MinT - Information on Result #599374

Information on Result #599374

There is no digital (12, 52, 56)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4⁵², 56, F₄, 40) (dual of [56, 4, 41]-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		Method
1	No digital (12, 53, 56)-net over F₄	[i]	m-Reduction
2	No digital (12, 54, 56)-net over F₄	[i]
3	No digital (12, 55, 56)-net over F₄	[i]
4	No digital (12, 56, 56)-net over F₄	[i]
5	No digital (12, 57, 56)-net over F₄	[i]
6	No digital (12, 58, 56)-net over F₄	[i]
7	No digital (12, 59, 56)-net over F₄	[i]
8	No digital (12, 60, 56)-net over F₄	[i]
9	No digital (12, 61, 56)-net over F₄	[i]
10	No digital (12, 62, 56)-net over F₄	[i]
11	No digital (12, 63, 56)-net over F₄	[i]
12	No digital (12, 64, 56)-net over F₄	[i]
13	No digital (12, 65, 56)-net over F₄	[i]
14	No digital (12, 66, 56)-net over F₄	[i]
15	No digital (12, 67, 56)-net over F₄	[i]
16	No digital (12, 68, 56)-net over F₄	[i]
17	No digital (12, 69, 56)-net over F₄	[i]
18	No digital (12, 70, 56)-net over F₄	[i]
19	No digital (12, 71, 56)-net over F₄	[i]
20	No digital (12, 72, 56)-net over F₄	[i]
21	No digital (12, 73, 56)-net over F₄	[i]
22	No digital (12, 74, 56)-net over F₄	[i]
23	No digital (12, 75, 56)-net over F₄	[i]
24	No digital (12, 76, 56)-net over F₄	[i]
25	No digital (12, 77, 56)-net over F₄	[i]
26	No digital (12, 78, 56)-net over F₄	[i]
27	No digital (12, 79, 56)-net over F₄	[i]
28	No digital (12, 80, 56)-net over F₄	[i]
29	No digital (12, 81, 56)-net over F₄	[i]
30	No digital (12, 82, 56)-net over F₄	[i]
31	No digital (12, 83, 56)-net over F₄	[i]
32	No digital (12, 84, 56)-net over F₄	[i]
33	No digital (12, 85, 56)-net over F₄	[i]
34	No digital (12, 86, 56)-net over F₄	[i]
35	No digital (12, 87, 56)-net over F₄	[i]
36	No digital (12, 88, 56)-net over F₄	[i]
37	No digital (12, 89, 56)-net over F₄	[i]
38	No digital (12, 90, 56)-net over F₄	[i]
39	No digital (12, 91, 56)-net over F₄	[i]
40	No digital (12, 92, 56)-net over F₄	[i]
41	No digital (12, 93, 56)-net over F₄	[i]
42	No digital (12, 94, 56)-net over F₄	[i]