MinT - Information on Result #599080

Information on Result #599080

There is no digital (56, 173, 178)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3¹⁷³, 178, F₃, 117) (dual of [178, 5, 118]-code), but

Griesmer bound [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 (56, 174, 178)-net over F₃	[i]	m-Reduction
2	No digital (56, 175, 178)-net over F₃	[i]
3	No digital (56, 176, 178)-net over F₃	[i]
4	No digital (56, 177, 178)-net over F₃	[i]
5	No digital (56, 178, 178)-net over F₃	[i]
6	No digital (56, 179, 178)-net over F₃	[i]
7	No digital (56, 180, 178)-net over F₃	[i]
8	No digital (56, 181, 178)-net over F₃	[i]
9	No digital (56, 182, 178)-net over F₃	[i]
10	No digital (56, 183, 178)-net over F₃	[i]
11	No digital (56, 184, 178)-net over F₃	[i]
12	No digital (56, 185, 178)-net over F₃	[i]
13	No digital (56, 186, 178)-net over F₃	[i]
14	No digital (56, 187, 178)-net over F₃	[i]
15	No digital (56, 188, 178)-net over F₃	[i]
16	No digital (56, 189, 178)-net over F₃	[i]
17	No digital (56, 190, 178)-net over F₃	[i]
18	No digital (56, 191, 178)-net over F₃	[i]
19	No digital (56, 192, 178)-net over F₃	[i]
20	No digital (56, 193, 178)-net over F₃	[i]
21	No digital (56, 194, 178)-net over F₃	[i]
22	No digital (56, 195, 178)-net over F₃	[i]
23	No digital (56, 196, 178)-net over F₃	[i]
24	No digital (56, 197, 178)-net over F₃	[i]
25	No digital (56, 198, 178)-net over F₃	[i]
26	No digital (56, 199, 178)-net over F₃	[i]
27	No digital (56, 200, 178)-net over F₃	[i]
28	No digital (56, 201, 178)-net over F₃	[i]
29	No digital (56, 202, 178)-net over F₃	[i]
30	No digital (56, 203, 178)-net over F₃	[i]
31	No digital (56, 204, 178)-net over F₃	[i]
32	No digital (56, 205, 178)-net over F₃	[i]
33	No digital (56, 206, 178)-net over F₃	[i]
34	No digital (56, 207, 178)-net over F₃	[i]
35	No digital (56, 208, 178)-net over F₃	[i]
36	No digital (56, 209, 178)-net over F₃	[i]
37	No digital (56, 210, 178)-net over F₃	[i]
38	No digital (56, 211, 178)-net over F₃	[i]
39	No digital (56, 212, 178)-net over F₃	[i]
40	No digital (56, 213, 178)-net over F₃	[i]
41	No digital (56, 214, 178)-net over F₃	[i]
42	No digital (56, 215, 178)-net over F₃	[i]
43	No digital (56, 216, 178)-net over F₃	[i]
44	No digital (56, 217, 178)-net over F₃	[i]
45	No digital (56, 218, 178)-net over F₃	[i]
46	No digital (56, 219, 178)-net over F₃	[i]
47	No digital (56, 220, 178)-net over F₃	[i]
48	No digital (56, 221, 178)-net over F₃	[i]
49	No digital (56, 222, 178)-net over F₃	[i]
50	No digital (56, 223, 178)-net over F₃	[i]
51	No digital (56, 224, 178)-net over F₃	[i]
52	No digital (56, 225, 178)-net over F₃	[i]
53	No digital (56, 226, 178)-net over F₃	[i]
54	No digital (56, 227, 178)-net over F₃	[i]
55	No digital (56, 228, 178)-net over F₃	[i]
56	No digital (56, 229, 178)-net over F₃	[i]
57	No digital (56, 230, 178)-net over F₃	[i]
58	No digital (56, 231, 178)-net over F₃	[i]
59	No digital (56, 232, 178)-net over F₃	[i]
60	No digital (56, 233, 178)-net over F₃	[i]
61	No digital (56, 234, 178)-net over F₃	[i]
62	No digital (56, 235, 178)-net over F₃	[i]
63	No digital (56, 236, 178)-net over F₃	[i]
64	No digital (56, 237, 178)-net over F₃	[i]
65	No digital (56, 238, 178)-net over F₃	[i]
66	No digital (56, 239, 178)-net over F₃	[i]
67	No digital (56, 240, 178)-net over F₃	[i]
68	No digital (56, 241, 178)-net over F₃	[i]
69	No digital (56, 242, 178)-net over F₃	[i]
70	No digital (56, 243, 178)-net over F₃	[i]
71	No digital (56, 244, 178)-net over F₃	[i]
72	No digital (56, 245, 178)-net over F₃	[i]
73	No digital (56, 246, 178)-net over F₃	[i]
74	No digital (56, 247, 178)-net over F₃	[i]
75	No digital (56, 248, 178)-net over F₃	[i]
76	No digital (56, 249, 178)-net over F₃	[i]
77	No digital (56, 250, 178)-net over F₃	[i]