MinT - Information on Result #599867

Information on Result #599867

There is no digital (2, 20, 30)-net over F₉, because extracting embedded orthogonal array would yield linear OA(9²⁰, 30, F₉, 18) (dual of [30, 10, 19]-code), but

residual code [i] would yield OA(9², 11, S₉, 2), but
- bound for OAs with strength kÂ =Â 2 [i]
- the Rao or (dual) Hamming bound shows that MÂ â‰¥ 89 > 9² [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 (2, 21, 30)-net over F₉	[i]	m-Reduction
2	No digital (2, 22, 30)-net over F₉	[i]
3	No digital (2, 23, 30)-net over F₉	[i]
4	No digital (2, 24, 30)-net over F₉	[i]
5	No digital (2, 25, 30)-net over F₉	[i]
6	No digital (2, 26, 30)-net over F₉	[i]
7	No digital (2, 27, 30)-net over F₉	[i]
8	No digital (2, 28, 30)-net over F₉	[i]
9	No digital (2, 29, 30)-net over F₉	[i]
10	No digital (2, 30, 30)-net over F₉	[i]
11	No digital (2, 31, 30)-net over F₉	[i]
12	No digital (2, 32, 30)-net over F₉	[i]
13	No digital (2, 33, 30)-net over F₉	[i]
14	No digital (2, 34, 30)-net over F₉	[i]
15	No digital (2, 35, 30)-net over F₉	[i]
16	No digital (2, 36, 30)-net over F₉	[i]
17	No digital (2, 37, 30)-net over F₉	[i]
18	No digital (2, 38, 30)-net over F₉	[i]
19	No digital (2, 39, 30)-net over F₉	[i]
20	No digital (2, 40, 30)-net over F₉	[i]
21	No digital (2, 41, 30)-net over F₉	[i]
22	No digital (2, 42, 30)-net over F₉	[i]
23	No digital (2, 43, 30)-net over F₉	[i]
24	No digital (2, 44, 30)-net over F₉	[i]
25	No digital (2, 45, 30)-net over F₉	[i]
26	No digital (2, 46, 30)-net over F₉	[i]
27	No digital (2, 47, 30)-net over F₉	[i]
28	No digital (2, 48, 30)-net over F₉	[i]
29	No digital (2, 49, 30)-net over F₉	[i]
30	No digital (2, 50, 30)-net over F₉	[i]
31	No digital (2, 51, 30)-net over F₉	[i]
32	No digital (2, 52, 30)-net over F₉	[i]
33	No digital (2, 53, 30)-net over F₉	[i]
34	No digital (2, 54, 30)-net over F₉	[i]
35	No digital (2, 55, 30)-net over F₉	[i]
36	No digital (2, 56, 30)-net over F₉	[i]
37	No digital (2, 57, 30)-net over F₉	[i]
38	No digital (2, 58, 30)-net over F₉	[i]
39	No digital (2, 59, 30)-net over F₉	[i]
40	No digital (2, 60, 30)-net over F₉	[i]
41	No digital (2, 61, 30)-net over F₉	[i]
42	No digital (2, 62, 30)-net over F₉	[i]
43	No digital (2, 63, 30)-net over F₉	[i]
44	No digital (2, 64, 30)-net over F₉	[i]
45	No digital (2, 65, 30)-net over F₉	[i]
46	No digital (2, 66, 30)-net over F₉	[i]
47	No digital (2, 67, 30)-net over F₉	[i]
48	No digital (2, 68, 30)-net over F₉	[i]
49	No digital (2, 69, 30)-net over F₉	[i]
50	No digital (2, 70, 30)-net over F₉	[i]
51	No digital (2, 71, 30)-net over F₉	[i]
52	No digital (2, 72, 30)-net over F₉	[i]
53	No digital (2, 73, 30)-net over F₉	[i]
54	No digital (2, 74, 30)-net over F₉	[i]
55	No digital (2, 75, 30)-net over F₉	[i]
56	No digital (2, 76, 30)-net over F₉	[i]
57	No digital (2, 77, 30)-net over F₉	[i]
58	No digital (2, 78, 30)-net over F₉	[i]
59	No digital (2, 79, 30)-net over F₉	[i]
60	No digital (2, 80, 30)-net over F₉	[i]
61	No digital (2, 81, 30)-net over F₉	[i]
62	No digital (2, 82, 30)-net over F₉	[i]
