Information on Result #598970

There is no digital (20, 62, 69)-net over F3, because extracting embedded orthogonal array would yield linear OA(362, 69, F3, 42) (dual of [69, 7, 43]-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 (20, 63, 69)-net over F3 [i]m-Reduction
2No digital (20, 64, 69)-net over F3 [i]
3No digital (20, 65, 69)-net over F3 [i]
4No digital (20, 66, 69)-net over F3 [i]
5No digital (20, 67, 69)-net over F3 [i]
6No digital (20, 68, 69)-net over F3 [i]
7No digital (20, 69, 69)-net over F3 [i]
8No digital (20, 70, 69)-net over F3 [i]
9No digital (20, 71, 69)-net over F3 [i]
10No digital (20, 72, 69)-net over F3 [i]
11No digital (20, 73, 69)-net over F3 [i]
12No digital (20, 74, 69)-net over F3 [i]
13No digital (20, 75, 69)-net over F3 [i]
14No digital (20, 76, 69)-net over F3 [i]
15No digital (20, 77, 69)-net over F3 [i]
16No digital (20, 78, 69)-net over F3 [i]
17No digital (20, 79, 69)-net over F3 [i]
18No digital (20, 80, 69)-net over F3 [i]
19No digital (20, 81, 69)-net over F3 [i]
20No digital (20, 82, 69)-net over F3 [i]
21No digital (20, 83, 69)-net over F3 [i]
22No digital (20, 84, 69)-net over F3 [i]
23No digital (20, 85, 69)-net over F3 [i]
24No digital (20, 86, 69)-net over F3 [i]
25No digital (20, 87, 69)-net over F3 [i]
26No digital (20, 88, 69)-net over F3 [i]
27No digital (20, 89, 69)-net over F3 [i]
28No digital (20, 90, 69)-net over F3 [i]
29No digital (20, 91, 69)-net over F3 [i]
30No digital (20, 92, 69)-net over F3 [i]
31No digital (20, 93, 69)-net over F3 [i]
32No digital (20, 94, 69)-net over F3 [i]
33No digital (20, 95, 69)-net over F3 [i]
34No digital (20, 96, 69)-net over F3 [i]
35No digital (20, 97, 69)-net over F3 [i]
36No digital (20, 98, 69)-net over F3 [i]
37No digital (20, 99, 69)-net over F3 [i]
38No digital (20, 100, 69)-net over F3 [i]
39No digital (20, 101, 69)-net over F3 [i]
40No digital (20, 102, 69)-net over F3 [i]
41No digital (20, 103, 69)-net over F3 [i]
42No digital (20, 104, 69)-net over F3 [i]