MinT - Information on Result #599020

Information on Result #599020

There is no digital (48, 147, 154)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3¹⁴⁷, 154, F₃, 99) (dual of [154, 7, 100]-code), but

constructionÂ Y1 [i] would yield
1. linear OA(3¹⁴⁶, 151, F₃, 99) (dual of [151, 5, 100]-code), but
  - Griesmer bound [i]
2. linear OA(3⁷, 154, F₃, 3) (dual of [154, 147, 4]-code or 154-cap in PG(6,3)), but
  - discarding factors / shortening the dual code would yield linear OA(3⁷, 137, F₃, 3) (dual of [137, 130, 4]-code or 137-cap in PG(6,3)), but
    - a result by BarÃ¡t, Edel, Hill, and Storme [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 (48, 148, 154)-net over F₃	[i]	m-Reduction
2	No digital (48, 149, 154)-net over F₃	[i]
3	No digital (48, 150, 154)-net over F₃	[i]
4	No digital (48, 151, 154)-net over F₃	[i]
5	No digital (48, 152, 154)-net over F₃	[i]
6	No digital (48, 153, 154)-net over F₃	[i]
7	No digital (48, 154, 154)-net over F₃	[i]
8	No digital (48, 155, 154)-net over F₃	[i]
9	No digital (48, 156, 154)-net over F₃	[i]
10	No digital (48, 157, 154)-net over F₃	[i]
11	No digital (48, 158, 154)-net over F₃	[i]
12	No digital (48, 159, 154)-net over F₃	[i]
13	No digital (48, 160, 154)-net over F₃	[i]
14	No digital (48, 161, 154)-net over F₃	[i]
15	No digital (48, 162, 154)-net over F₃	[i]
16	No digital (48, 163, 154)-net over F₃	[i]
17	No digital (48, 164, 154)-net over F₃	[i]
18	No digital (48, 165, 154)-net over F₃	[i]
19	No digital (48, 166, 154)-net over F₃	[i]
20	No digital (48, 167, 154)-net over F₃	[i]
21	No digital (48, 168, 154)-net over F₃	[i]
22	No digital (48, 169, 154)-net over F₃	[i]
23	No digital (48, 170, 154)-net over F₃	[i]
24	No digital (48, 171, 154)-net over F₃	[i]
25	No digital (48, 172, 154)-net over F₃	[i]
26	No digital (48, 173, 154)-net over F₃	[i]
27	No digital (48, 174, 154)-net over F₃	[i]
28	No digital (48, 175, 154)-net over F₃	[i]
29	No digital (48, 176, 154)-net over F₃	[i]
30	No digital (48, 177, 154)-net over F₃	[i]
31	No digital (48, 178, 154)-net over F₃	[i]
32	No digital (48, 179, 154)-net over F₃	[i]
33	No digital (48, 180, 154)-net over F₃	[i]
34	No digital (48, 181, 154)-net over F₃	[i]
35	No digital (48, 182, 154)-net over F₃	[i]
36	No digital (48, 183, 154)-net over F₃	[i]
37	No digital (48, 184, 154)-net over F₃	[i]
38	No digital (48, 185, 154)-net over F₃	[i]
39	No digital (48, 186, 154)-net over F₃	[i]
40	No digital (48, 187, 154)-net over F₃	[i]
41	No digital (48, 188, 154)-net over F₃	[i]
42	No digital (48, 189, 154)-net over F₃	[i]
43	No digital (48, 190, 154)-net over F₃	[i]
44	No digital (48, 191, 154)-net over F₃	[i]
45	No digital (48, 192, 154)-net over F₃	[i]
46	No digital (48, 193, 154)-net over F₃	[i]
47	No digital (48, 194, 154)-net over F₃	[i]
48	No digital (48, 195, 154)-net over F₃	[i]
49	No digital (48, 196, 154)-net over F₃	[i]
50	No digital (48, 197, 154)-net over F₃	[i]
51	No digital (48, 198, 154)-net over F₃	[i]
52	No digital (48, 199, 154)-net over F₃	[i]
53	No digital (48, 200, 154)-net over F₃	[i]
54	No digital (48, 201, 154)-net over F₃	[i]
55	No digital (48, 202, 154)-net over F₃	[i]
56	No digital (48, 203, 154)-net over F₃	[i]
57	No digital (48, 204, 154)-net over F₃	[i]
58	No digital (48, 205, 154)-net over F₃	[i]
59	No digital (48, 206, 154)-net over F₃	[i]
60	No digital (48, 207, 154)-net over F₃	[i]
61	No digital (48, 208, 154)-net over F₃	[i]
62	No digital (48, 209, 154)-net over F₃	[i]
63	No digital (48, 210, 154)-net over F₃	[i]
64	No digital (48, 211, 154)-net over F₃	[i]
65	No digital (48, 212, 154)-net over F₃	[i]
66	No digital (48, 213, 154)-net over F₃	[i]
67	No digital (48, 214, 154)-net over F₃	[i]
68	No digital (48, 215, 154)-net over F₃	[i]
69	No digital (48, 216, 154)-net over F₃	[i]
70	No digital (48, 217, 154)-net over F₃	[i]
71	No digital (48, 218, 154)-net over F₃	[i]
72	No digital (48, 219, 154)-net over F₃	[i]
73	No digital (48, 220, 154)-net over F₃	[i]
74	No digital (48, 221, 154)-net over F₃	[i]
75	No digital (48, 222, 154)-net over F₃	[i]
76	No digital (48, 223, 154)-net over F₃	[i]
77	No digital (48, 224, 154)-net over F₃	[i]
78	No digital (48, 225, 154)-net over F₃	[i]
79	No digital (48, 226, 154)-net over F₃	[i]
80	No digital (48, 227, 154)-net over F₃	[i]
81	No digital (48, 228, 154)-net over F₃	[i]
82	No digital (48, 229, 154)-net over F₃	[i]
83	No digital (48, 230, 154)-net over F₃	[i]
84	No digital (48, 231, 154)-net over F₃	[i]
85	No digital (48, 232, 154)-net over F₃	[i]