MinT - Information on Result #599794

Information on Result #599794

There is no digital (9, 65, 71)-net over F₇, because extracting embedded orthogonal array would yield linear OA(7⁶⁵, 71, F₇, 56) (dual of [71, 6, 57]-code), but

residual code [i] would yield linear OA(7⁹, 14, F₇, 8) (dual of [14, 5, 9]-code), but
- â€œMPaâ€ bound on codes from Brouwerâ€™s database [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 (9, 66, 71)-net over F₇	[i]	m-Reduction
2	No digital (9, 67, 71)-net over F₇	[i]
3	No digital (9, 68, 71)-net over F₇	[i]
4	No digital (9, 69, 71)-net over F₇	[i]
5	No digital (9, 70, 71)-net over F₇	[i]
6	No digital (9, 71, 71)-net over F₇	[i]
7	No digital (9, 72, 71)-net over F₇	[i]
8	No digital (9, 73, 71)-net over F₇	[i]
9	No digital (9, 74, 71)-net over F₇	[i]
10	No digital (9, 75, 71)-net over F₇	[i]
11	No digital (9, 76, 71)-net over F₇	[i]
12	No digital (9, 77, 71)-net over F₇	[i]
13	No digital (9, 78, 71)-net over F₇	[i]
14	No digital (9, 79, 71)-net over F₇	[i]
15	No digital (9, 80, 71)-net over F₇	[i]
16	No digital (9, 81, 71)-net over F₇	[i]
17	No digital (9, 82, 71)-net over F₇	[i]
18	No digital (9, 83, 71)-net over F₇	[i]
19	No digital (9, 84, 71)-net over F₇	[i]
20	No digital (9, 85, 71)-net over F₇	[i]
21	No digital (9, 86, 71)-net over F₇	[i]
22	No digital (9, 87, 71)-net over F₇	[i]
23	No digital (9, 88, 71)-net over F₇	[i]
24	No digital (9, 89, 71)-net over F₇	[i]
25	No digital (9, 90, 71)-net over F₇	[i]
26	No digital (9, 91, 71)-net over F₇	[i]
27	No digital (9, 92, 71)-net over F₇	[i]
28	No digital (9, 93, 71)-net over F₇	[i]
29	No digital (9, 94, 71)-net over F₇	[i]
30	No digital (9, 95, 71)-net over F₇	[i]
31	No digital (9, 96, 71)-net over F₇	[i]
32	No digital (9, 97, 71)-net over F₇	[i]
33	No digital (9, 98, 71)-net over F₇	[i]
34	No digital (9, 99, 71)-net over F₇	[i]
35	No digital (9, 100, 71)-net over F₇	[i]
36	No digital (9, 101, 71)-net over F₇	[i]
37	No digital (9, 102, 71)-net over F₇	[i]
38	No digital (9, 103, 71)-net over F₇	[i]
39	No digital (9, 104, 71)-net over F₇	[i]
40	No digital (9, 105, 71)-net over F₇	[i]
41	No digital (9, 106, 71)-net over F₇	[i]
42	No digital (9, 107, 71)-net over F₇	[i]
43	No digital (9, 108, 71)-net over F₇	[i]
44	No digital (9, 109, 71)-net over F₇	[i]
45	No digital (9, 110, 71)-net over F₇	[i]