MinT - Information on Result #599799

Information on Result #599799

There is no digital (1, 9, 15)-net over F₈, because extracting embedded orthogonal array would yield linear OA(8⁹, 15, F₈, 8) (dual of [15, 6, 9]-code), but

â€œMPaâ€ bound on codes from Brouwerâ€™s database [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 (1, 10, 15)-net over F₈	[i]	m-Reduction
2	No digital (1, 11, 15)-net over F₈	[i]
3	No digital (1, 12, 15)-net over F₈	[i]
4	No digital (1, 13, 15)-net over F₈	[i]
5	No digital (1, 14, 15)-net over F₈	[i]
6	No digital (1, 15, 15)-net over F₈	[i]
7	No digital (1, 16, 15)-net over F₈	[i]
8	No digital (1, 17, 15)-net over F₈	[i]
9	No digital (1, 18, 15)-net over F₈	[i]
10	No digital (1, 19, 15)-net over F₈	[i]
11	No digital (1, 20, 15)-net over F₈	[i]
12	No digital (1, 21, 15)-net over F₈	[i]
13	No digital (1, 22, 15)-net over F₈	[i]
14	No digital (1, 23, 15)-net over F₈	[i]
15	No digital (1, 24, 15)-net over F₈	[i]
16	No digital (1, 25, 15)-net over F₈	[i]
17	No digital (1, 26, 15)-net over F₈	[i]
18	No digital (1, 27, 15)-net over F₈	[i]
19	No digital (1, 28, 15)-net over F₈	[i]
20	No digital (1, 29, 15)-net over F₈	[i]
21	No digital (1, 30, 15)-net over F₈	[i]
22	No digital (1, 31, 15)-net over F₈	[i]
23	No digital (1, 32, 15)-net over F₈	[i]
24	No digital (1, 33, 15)-net over F₈	[i]
25	No digital (1, 34, 15)-net over F₈	[i]
26	No digital (1, 35, 15)-net over F₈	[i]
27	No digital (1, 36, 15)-net over F₈	[i]
28	No digital (1, 37, 15)-net over F₈	[i]
29	No digital (1, 38, 15)-net over F₈	[i]
30	No digital (1, 39, 15)-net over F₈	[i]
31	No digital (1, 40, 15)-net over F₈	[i]
32	No digital (1, 41, 15)-net over F₈	[i]
33	No digital (1, 42, 15)-net over F₈	[i]
34	No digital (1, 43, 15)-net over F₈	[i]
35	No digital (1, 44, 15)-net over F₈	[i]
36	No digital (1, 45, 15)-net over F₈	[i]
37	No digital (1, 46, 15)-net over F₈	[i]
38	No digital (1, 47, 15)-net over F₈	[i]
39	No digital (1, 48, 15)-net over F₈	[i]
40	No digital (1, 49, 15)-net over F₈	[i]
41	No digital (1, 50, 15)-net over F₈	[i]
42	No digital (1, 51, 15)-net over F₈	[i]
43	No digital (1, 52, 15)-net over F₈	[i]
44	No digital (1, 53, 15)-net over F₈	[i]
45	No digital (1, 54, 15)-net over F₈	[i]
46	No digital (1, 55, 15)-net over F₈	[i]
47	No digital (1, 56, 15)-net over F₈	[i]
48	No digital (1, 57, 15)-net over F₈	[i]
49	No digital (1, 58, 15)-net over F₈	[i]
50	No digital (1, 59, 15)-net over F₈	[i]
51	No digital (1, 60, 15)-net over F₈	[i]
52	No digital (1, 61, 15)-net over F₈	[i]
53	No digital (1, 62, 15)-net over F₈	[i]
54	No digital (1, 63, 15)-net over F₈	[i]
55	No digital (1, 64, 15)-net over F₈	[i]
56	No digital (1, 65, 15)-net over F₈	[i]
57	No digital (1, 66, 15)-net over F₈	[i]
58	No digital (1, 67, 15)-net over F₈	[i]
59	No digital (1, 68, 15)-net over F₈	[i]
60	No digital (1, 69, 15)-net over F₈	[i]
61	No digital (1, 70, 15)-net over F₈	[i]
62	No digital (1, 71, 15)-net over F₈	[i]
63	No digital (1, 72, 15)-net over F₈	[i]
64	No digital (1, 73, 15)-net over F₈	[i]
65	No digital (1, 74, 15)-net over F₈	[i]
66	No digital (1, 75, 15)-net over F₈	[i]
67	No digital (1, 76, 15)-net over F₈	[i]
68	No digital (1, 77, 15)-net over F₈	[i]
69	No digital (1, 78, 15)-net over F₈	[i]
70	No digital (1, 79, 15)-net over F₈	[i]
71	No digital (1, 80, 15)-net over F₈	[i]
72	No digital (1, 81, 15)-net over F₈	[i]
73	No digital (1, 82, 15)-net over F₈	[i]
74	No digital (1, 83, 15)-net over F₈	[i]
75	No digital (1, 84, 15)-net over F₈	[i]
76	No digital (1, 85, 15)-net over F₈	[i]
77	No digital (1, 86, 15)-net over F₈	[i]
78	No digital (1, 87, 15)-net over F₈	[i]
79	No digital (1, 88, 15)-net over F₈	[i]
80	No digital (1, 89, 15)-net over F₈	[i]
81	No digital (1, 90, 15)-net over F₈	[i]
