MinT - Information on Result #598986

Information on Result #598986

There is no digital (31, 94, 101)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3⁹⁴, 101, F₃, 63) (dual of [101, 7, 64]-code), but

residual code [i] would yield linear OA(3³¹, 37, F₃, 21) (dual of [37, 6, 22]-code), but
- â€œBouâ€ 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 (31, 95, 101)-net over F₃	[i]	m-Reduction
2	No digital (31, 96, 101)-net over F₃	[i]
3	No digital (31, 97, 101)-net over F₃	[i]
4	No digital (31, 98, 101)-net over F₃	[i]
5	No digital (31, 99, 101)-net over F₃	[i]
6	No digital (31, 100, 101)-net over F₃	[i]
7	No digital (31, 101, 101)-net over F₃	[i]
8	No digital (31, 102, 101)-net over F₃	[i]
9	No digital (31, 103, 101)-net over F₃	[i]
10	No digital (31, 104, 101)-net over F₃	[i]
11	No digital (31, 105, 101)-net over F₃	[i]
12	No digital (31, 106, 101)-net over F₃	[i]
13	No digital (31, 107, 101)-net over F₃	[i]
14	No digital (31, 108, 101)-net over F₃	[i]
15	No digital (31, 109, 101)-net over F₃	[i]
16	No digital (31, 110, 101)-net over F₃	[i]
17	No digital (31, 111, 101)-net over F₃	[i]
18	No digital (31, 112, 101)-net over F₃	[i]
19	No digital (31, 113, 101)-net over F₃	[i]
20	No digital (31, 114, 101)-net over F₃	[i]
21	No digital (31, 115, 101)-net over F₃	[i]
22	No digital (31, 116, 101)-net over F₃	[i]
23	No digital (31, 117, 101)-net over F₃	[i]
24	No digital (31, 118, 101)-net over F₃	[i]
25	No digital (31, 119, 101)-net over F₃	[i]
26	No digital (31, 120, 101)-net over F₃	[i]
27	No digital (31, 121, 101)-net over F₃	[i]
28	No digital (31, 122, 101)-net over F₃	[i]
29	No digital (31, 123, 101)-net over F₃	[i]
30	No digital (31, 124, 101)-net over F₃	[i]
31	No digital (31, 125, 101)-net over F₃	[i]
32	No digital (31, 126, 101)-net over F₃	[i]
33	No digital (31, 127, 101)-net over F₃	[i]
34	No digital (31, 128, 101)-net over F₃	[i]
35	No digital (31, 129, 101)-net over F₃	[i]
36	No digital (31, 130, 101)-net over F₃	[i]
37	No digital (31, 131, 101)-net over F₃	[i]
38	No digital (31, 132, 101)-net over F₃	[i]
39	No digital (31, 133, 101)-net over F₃	[i]
40	No digital (31, 134, 101)-net over F₃	[i]
41	No digital (31, 135, 101)-net over F₃	[i]
42	No digital (31, 136, 101)-net over F₃	[i]
43	No digital (31, 137, 101)-net over F₃	[i]
44	No digital (31, 138, 101)-net over F₃	[i]
45	No digital (31, 139, 101)-net over F₃	[i]
46	No digital (31, 140, 101)-net over F₃	[i]
47	No digital (31, 141, 101)-net over F₃	[i]
48	No digital (31, 142, 101)-net over F₃	[i]
49	No digital (31, 143, 101)-net over F₃	[i]
50	No digital (31, 144, 101)-net over F₃	[i]
51	No digital (31, 145, 101)-net over F₃	[i]
52	No digital (31, 146, 101)-net over F₃	[i]
53	No digital (31, 147, 101)-net over F₃	[i]
54	No digital (31, 148, 101)-net over F₃	[i]
55	No digital (31, 149, 101)-net over F₃	[i]
56	No digital (31, 150, 101)-net over F₃	[i]
57	No digital (31, 151, 101)-net over F₃	[i]
58	No digital (31, 152, 101)-net over F₃	[i]
59	No digital (31, 153, 101)-net over F₃	[i]
60	No digital (31, 154, 101)-net over F₃	[i]