63	No digital (2, 83, 30)-net over F₉	[i]
64	No digital (2, 84, 30)-net over F₉	[i]
65	No digital (2, 85, 30)-net over F₉	[i]
66	No digital (2, 86, 30)-net over F₉	[i]
67	No digital (2, 87, 30)-net over F₉	[i]
68	No digital (2, 88, 30)-net over F₉	[i]
69	No digital (2, 89, 30)-net over F₉	[i]
70	No digital (2, 90, 30)-net over F₉	[i]
71	No digital (2, 91, 30)-net over F₉	[i]
72	No digital (2, 92, 30)-net over F₉	[i]
73	No digital (2, 93, 30)-net over F₉	[i]
74	No digital (2, 94, 30)-net over F₉	[i]
75	No digital (2, 95, 30)-net over F₉	[i]
76	No digital (2, 96, 30)-net over F₉	[i]
77	No digital (2, 97, 30)-net over F₉	[i]
78	No digital (2, 98, 30)-net over F₉	[i]
79	No digital (2, 99, 30)-net over F₉	[i]
80	No digital (2, 100, 30)-net over F₉	[i]
81	No digital (2, 101, 30)-net over F₉	[i]
82	No digital (2, 102, 30)-net over F₉	[i]
83	No digital (2, 103, 30)-net over F₉	[i]
84	No digital (2, 104, 30)-net over F₉	[i]
85	No digital (2, 105, 30)-net over F₉	[i]
86	No digital (2, 106, 30)-net over F₉	[i]
87	No digital (2, 107, 30)-net over F₉	[i]
88	No digital (2, 108, 30)-net over F₉	[i]
89	No digital (2, 109, 30)-net over F₉	[i]
90	No digital (2, 110, 30)-net over F₉	[i]
91	No digital (2, 111, 30)-net over F₉	[i]
92	No digital (2, 112, 30)-net over F₉	[i]
93	No digital (2, 113, 30)-net over F₉	[i]
94	No digital (2, 114, 30)-net over F₉	[i]
95	No digital (2, 115, 30)-net over F₉	[i]
96	No digital (2, 116, 30)-net over F₉	[i]
97	No digital (2, 117, 30)-net over F₉	[i]
98	No digital (2, 118, 30)-net over F₉	[i]
99	No digital (2, 119, 30)-net over F₉	[i]
100	No digital (2, 120, 30)-net over F₉	[i]
101	No digital (2, 121, 30)-net over F₉	[i]
102	No digital (2, 122, 30)-net over F₉	[i]
103	No digital (2, 123, 30)-net over F₉	[i]
104	No digital (2, 124, 30)-net over F₉	[i]
105	No digital (2, 125, 30)-net over F₉	[i]
106	No digital (2, 126, 30)-net over F₉	[i]
107	No digital (2, 127, 30)-net over F₉	[i]
108	No digital (2, 128, 30)-net over F₉	[i]
109	No digital (2, 129, 30)-net over F₉	[i]
110	No digital (2, 130, 30)-net over F₉	[i]
111	No digital (2, 131, 30)-net over F₉	[i]
112	No digital (2, 132, 30)-net over F₉	[i]
113	No digital (2, 133, 30)-net over F₉	[i]
114	No digital (2, 134, 30)-net over F₉	[i]
115	No digital (2, 135, 30)-net over F₉	[i]
116	No digital (2, 136, 30)-net over F₉	[i]
117	No digital (2, 137, 30)-net over F₉	[i]
118	No digital (2, 138, 30)-net over F₉	[i]
119	No digital (2, 139, 30)-net over F₉	[i]
120	No digital (2, 140, 30)-net over F₉	[i]
121	No digital (2, 141, 30)-net over F₉	[i]
122	No digital (2, 142, 30)-net over F₉	[i]
123	No digital (2, 143, 30)-net over F₉	[i]
124	No digital (2, 144, 30)-net over F₉	[i]
125	No digital (2, 145, 30)-net over F₉	[i]
126	No digital (2, 146, 30)-net over F₉	[i]
127	No digital (2, 147, 30)-net over F₉	[i]
128	No digital (2, 148, 30)-net over F₉	[i]
129	No digital (2, 149, 30)-net over F₉	[i]
130	No digital (2, 150, 30)-net over F₉	[i]
131	No digital (2, m, 30)-net over F₉ for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net