MinT - Information on Result #599468

Information on Result #599468

There is no digital (45, 181, 191)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4¹⁸¹, 191, F₄, 136) (dual of [191, 10, 137]-code), but

residual code [i] would yield linear OA(4⁴⁵, 54, F₄, 34) (dual of [54, 9, 35]-code), but
- â€œGurâ€ 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 (45, 182, 191)-net over F₄	[i]	m-Reduction
2	No digital (45, 183, 191)-net over F₄	[i]
3	No digital (45, 184, 191)-net over F₄	[i]
4	No digital (45, 185, 191)-net over F₄	[i]
5	No digital (45, 186, 191)-net over F₄	[i]
6	No digital (45, 187, 191)-net over F₄	[i]
7	No digital (45, 188, 191)-net over F₄	[i]
8	No digital (45, 189, 191)-net over F₄	[i]
9	No digital (45, 190, 191)-net over F₄	[i]
10	No digital (45, 191, 191)-net over F₄	[i]
11	No digital (45, 192, 191)-net over F₄	[i]
12	No digital (45, 193, 191)-net over F₄	[i]
13	No digital (45, 194, 191)-net over F₄	[i]
14	No digital (45, 195, 191)-net over F₄	[i]
15	No digital (45, 196, 191)-net over F₄	[i]
16	No digital (45, 197, 191)-net over F₄	[i]
17	No digital (45, 198, 191)-net over F₄	[i]
18	No digital (45, 199, 191)-net over F₄	[i]
19	No digital (45, 200, 191)-net over F₄	[i]
20	No digital (45, 201, 191)-net over F₄	[i]
21	No digital (45, 202, 191)-net over F₄	[i]
22	No digital (45, 203, 191)-net over F₄	[i]
23	No digital (45, 204, 191)-net over F₄	[i]
24	No digital (45, 205, 191)-net over F₄	[i]
25	No digital (45, 206, 191)-net over F₄	[i]
26	No digital (45, 207, 191)-net over F₄	[i]
27	No digital (45, 208, 191)-net over F₄	[i]
28	No digital (45, 209, 191)-net over F₄	[i]
29	No digital (45, 210, 191)-net over F₄	[i]
30	No digital (45, 211, 191)-net over F₄	[i]
31	No digital (45, 212, 191)-net over F₄	[i]
32	No digital (45, 213, 191)-net over F₄	[i]
33	No digital (45, 214, 191)-net over F₄	[i]
34	No digital (45, 215, 191)-net over F₄	[i]
35	No digital (45, 216, 191)-net over F₄	[i]
36	No digital (45, 217, 191)-net over F₄	[i]
37	No digital (45, 218, 191)-net over F₄	[i]
38	No digital (45, 219, 191)-net over F₄	[i]
39	No digital (45, 220, 191)-net over F₄	[i]
40	No digital (45, 221, 191)-net over F₄	[i]
41	No digital (45, 222, 191)-net over F₄	[i]
42	No digital (45, 223, 191)-net over F₄	[i]
43	No digital (45, 224, 191)-net over F₄	[i]
44	No digital (45, 225, 191)-net over F₄	[i]
45	No digital (45, 226, 191)-net over F₄	[i]
46	No digital (45, 227, 191)-net over F₄	[i]
47	No digital (45, 228, 191)-net over F₄	[i]
48	No digital (45, 229, 191)-net over F₄	[i]
49	No digital (45, 230, 191)-net over F₄	[i]
50	No digital (45, 231, 191)-net over F₄	[i]
51	No digital (45, 232, 191)-net over F₄	[i]
52	No digital (45, 233, 191)-net over F₄	[i]
53	No digital (45, 234, 191)-net over F₄	[i]
54	No digital (45, 235, 191)-net over F₄	[i]
55	No digital (45, 236, 191)-net over F₄	[i]
56	No digital (45, 237, 191)-net over F₄	[i]
57	No digital (45, 238, 191)-net over F₄	[i]
58	No digital (45, 239, 191)-net over F₄	[i]
59	No digital (45, 240, 191)-net over F₄	[i]
60	No digital (45, 241, 191)-net over F₄	[i]
61	No digital (45, 242, 191)-net over F₄	[i]
62	No digital (45, 243, 191)-net over F₄	[i]
63	No digital (45, 244, 191)-net over F₄	[i]
64	No digital (45, 245, 191)-net over F₄	[i]
65	No digital (45, 246, 191)-net over F₄	[i]
66	No digital (45, 247, 191)-net over F₄	[i]
67	No digital (45, 248, 191)-net over F₄	[i]
68	No digital (45, 249, 191)-net over F₄	[i]
69	No digital (45, 250, 191)-net over F₄	[i]
70	No digital (45, 251, 191)-net over F₄	[i]
71	No digital (45, 252, 191)-net over F₄	[i]
72	No digital (45, 253, 191)-net over F₄	[i]
73	No digital (45, 254, 191)-net over F₄	[i]
74	No digital (45, 255, 191)-net over F₄	[i]
75	No digital (45, 256, 191)-net over F₄	[i]
76	No digital (45, 257, 191)-net over F₄	[i]
77	No digital (45, 258, 191)-net over F₄	[i]
78	No digital (45, 259, 191)-net over F₄	[i]
79	No digital (45, 260, 191)-net over F₄	[i]