MinT - Information on Result #598989

Information on Result #598989

There is no digital (35, 107, 113)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3¹⁰⁷, 113, F₃, 72) (dual of [113, 6, 73]-code), but

residual code [i] would yield linear OA(3³⁵, 40, F₃, 24) (dual of [40, 5, 25]-code), but
- â€œvE1â€ 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 (35, 108, 113)-net over F₃	[i]	m-Reduction
2	No digital (35, 109, 113)-net over F₃	[i]
3	No digital (35, 110, 113)-net over F₃	[i]
4	No digital (35, 111, 113)-net over F₃	[i]
5	No digital (35, 112, 113)-net over F₃	[i]
6	No digital (35, 113, 113)-net over F₃	[i]
7	No digital (35, 114, 113)-net over F₃	[i]
8	No digital (35, 115, 113)-net over F₃	[i]
9	No digital (35, 116, 113)-net over F₃	[i]
10	No digital (35, 117, 113)-net over F₃	[i]
11	No digital (35, 118, 113)-net over F₃	[i]
12	No digital (35, 119, 113)-net over F₃	[i]
13	No digital (35, 120, 113)-net over F₃	[i]
14	No digital (35, 121, 113)-net over F₃	[i]
15	No digital (35, 122, 113)-net over F₃	[i]
16	No digital (35, 123, 113)-net over F₃	[i]
17	No digital (35, 124, 113)-net over F₃	[i]
18	No digital (35, 125, 113)-net over F₃	[i]
19	No digital (35, 126, 113)-net over F₃	[i]
20	No digital (35, 127, 113)-net over F₃	[i]
21	No digital (35, 128, 113)-net over F₃	[i]
22	No digital (35, 129, 113)-net over F₃	[i]
23	No digital (35, 130, 113)-net over F₃	[i]
24	No digital (35, 131, 113)-net over F₃	[i]
25	No digital (35, 132, 113)-net over F₃	[i]
26	No digital (35, 133, 113)-net over F₃	[i]
27	No digital (35, 134, 113)-net over F₃	[i]
28	No digital (35, 135, 113)-net over F₃	[i]
29	No digital (35, 136, 113)-net over F₃	[i]
30	No digital (35, 137, 113)-net over F₃	[i]
31	No digital (35, 138, 113)-net over F₃	[i]
32	No digital (35, 139, 113)-net over F₃	[i]
33	No digital (35, 140, 113)-net over F₃	[i]
34	No digital (35, 141, 113)-net over F₃	[i]
35	No digital (35, 142, 113)-net over F₃	[i]
36	No digital (35, 143, 113)-net over F₃	[i]
37	No digital (35, 144, 113)-net over F₃	[i]
38	No digital (35, 145, 113)-net over F₃	[i]
39	No digital (35, 146, 113)-net over F₃	[i]
40	No digital (35, 147, 113)-net over F₃	[i]
41	No digital (35, 148, 113)-net over F₃	[i]
42	No digital (35, 149, 113)-net over F₃	[i]
43	No digital (35, 150, 113)-net over F₃	[i]
44	No digital (35, 151, 113)-net over F₃	[i]
45	No digital (35, 152, 113)-net over F₃	[i]
46	No digital (35, 153, 113)-net over F₃	[i]
47	No digital (35, 154, 113)-net over F₃	[i]
48	No digital (35, 155, 113)-net over F₃	[i]
49	No digital (35, 156, 113)-net over F₃	[i]
50	No digital (35, 157, 113)-net over F₃	[i]
51	No digital (35, 158, 113)-net over F₃	[i]
52	No digital (35, 159, 113)-net over F₃	[i]
53	No digital (35, 160, 113)-net over F₃	[i]
54	No digital (35, 161, 113)-net over F₃	[i]
55	No digital (35, 162, 113)-net over F₃	[i]
56	No digital (35, 163, 113)-net over F₃	[i]
57	No digital (35, 164, 113)-net over F₃	[i]
58	No digital (35, 165, 113)-net over F₃	[i]
59	No digital (35, 166, 113)-net over F₃	[i]
60	No digital (35, 167, 113)-net over F₃	[i]
61	No digital (35, 168, 113)-net over F₃	[i]
62	No digital (35, 169, 113)-net over F₃	[i]
63	No digital (35, 170, 113)-net over F₃	[i]
64	No digital (35, 171, 113)-net over F₃	[i]
65	No digital (35, 172, 113)-net over F₃	[i]
66	No digital (35, 173, 113)-net over F₃	[i]