | No digital (6, 38, 31)-net over F4 | [i] | ||
13 | No digital (6, 39, 31)-net over F4 | [i] | ||
14 | No digital (6, 40, 31)-net over F4 | [i] | ||
15 | No digital (6, 41, 31)-net over F4 | [i] | ||
16 | No digital (6, 42, 31)-net over F4 | [i] | ||
17 | No digital (6, 43, 31)-net over F4 | [i] | ||
18 | No digital (6, 44, 31)-net over F4 | [i] | ||
19 | No digital (6, 45, 31)-net over F4 | [i] | ||
20 | No digital (6, 46, 31)-net over F4 | [i] | ||
21 | No digital (6, 47, 31)-net over F4 | [i] | ||
22 | No digital (6, 48, 31)-net over F4 | [i] | ||
23 | No digital (6, 49, 31)-net over F4 | [i] | ||
24 | No digital (6, 50, 31)-net over F4 | [i] | ||
25 | No digital (6, 51, 31)-net over F4 | [i] | ||
26 | No digital (6, 52, 31)-net over F4 | [i] | ||
27 | No digital (6, 53, 31)-net over F4 | [i] | ||
28 | No digital (6, 54, 31)-net over F4 | [i] |