MinT - Information on Result #599387

Information on Result #599387

There is no digital (21, 85, 92)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4⁸⁵, 92, F₄, 64) (dual of [92, 7, 65]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(4⁸⁴, 88, F₄, 64) (dual of [88, 4, 65]-code), but
  - Griesmer bound [i]
2. OA(4⁷, 92, S₄, 4), but
  - discarding factors would yield OA(4⁷, 61, S₄, 4), but
    - the Rao or (dual) Hamming bound shows that MÂ â‰¥ 16654 > 4⁷ [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 (21, 86, 92)-net over F₄	[i]	m-Reduction
2	No digital (21, 87, 92)-net over F₄	[i]
3	No digital (21, 88, 92)-net over F₄	[i]
4	No digital (21, 89, 92)-net over F₄	[i]
5	No digital (21, 90, 92)-net over F₄	[i]
6	No digital (21, 91, 92)-net over F₄	[i]
7	No digital (21, 92, 92)-net over F₄	[i]
8	No digital (21, 93, 92)-net over F₄	[i]
9	No digital (21, 94, 92)-net over F₄	[i]
10	No digital (21, 95, 92)-net over F₄	[i]
11	No digital (21, 96, 92)-net over F₄	[i]
12	No digital (21, 97, 92)-net over F₄	[i]
13	No digital (21, 98, 92)-net over F₄	[i]
14	No digital (21, 99, 92)-net over F₄	[i]
15	No digital (21, 100, 92)-net over F₄	[i]
16	No digital (21, 101, 92)-net over F₄	[i]
17	No digital (21, 102, 92)-net over F₄	[i]
18	No digital (21, 103, 92)-net over F₄	[i]
19	No digital (21, 104, 92)-net over F₄	[i]
20	No digital (21, 105, 92)-net over F₄	[i]
21	No digital (21, 106, 92)-net over F₄	[i]
22	No digital (21, 107, 92)-net over F₄	[i]
23	No digital (21, 108, 92)-net over F₄	[i]
24	No digital (21, 109, 92)-net over F₄	[i]
25	No digital (21, 110, 92)-net over F₄	[i]
26	No digital (21, 111, 92)-net over F₄	[i]
27	No digital (21, 112, 92)-net over F₄	[i]
28	No digital (21, 113, 92)-net over F₄	[i]
29	No digital (21, 114, 92)-net over F₄	[i]
30	No digital (21, 115, 92)-net over F₄	[i]
31	No digital (21, 116, 92)-net over F₄	[i]
32	No digital (21, 117, 92)-net over F₄	[i]
33	No digital (21, 118, 92)-net over F₄	[i]
34	No digital (21, 119, 92)-net over F₄	[i]
35	No digital (21, 120, 92)-net over F₄	[i]
36	No digital (21, 121, 92)-net over F₄	[i]
37	No digital (21, 122, 92)-net over F₄	[i]
38	No digital (21, 123, 92)-net over F₄	[i]
39	No digital (21, 124, 92)-net over F₄	[i]
40	No digital (21, 125, 92)-net over F₄	[i]
41	No digital (21, 126, 92)-net over F₄	[i]
42	No digital (21, 127, 92)-net over F₄	[i]
43	No digital (21, 128, 92)-net over F₄	[i]
44	No digital (21, 129, 92)-net over F₄	[i]
45	No digital (21, 130, 92)-net over F₄	[i]
46	No digital (21, 131, 92)-net over F₄	[i]
47	No digital (21, 132, 92)-net over F₄	[i]
48	No digital (21, 133, 92)-net over F₄	[i]
49	No digital (21, 134, 92)-net over F₄	[i]
50	No digital (21, 135, 92)-net over F₄	[i]
51	No digital (21, 136, 92)-net over F₄	[i]
52	No digital (21, 137, 92)-net over F₄	[i]
53	No digital (21, 138, 92)-net over F₄	[i]
54	No digital (21, 139, 92)-net over F₄	[i]
55	No digital (21, 140, 92)-net over F₄	[i]
56	No digital (21, 141, 92)-net over F₄	[i]
57	No digital (21, 142, 92)-net over F₄	[i]
58	No digital (21, 143, 92)-net over F₄	[i]
59	No digital (21, 144, 92)-net over F₄	[i]
60	No digital (21, 145, 92)-net over F₄	[i]
61	No digital (21, 146, 92)-net over F₄	[i]
62	No digital (21, 147, 92)-net over F₄	[i]
63	No digital (21, 148, 92)-net over F₄	[i]
64	No digital (21, 149, 92)-net over F₄	[i]
65	No digital (21, 150, 92)-net over F₄	[i]
66	No digital (21, 151, 92)-net over F₄	[i]
67	No digital (21, 152, 92)-net over F₄	[i]
68	No digital (21, 153, 92)-net over F₄	[i]