MinT - Information on Result #599820

Information on Result #599820

There is no digital (9, 73, 80)-net over F₈, because extracting embedded orthogonal array would yield linear OA(8⁷³, 80, F₈, 64) (dual of [80, 7, 65]-code), but

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