MinT - Information on Result #599793

Information on Result #599793

There is no digital (8, 57, 64)-net over F₇, because extracting embedded orthogonal array would yield linear OA(7⁵⁷, 64, F₇, 49) (dual of [64, 7, 50]-code), but

residual code [i] would yield linear OA(7⁸, 14, F₇, 7) (dual of [14, 6, 8]-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 (8, 58, 64)-net over F₇	[i]	m-Reduction
2	No digital (8, 59, 64)-net over F₇	[i]
3	No digital (8, 60, 64)-net over F₇	[i]
4	No digital (8, 61, 64)-net over F₇	[i]
5	No digital (8, 62, 64)-net over F₇	[i]
6	No digital (8, 63, 64)-net over F₇	[i]
7	No digital (8, 64, 64)-net over F₇	[i]
8	No digital (8, 65, 64)-net over F₇	[i]
9	No digital (8, 66, 64)-net over F₇	[i]
10	No digital (8, 67, 64)-net over F₇	[i]
11	No digital (8, 68, 64)-net over F₇	[i]
12	No digital (8, 69, 64)-net over F₇	[i]
13	No digital (8, 70, 64)-net over F₇	[i]
14	No digital (8, 71, 64)-net over F₇	[i]
15	No digital (8, 72, 64)-net over F₇	[i]
16	No digital (8, 73, 64)-net over F₇	[i]
17	No digital (8, 74, 64)-net over F₇	[i]
18	No digital (8, 75, 64)-net over F₇	[i]
19	No digital (8, 76, 64)-net over F₇	[i]
20	No digital (8, 77, 64)-net over F₇	[i]
21	No digital (8, 78, 64)-net over F₇	[i]
22	No digital (8, 79, 64)-net over F₇	[i]
23	No digital (8, 80, 64)-net over F₇	[i]
24	No digital (8, 81, 64)-net over F₇	[i]
25	No digital (8, 82, 64)-net over F₇	[i]
26	No digital (8, 83, 64)-net over F₇	[i]
27	No digital (8, 84, 64)-net over F₇	[i]
28	No digital (8, 85, 64)-net over F₇	[i]
29	No digital (8, 86, 64)-net over F₇	[i]
30	No digital (8, 87, 64)-net over F₇	[i]
31	No digital (8, 88, 64)-net over F₇	[i]
32	No digital (8, 89, 64)-net over F₇	[i]
33	No digital (8, 90, 64)-net over F₇	[i]
34	No digital (8, 91, 64)-net over F₇	[i]
35	No digital (8, 92, 64)-net over F₇	[i]
36	No digital (8, 93, 64)-net over F₇	[i]
37	No digital (8, 94, 64)-net over F₇	[i]
38	No digital (8, 95, 64)-net over F₇	[i]
39	No digital (8, 96, 64)-net over F₇	[i]
40	No digital (8, 97, 64)-net over F₇	[i]
41	No digital (8, 98, 64)-net over F₇	[i]
42	No digital (8, 99, 64)-net over F₇	[i]
43	No digital (8, 100, 64)-net over F₇	[i]
44	No digital (8, 101, 64)-net over F₇	[i]
45	No digital (8, 102, 64)-net over F₇	[i]
46	No digital (8, 103, 64)-net over F₇	[i]
47	No digital (8, 104, 64)-net over F₇	[i]
48	No digital (8, 105, 64)-net over F₇	[i]
49	No digital (8, 106, 64)-net over F₇	[i]
50	No digital (8, 107, 64)-net over F₇	[i]
51	No digital (8, 108, 64)-net over F₇	[i]
52	No digital (8, 109, 64)-net over F₇	[i]
53	No digital (8, 110, 64)-net over F₇	[i]