82	No digital (1, 91, 15)-net over F₈	[i]
83	No digital (1, 92, 15)-net over F₈	[i]
84	No digital (1, 93, 15)-net over F₈	[i]
85	No digital (1, 94, 15)-net over F₈	[i]
86	No digital (1, 95, 15)-net over F₈	[i]
87	No digital (1, 96, 15)-net over F₈	[i]
88	No digital (1, 97, 15)-net over F₈	[i]
89	No digital (1, 98, 15)-net over F₈	[i]
90	No digital (1, 99, 15)-net over F₈	[i]
91	No digital (1, 100, 15)-net over F₈	[i]
92	No digital (1, 101, 15)-net over F₈	[i]
93	No digital (1, 102, 15)-net over F₈	[i]
94	No digital (1, 103, 15)-net over F₈	[i]
95	No digital (1, 104, 15)-net over F₈	[i]
96	No digital (1, 105, 15)-net over F₈	[i]
97	No digital (1, 106, 15)-net over F₈	[i]
98	No digital (1, 107, 15)-net over F₈	[i]
99	No digital (1, 108, 15)-net over F₈	[i]
100	No digital (1, 109, 15)-net over F₈	[i]
101	No digital (1, 110, 15)-net over F₈	[i]
102	No digital (1, 111, 15)-net over F₈	[i]
103	No digital (1, 112, 15)-net over F₈	[i]
104	No digital (1, 113, 15)-net over F₈	[i]
105	No digital (1, 114, 15)-net over F₈	[i]
106	No digital (1, 115, 15)-net over F₈	[i]
107	No digital (1, 116, 15)-net over F₈	[i]
108	No digital (1, 117, 15)-net over F₈	[i]
109	No digital (1, 118, 15)-net over F₈	[i]
110	No digital (1, 119, 15)-net over F₈	[i]
111	No digital (1, 120, 15)-net over F₈	[i]
112	No digital (1, 121, 15)-net over F₈	[i]
113	No digital (1, 122, 15)-net over F₈	[i]
114	No digital (1, 123, 15)-net over F₈	[i]
115	No digital (1, 124, 15)-net over F₈	[i]
116	No digital (1, 125, 15)-net over F₈	[i]
117	No digital (1, 126, 15)-net over F₈	[i]
118	No digital (1, 127, 15)-net over F₈	[i]
119	No digital (1, 128, 15)-net over F₈	[i]
120	No digital (1, 129, 15)-net over F₈	[i]
121	No digital (1, 130, 15)-net over F₈	[i]
122	No digital (1, 131, 15)-net over F₈	[i]
123	No digital (1, 132, 15)-net over F₈	[i]
124	No digital (1, 133, 15)-net over F₈	[i]
125	No digital (1, 134, 15)-net over F₈	[i]
126	No digital (1, 135, 15)-net over F₈	[i]
127	No digital (1, 136, 15)-net over F₈	[i]
128	No digital (1, 137, 15)-net over F₈	[i]
129	No digital (1, 138, 15)-net over F₈	[i]
130	No digital (1, 139, 15)-net over F₈	[i]
131	No digital (1, 140, 15)-net over F₈	[i]
132	No digital (1, 141, 15)-net over F₈	[i]
133	No digital (1, 142, 15)-net over F₈	[i]
134	No digital (1, 143, 15)-net over F₈	[i]
135	No digital (1, 144, 15)-net over F₈	[i]
136	No digital (1, 145, 15)-net over F₈	[i]
137	No digital (1, 146, 15)-net over F₈	[i]
138	No digital (1, 147, 15)-net over F₈	[i]
139	No digital (1, 148, 15)-net over F₈	[i]
140	No digital (1, 149, 15)-net over F₈	[i]
141	No digital (1, 150, 15)-net over F₈	[i]
142	No digital (1, 151, 15)-net over F₈	[i]
143	No digital (1, 152, 15)-net over F₈	[i]
144	No digital (1, 153, 15)-net over F₈	[i]
145	No digital (1, 154, 15)-net over F₈	[i]
146	No digital (1, 155, 15)-net over F₈	[i]
147	No digital (1, 156, 15)-net over F₈	[i]
148	No digital (1, 157, 15)-net over F₈	[i]
149	No digital (1, 158, 15)-net over F₈	[i]
150	No digital (1, 159, 15)-net over F₈	[i]
151	No digital (1, 160, 15)-net over F₈	[i]
152	No digital (1, 161, 15)-net over F₈	[i]
153	No digital (1, 162, 15)-net over F₈	[i]
154	No digital (1, 163, 15)-net over F₈	[i]
155	No digital (1, 164, 15)-net over F₈	[i]
156	No digital (1, 165, 15)-net over F₈	[i]
157	No digital (1, 166, 15)-net over F₈	[i]
158	No digital (1, 167, 15)-net over F₈	[i]
159	No digital (1, 168, 15)-net over F₈	[i]
160	No digital (1, 169, 15)-net over F₈	[i]
161	No digital (1, 170, 15)-net over F₈	[i]
162	No digital (1, 171, 15)-net over F₈	[i]
163	No digital (1, 172, 15)-net over F₈	[i]
164	No digital (1, 173, 15)-net over F₈	[i]
165	No digital (1, m, 15)-net over F₈ for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net