MinT - Information on Result #599372

Information on Result #599372

There is no digital (11, 47, 51)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4⁴⁷, 51, F₄, 36) (dual of [51, 4, 37]-code), but

a result by Landjev, Maruta, and Hill [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		Method
1	No digital (11, 48, 51)-net over F₄	[i]	m-Reduction
2	No digital (11, 49, 51)-net over F₄	[i]
3	No digital (11, 50, 51)-net over F₄	[i]
4	No digital (11, 51, 51)-net over F₄	[i]
5	No digital (11, 52, 51)-net over F₄	[i]
6	No digital (11, 53, 51)-net over F₄	[i]
7	No digital (11, 54, 51)-net over F₄	[i]
8	No digital (11, 55, 51)-net over F₄	[i]
9	No digital (11, 56, 51)-net over F₄	[i]
10	No digital (11, 57, 51)-net over F₄	[i]
11	No digital (11, 58, 51)-net over F₄	[i]
12	No digital (11, 59, 51)-net over F₄	[i]
13	No digital (11, 60, 51)-net over F₄	[i]
14	No digital (11, 61, 51)-net over F₄	[i]
15	No digital (11, 62, 51)-net over F₄	[i]
16	No digital (11, 63, 51)-net over F₄	[i]
17	No digital (11, 64, 51)-net over F₄	[i]
18	No digital (11, 65, 51)-net over F₄	[i]
19	No digital (11, 66, 51)-net over F₄	[i]
20	No digital (11, 67, 51)-net over F₄	[i]
21	No digital (11, 68, 51)-net over F₄	[i]
22	No digital (11, 69, 51)-net over F₄	[i]
23	No digital (11, 70, 51)-net over F₄	[i]
24	No digital (11, 71, 51)-net over F₄	[i]
25	No digital (11, 72, 51)-net over F₄	[i]
26	No digital (11, 73, 51)-net over F₄	[i]
27	No digital (11, 74, 51)-net over F₄	[i]
28	No digital (11, 75, 51)-net over F₄	[i]
29	No digital (11, 76, 51)-net over F₄	[i]
30	No digital (11, 77, 51)-net over F₄	[i]
31	No digital (11, 78, 51)-net over F₄	[i]
32	No digital (11, 79, 51)-net over F₄	[i]
33	No digital (11, 80, 51)-net over F₄	[i]
34	No digital (11, 81, 51)-net over F₄	[i]
35	No digital (11, 82, 51)-net over F₄	[i]
36	No digital (11, 83, 51)-net over F₄	[i]
37	No digital (11, 84, 51)-net over F₄	[i]
38	No digital (11, 85, 51)-net over F₄	[i]
39	No digital (11, 86, 51)-net over F₄	[i]
40	No digital (11, 87, 51)-net over F₄	[i]