MinT - Information on Result #599051

Information on Result #599051

There is no digital (52, 160, 165)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3¹⁶⁰, 165, F₃, 108) (dual of [165, 5, 109]-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 (52, 161, 165)-net over F₃	[i]	m-Reduction
2	No digital (52, 162, 165)-net over F₃	[i]
3	No digital (52, 163, 165)-net over F₃	[i]
4	No digital (52, 164, 165)-net over F₃	[i]
5	No digital (52, 165, 165)-net over F₃	[i]
6	No digital (52, 166, 165)-net over F₃	[i]
7	No digital (52, 167, 165)-net over F₃	[i]
8	No digital (52, 168, 165)-net over F₃	[i]
9	No digital (52, 169, 165)-net over F₃	[i]
10	No digital (52, 170, 165)-net over F₃	[i]
11	No digital (52, 171, 165)-net over F₃	[i]
12	No digital (52, 172, 165)-net over F₃	[i]
13	No digital (52, 173, 165)-net over F₃	[i]
14	No digital (52, 174, 165)-net over F₃	[i]
15	No digital (52, 175, 165)-net over F₃	[i]
16	No digital (52, 176, 165)-net over F₃	[i]
17	No digital (52, 177, 165)-net over F₃	[i]
18	No digital (52, 178, 165)-net over F₃	[i]
19	No digital (52, 179, 165)-net over F₃	[i]
20	No digital (52, 180, 165)-net over F₃	[i]
21	No digital (52, 181, 165)-net over F₃	[i]
22	No digital (52, 182, 165)-net over F₃	[i]
23	No digital (52, 183, 165)-net over F₃	[i]
24	No digital (52, 184, 165)-net over F₃	[i]
25	No digital (52, 185, 165)-net over F₃	[i]
26	No digital (52, 186, 165)-net over F₃	[i]
27	No digital (52, 187, 165)-net over F₃	[i]
28	No digital (52, 188, 165)-net over F₃	[i]
29	No digital (52, 189, 165)-net over F₃	[i]
30	No digital (52, 190, 165)-net over F₃	[i]
31	No digital (52, 191, 165)-net over F₃	[i]
32	No digital (52, 192, 165)-net over F₃	[i]
33	No digital (52, 193, 165)-net over F₃	[i]
34	No digital (52, 194, 165)-net over F₃	[i]
35	No digital (52, 195, 165)-net over F₃	[i]
36	No digital (52, 196, 165)-net over F₃	[i]
37	No digital (52, 197, 165)-net over F₃	[i]
38	No digital (52, 198, 165)-net over F₃	[i]
39	No digital (52, 199, 165)-net over F₃	[i]
40	No digital (52, 200, 165)-net over F₃	[i]
41	No digital (52, 201, 165)-net over F₃	[i]
42	No digital (52, 202, 165)-net over F₃	[i]
43	No digital (52, 203, 165)-net over F₃	[i]
44	No digital (52, 204, 165)-net over F₃	[i]
45	No digital (52, 205, 165)-net over F₃	[i]
46	No digital (52, 206, 165)-net over F₃	[i]
47	No digital (52, 207, 165)-net over F₃	[i]
48	No digital (52, 208, 165)-net over F₃	[i]
49	No digital (52, 209, 165)-net over F₃	[i]
50	No digital (52, 210, 165)-net over F₃	[i]
51	No digital (52, 211, 165)-net over F₃	[i]
52	No digital (52, 212, 165)-net over F₃	[i]
53	No digital (52, 213, 165)-net over F₃	[i]
54	No digital (52, 214, 165)-net over F₃	[i]
55	No digital (52, 215, 165)-net over F₃	[i]
56	No digital (52, 216, 165)-net over F₃	[i]
57	No digital (52, 217, 165)-net over F₃	[i]
58	No digital (52, 218, 165)-net over F₃	[i]
59	No digital (52, 219, 165)-net over F₃	[i]
60	No digital (52, 220, 165)-net over F₃	[i]
61	No digital (52, 221, 165)-net over F₃	[i]
62	No digital (52, 222, 165)-net over F₃	[i]
63	No digital (52, 223, 165)-net over F₃	[i]
64	No digital (52, 224, 165)-net over F₃	[i]
65	No digital (52, 225, 165)-net over F₃	[i]
66	No digital (52, 226, 165)-net over F₃	[i]
67	No digital (52, 227, 165)-net over F₃	[i]
68	No digital (52, 228, 165)-net over F₃	[i]
69	No digital (52, 229, 165)-net over F₃	[i]
70	No digital (52, 230, 165)-net over F₃	[i]
71	No digital (52, 231, 165)-net over F₃	[i]
72	No digital (52, 232, 165)-net over F₃	[i]
73	No digital (52, 233, 165)-net over F₃	[i]
74	No digital (52, 234, 165)-net over F₃	[i]
75	No digital (52, 235, 165)-net over F₃	[i]
76	No digital (52, 236, 165)-net over F₃	[i]
77	No digital (52, 237, 165)-net over F₃	[i]
78	No digital (52, 238, 165)-net over F₃	[i]
79	No digital (52, 239, 165)-net over F₃	[i]
80	No digital (52, 240, 165)-net over F₃	[i]
81	No digital (52, 241, 165)-net over F₃	[i]
82	No digital (52, 242, 165)-net over F₃	[i]
83	No digital (52, 243, 165)-net over F₃	[i]
84	No digital (52, 244, 165)-net over F₃	[i]
85	No digital (52, 245, 165)-net over F₃	[i]
86	No digital (52, 246, 165)-net over F₃	[i]
87	No digital (52, 247, 165)-net over F₃	[i]
88	No digital (52, 248, 165)-net over F₃	[i]
89	No digital (52, 249, 165)-net over F₃	[i]
90	No digital (52, 250, 165)-net over F₃	[i]