MinT - Information on Result #599733

Information on Result #599733

There is no digital (14, 74, 78)-net over F₅, because extracting embedded orthogonal array would yield linear OA(5⁷⁴, 78, F₅, 60) (dual of [78, 4, 61]-code), but

residual code [i] would yield linear OA(5¹⁴, 17, F₅, 12) (dual of [17, 3, 13]-code), but
- a result by 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 (14, 75, 78)-net over F₅	[i]	m-Reduction
2	No digital (14, 76, 78)-net over F₅	[i]
3	No digital (14, 77, 78)-net over F₅	[i]
4	No digital (14, 78, 78)-net over F₅	[i]
5	No digital (14, 79, 78)-net over F₅	[i]
6	No digital (14, 80, 78)-net over F₅	[i]
7	No digital (14, 81, 78)-net over F₅	[i]
8	No digital (14, 82, 78)-net over F₅	[i]
9	No digital (14, 83, 78)-net over F₅	[i]
10	No digital (14, 84, 78)-net over F₅	[i]
11	No digital (14, 85, 78)-net over F₅	[i]
12	No digital (14, 86, 78)-net over F₅	[i]
13	No digital (14, 87, 78)-net over F₅	[i]
14	No digital (14, 88, 78)-net over F₅	[i]
15	No digital (14, 89, 78)-net over F₅	[i]
16	No digital (14, 90, 78)-net over F₅	[i]
17	No digital (14, 91, 78)-net over F₅	[i]
18	No digital (14, 92, 78)-net over F₅	[i]
19	No digital (14, 93, 78)-net over F₅	[i]
20	No digital (14, 94, 78)-net over F₅	[i]
21	No digital (14, 95, 78)-net over F₅	[i]
22	No digital (14, 96, 78)-net over F₅	[i]
23	No digital (14, 97, 78)-net over F₅	[i]
24	No digital (14, 98, 78)-net over F₅	[i]
25	No digital (14, 99, 78)-net over F₅	[i]
26	No digital (14, 100, 78)-net over F₅	[i]
27	No digital (14, 101, 78)-net over F₅	[i]
28	No digital (14, 102, 78)-net over F₅	[i]
29	No digital (14, 103, 78)-net over F₅	[i]
30	No digital (14, 104, 78)-net over F₅	[i]
31	No digital (14, 105, 78)-net over F₅	[i]
32	No digital (14, 106, 78)-net over F₅	[i]
33	No digital (14, 107, 78)-net over F₅	[i]
34	No digital (14, 108, 78)-net over F₅	[i]
35	No digital (14, 109, 78)-net over F₅	[i]
36	No digital (14, 110, 78)-net over F₅	[i]
37	No digital (14, 111, 78)-net over F₅	[i]
38	No digital (14, 112, 78)-net over F₅	[i]
39	No digital (14, 113, 78)-net over F₅	[i]
40	No digital (14, 114, 78)-net over F₅	[i]
41	No digital (14, 115, 78)-net over F₅	[i]
42	No digital (14, 116, 78)-net over F₅	[i]
43	No digital (14, 117, 78)-net over F₅	[i]
44	No digital (14, 118, 78)-net over F₅	[i]
45	No digital (14, 119, 78)-net over F₅	[i]
46	No digital (14, 120, 78)-net over F₅	[i]
47	No digital (14, 121, 78)-net over F₅	[i]
48	No digital (14, 122, 78)-net over F₅	[i]
49	No digital (14, 123, 78)-net over F₅	[i]
50	No digital (14, 124, 78)-net over F₅	[i]
51	No digital (14, 125, 78)-net over F₅	[i]
52	No digital (14, 126, 78)-net over F₅	[i]
53	No digital (14, 127, 78)-net over F₅	[i]
54	No digital (14, 128, 78)-net over F₅	[i]
55	No digital (14, 129, 78)-net over F₅	[i]
56	No digital (14, 130, 78)-net over F₅	[i]
57	No digital (14, 131, 78)-net over F₅	[i]
58	No digital (14, 132, 78)-net over F₅	[i]
59	No digital (14, 133, 78)-net over F₅	[i]
60	No digital (14, 134, 78)-net over F₅	[i]
61	No digital (14, 135, 78)-net over F₅	[i]
62	No digital (14, 136, 78)-net over F₅	[i]
63	No digital (14, 137, 78)-net over F₅	[i]
64	No digital (14, 138, 78)-net over F₅	[i]