MinT - Information on Result #599112

Information on Result #599112

There is no digital (60, 183, 191)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3¹⁸³, 191, F₃, 123) (dual of [191, 8, 124]-code), but

residual code [i] would yield OA(3⁶⁰, 67, S₃, 41), but
- the linear programming bound shows that MÂ â‰¥ 367 404168 771298 835858 389852 553067 / 8575 > 3⁶⁰ [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 (60, 184, 191)-net over F₃	[i]	m-Reduction
2	No digital (60, 185, 191)-net over F₃	[i]
3	No digital (60, 186, 191)-net over F₃	[i]
4	No digital (60, 187, 191)-net over F₃	[i]
5	No digital (60, 188, 191)-net over F₃	[i]
6	No digital (60, 189, 191)-net over F₃	[i]
7	No digital (60, 190, 191)-net over F₃	[i]
8	No digital (60, 191, 191)-net over F₃	[i]
9	No digital (60, 192, 191)-net over F₃	[i]
10	No digital (60, 193, 191)-net over F₃	[i]
11	No digital (60, 194, 191)-net over F₃	[i]
12	No digital (60, 195, 191)-net over F₃	[i]
13	No digital (60, 196, 191)-net over F₃	[i]
14	No digital (60, 197, 191)-net over F₃	[i]
15	No digital (60, 198, 191)-net over F₃	[i]
16	No digital (60, 199, 191)-net over F₃	[i]
17	No digital (60, 200, 191)-net over F₃	[i]
18	No digital (60, 201, 191)-net over F₃	[i]
19	No digital (60, 202, 191)-net over F₃	[i]
20	No digital (60, 203, 191)-net over F₃	[i]
21	No digital (60, 204, 191)-net over F₃	[i]
22	No digital (60, 205, 191)-net over F₃	[i]
23	No digital (60, 206, 191)-net over F₃	[i]
24	No digital (60, 207, 191)-net over F₃	[i]
25	No digital (60, 208, 191)-net over F₃	[i]
26	No digital (60, 209, 191)-net over F₃	[i]
27	No digital (60, 210, 191)-net over F₃	[i]
28	No digital (60, 211, 191)-net over F₃	[i]
29	No digital (60, 212, 191)-net over F₃	[i]
30	No digital (60, 213, 191)-net over F₃	[i]
31	No digital (60, 214, 191)-net over F₃	[i]
32	No digital (60, 215, 191)-net over F₃	[i]
33	No digital (60, 216, 191)-net over F₃	[i]
34	No digital (60, 217, 191)-net over F₃	[i]
35	No digital (60, 218, 191)-net over F₃	[i]
36	No digital (60, 219, 191)-net over F₃	[i]
37	No digital (60, 220, 191)-net over F₃	[i]
38	No digital (60, 221, 191)-net over F₃	[i]
39	No digital (60, 222, 191)-net over F₃	[i]
40	No digital (60, 223, 191)-net over F₃	[i]
41	No digital (60, 224, 191)-net over F₃	[i]
42	No digital (60, 225, 191)-net over F₃	[i]
43	No digital (60, 226, 191)-net over F₃	[i]
44	No digital (60, 227, 191)-net over F₃	[i]
45	No digital (60, 228, 191)-net over F₃	[i]
46	No digital (60, 229, 191)-net over F₃	[i]
47	No digital (60, 230, 191)-net over F₃	[i]
48	No digital (60, 231, 191)-net over F₃	[i]
49	No digital (60, 232, 191)-net over F₃	[i]
50	No digital (60, 233, 191)-net over F₃	[i]
51	No digital (60, 234, 191)-net over F₃	[i]
52	No digital (60, 235, 191)-net over F₃	[i]
53	No digital (60, 236, 191)-net over F₃	[i]
54	No digital (60, 237, 191)-net over F₃	[i]
55	No digital (60, 238, 191)-net over F₃	[i]
56	No digital (60, 239, 191)-net over F₃	[i]
57	No digital (60, 240, 191)-net over F₃	[i]
58	No digital (60, 241, 191)-net over F₃	[i]
59	No digital (60, 242, 191)-net over F₃	[i]
60	No digital (60, 243, 191)-net over F₃	[i]
61	No digital (60, 244, 191)-net over F₃	[i]
62	No digital (60, 245, 191)-net over F₃	[i]
63	No digital (60, 246, 191)-net over F₃	[i]
64	No digital (60, 247, 191)-net over F₃	[i]
65	No digital (60, 248, 191)-net over F₃	[i]
66	No digital (60, 249, 191)-net over F₃	[i]
67	No digital (60, 250, 191)-net over F₃	[i]