Information on Result #599365

There is no digital (9, 41, 44)-net over F4, because extracting embedded orthogonal array would yield linear OA(441, 44, F4, 32) (dual of [44, 3, 33]-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:

ResultThis
result
only
Method
1No digital (9, 42, 44)-net over F4 [i]m-Reduction
2No digital (9, 43, 44)-net over F4 [i]
3No digital (9, 44, 44)-net over F4 [i]
4No digital (9, 45, 44)-net over F4 [i]
5No digital (9, 46, 44)-net over F4 [i]
6No digital (9, 47, 44)-net over F4 [i]
7No digital (9, 48, 44)-net over F4 [i]
8No digital (9, 49, 44)-net over F4 [i]
9No digital (9, 50, 44)-net over F4 [i]
10No digital (9, 51, 44)-net over F4 [i]
11No digital (9, 52, 44)-net over F4 [i]
12No digital (9, 53, 44)-net over F4 [i]
13No digital (9, 54, 44)-net over F4 [i]
14No digital (9, 55, 44)-net over F4 [i]
15No digital (9, 56, 44)-net over F4 [i]
16No digital (9, 57, 44)-net over F4 [i]
17No digital (9, 58, 44)-net over F4 [i]
18No digital (9, 59, 44)-net over F4 [i]
19No digital (9, 60, 44)-net over F4 [i]
20No digital (9, 61, 44)-net over F4 [i]
21No digital (9, 62, 44)-net over F4 [i]
22No digital (9, 63, 44)-net over F4 [i]
23No digital (9, 64, 44)-net over F4 [i]
24No digital (9, 65, 44)-net over F4 [i]
25No digital (9, 66, 44)-net over F4 [i]
26No digital (9, 67, 44)-net over F4 [i]
27No digital (9, 68, 44)-net over F4 [i]
28No digital (9, 69, 44)-net over F4 [i]
29No digital (9, 70, 44)-net over F4 [i]
30No digital (9, 71, 44)-net over F4 [i]
31No digital (9, 72, 44)-net over F4 [i]
32No digital (9, 73, 44)-net over F4 [i]
33No digital (9, 74, 44)-net over F4 [i]