MinT - Information on Result #599485

Information on Result #599485

There is no digital (47, 191, 196)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4¹⁹¹, 196, F₄, 144) (dual of [196, 5, 145]-code), but

residual code [i] would yield linear OA(4⁴⁷, 51, F₄, 36) (dual of [51, 4, 37]-code), but
- a result by Landjev, Maruta, and 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 (47, 192, 196)-net over F₄	[i]	m-Reduction
2	No digital (47, 193, 196)-net over F₄	[i]
3	No digital (47, 194, 196)-net over F₄	[i]
4	No digital (47, 195, 196)-net over F₄	[i]
5	No digital (47, 196, 196)-net over F₄	[i]
6	No digital (47, 197, 196)-net over F₄	[i]
7	No digital (47, 198, 196)-net over F₄	[i]
8	No digital (47, 199, 196)-net over F₄	[i]
9	No digital (47, 200, 196)-net over F₄	[i]
10	No digital (47, 201, 196)-net over F₄	[i]
11	No digital (47, 202, 196)-net over F₄	[i]
12	No digital (47, 203, 196)-net over F₄	[i]
13	No digital (47, 204, 196)-net over F₄	[i]
14	No digital (47, 205, 196)-net over F₄	[i]
15	No digital (47, 206, 196)-net over F₄	[i]
16	No digital (47, 207, 196)-net over F₄	[i]
17	No digital (47, 208, 196)-net over F₄	[i]
18	No digital (47, 209, 196)-net over F₄	[i]
19	No digital (47, 210, 196)-net over F₄	[i]
20	No digital (47, 211, 196)-net over F₄	[i]
21	No digital (47, 212, 196)-net over F₄	[i]
22	No digital (47, 213, 196)-net over F₄	[i]
23	No digital (47, 214, 196)-net over F₄	[i]
24	No digital (47, 215, 196)-net over F₄	[i]
25	No digital (47, 216, 196)-net over F₄	[i]
26	No digital (47, 217, 196)-net over F₄	[i]
27	No digital (47, 218, 196)-net over F₄	[i]
28	No digital (47, 219, 196)-net over F₄	[i]
29	No digital (47, 220, 196)-net over F₄	[i]
30	No digital (47, 221, 196)-net over F₄	[i]
31	No digital (47, 222, 196)-net over F₄	[i]
32	No digital (47, 223, 196)-net over F₄	[i]
33	No digital (47, 224, 196)-net over F₄	[i]
34	No digital (47, 225, 196)-net over F₄	[i]
35	No digital (47, 226, 196)-net over F₄	[i]
36	No digital (47, 227, 196)-net over F₄	[i]
37	No digital (47, 228, 196)-net over F₄	[i]
38	No digital (47, 229, 196)-net over F₄	[i]
39	No digital (47, 230, 196)-net over F₄	[i]
40	No digital (47, 231, 196)-net over F₄	[i]
41	No digital (47, 232, 196)-net over F₄	[i]
42	No digital (47, 233, 196)-net over F₄	[i]
43	No digital (47, 234, 196)-net over F₄	[i]
44	No digital (47, 235, 196)-net over F₄	[i]
45	No digital (47, 236, 196)-net over F₄	[i]
46	No digital (47, 237, 196)-net over F₄	[i]
47	No digital (47, 238, 196)-net over F₄	[i]
48	No digital (47, 239, 196)-net over F₄	[i]
49	No digital (47, 240, 196)-net over F₄	[i]
50	No digital (47, 241, 196)-net over F₄	[i]
51	No digital (47, 242, 196)-net over F₄	[i]
52	No digital (47, 243, 196)-net over F₄	[i]
53	No digital (47, 244, 196)-net over F₄	[i]
54	No digital (47, 245, 196)-net over F₄	[i]
55	No digital (47, 246, 196)-net over F₄	[i]
56	No digital (47, 247, 196)-net over F₄	[i]
57	No digital (47, 248, 196)-net over F₄	[i]
58	No digital (47, 249, 196)-net over F₄	[i]
59	No digital (47, 250, 196)-net over F₄	[i]
60	No digital (47, 251, 196)-net over F₄	[i]
61	No digital (47, 252, 196)-net over F₄	[i]
62	No digital (47, 253, 196)-net over F₄	[i]
63	No digital (47, 254, 196)-net over F₄	[i]
64	No digital (47, 255, 196)-net over F₄	[i]
65	No digital (47, 256, 196)-net over F₄	[i]
66	No digital (47, 257, 196)-net over F₄	[i]
67	No digital (47, 258, 196)-net over F₄	[i]
68	No digital (47, 259, 196)-net over F₄	[i]
69	No digital (47, 260, 196)-net over F₄	[i]