MinT - Information on Result #599719

Information on Result #599719

There is no digital (7, 37, 43)-net over F₅, because extracting embedded orthogonal array would yield linear OA(5³⁷, 43, F₅, 30) (dual of [43, 6, 31]-code), but

residual code [i] would yield linear OA(5⁷, 12, F₅, 6) (dual of [12, 5, 7]-code), but
- a result by Dodunekov and Landjev [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 (7, 38, 43)-net over F₅	[i]	m-Reduction
2	No digital (7, 39, 43)-net over F₅	[i]
3	No digital (7, 40, 43)-net over F₅	[i]
4	No digital (7, 41, 43)-net over F₅	[i]
5	No digital (7, 42, 43)-net over F₅	[i]
6	No digital (7, 43, 43)-net over F₅	[i]
7	No digital (7, 44, 43)-net over F₅	[i]
8	No digital (7, 45, 43)-net over F₅	[i]
9	No digital (7, 46, 43)-net over F₅	[i]
10	No digital (7, 47, 43)-net over F₅	[i]
11	No digital (7, 48, 43)-net over F₅	[i]
12	No digital (7, 49, 43)-net over F₅	[i]
13	No digital (7, 50, 43)-net over F₅	[i]
14	No digital (7, 51, 43)-net over F₅	[i]
15	No digital (7, 52, 43)-net over F₅	[i]
16	No digital (7, 53, 43)-net over F₅	[i]
17	No digital (7, 54, 43)-net over F₅	[i]
18	No digital (7, 55, 43)-net over F₅	[i]
19	No digital (7, 56, 43)-net over F₅	[i]
20	No digital (7, 57, 43)-net over F₅	[i]
21	No digital (7, 58, 43)-net over F₅	[i]
22	No digital (7, 59, 43)-net over F₅	[i]
23	No digital (7, 60, 43)-net over F₅	[i]
24	No digital (7, 61, 43)-net over F₅	[i]
25	No digital (7, 62, 43)-net over F₅	[i]
26	No digital (7, 63, 43)-net over F₅	[i]
27	No digital (7, 64, 43)-net over F₅	[i]
28	No digital (7, 65, 43)-net over F₅	[i]
29	No digital (7, 66, 43)-net over F₅	[i]
30	No digital (7, 67, 43)-net over F₅	[i]
31	No digital (7, 68, 43)-net over F₅	[i]
32	No digital (7, 69, 43)-net over F₅	[i]
33	No digital (7, 70, 43)-net over F₅	[i]
34	No digital (7, 71, 43)-net over F₅	[i]
35	No digital (7, 72, 43)-net over F₅	[i]
36	No digital (7, 73, 43)-net over F₅	[i]
37	No digital (7, 74, 43)-net over F₅	[i]
38	No digital (7, 75, 43)-net over F₅	[i]
39	No digital (7, 76, 43)-net over F₅	[i]