MinT - Information on Result #599898

Information on Result #599898

There is no digital (1, 31, 34)-net over F₁₆, because extracting embedded orthogonal array would yield linear OA(16³¹, 34, F₁₆, 30) (dual of [34, 3, 31]-code), but

bound for almost-MDS-codes with dimension nÂ =Â 3 [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, 32, 34)-net over F₁₆	[i]	m-Reduction
2	No digital (1, 33, 34)-net over F₁₆	[i]
3	No digital (1, 34, 34)-net over F₁₆	[i]
4	No digital (1, 35, 34)-net over F₁₆	[i]
5	No digital (1, 36, 34)-net over F₁₆	[i]
6	No digital (1, 37, 34)-net over F₁₆	[i]
7	No digital (1, 38, 34)-net over F₁₆	[i]
8	No digital (1, 39, 34)-net over F₁₆	[i]
9	No digital (1, 40, 34)-net over F₁₆	[i]
10	No digital (1, 41, 34)-net over F₁₆	[i]
11	No digital (1, 42, 34)-net over F₁₆	[i]
12	No digital (1, 43, 34)-net over F₁₆	[i]
13	No digital (1, 44, 34)-net over F₁₆	[i]
14	No digital (1, 45, 34)-net over F₁₆	[i]
15	No digital (1, 46, 34)-net over F₁₆	[i]
16	No digital (1, 47, 34)-net over F₁₆	[i]
17	No digital (1, 48, 34)-net over F₁₆	[i]
18	No digital (1, 49, 34)-net over F₁₆	[i]
19	No digital (1, 50, 34)-net over F₁₆	[i]
20	No digital (1, 51, 34)-net over F₁₆	[i]
21	No digital (1, 52, 34)-net over F₁₆	[i]
22	No digital (1, 53, 34)-net over F₁₆	[i]
23	No digital (1, 54, 34)-net over F₁₆	[i]
24	No digital (1, 55, 34)-net over F₁₆	[i]
25	No digital (1, 56, 34)-net over F₁₆	[i]
26	No digital (1, 57, 34)-net over F₁₆	[i]
27	No digital (1, 58, 34)-net over F₁₆	[i]
28	No digital (1, 59, 34)-net over F₁₆	[i]
29	No digital (1, 60, 34)-net over F₁₆	[i]
30	No digital (1, 61, 34)-net over F₁₆	[i]
31	No digital (1, 62, 34)-net over F₁₆	[i]
32	No digital (1, 63, 34)-net over F₁₆	[i]
33	No digital (1, 64, 34)-net over F₁₆	[i]
34	No digital (1, 65, 34)-net over F₁₆	[i]
35	No digital (1, 66, 34)-net over F₁₆	[i]
36	No digital (1, 67, 34)-net over F₁₆	[i]
37	No digital (1, 68, 34)-net over F₁₆	[i]
38	No digital (1, 69, 34)-net over F₁₆	[i]
39	No digital (1, 70, 34)-net over F₁₆	[i]
40	No digital (1, 71, 34)-net over F₁₆	[i]
41	No digital (1, 72, 34)-net over F₁₆	[i]
42	No digital (1, 73, 34)-net over F₁₆	[i]
43	No digital (1, 74, 34)-net over F₁₆	[i]
44	No digital (1, 75, 34)-net over F₁₆	[i]
45	No digital (1, 76, 34)-net over F₁₆	[i]
46	No digital (1, 77, 34)-net over F₁₆	[i]
47	No digital (1, 78, 34)-net over F₁₆	[i]
48	No digital (1, 79, 34)-net over F₁₆	[i]
49	No digital (1, 80, 34)-net over F₁₆	[i]
50	No digital (1, 81, 34)-net over F₁₆	[i]
51	No digital (1, 82, 34)-net over F₁₆	[i]
52	No digital (1, 83, 34)-net over F₁₆	[i]
53	No digital (1, 84, 34)-net over F₁₆	[i]
54	No digital (1, 85, 34)-net over F₁₆	[i]
55	No digital (1, 86, 34)-net over F₁₆	[i]
56	No digital (1, 87, 34)-net over F₁₆	[i]
57	No digital (1, 88, 34)-net over F₁₆	[i]
58	No digital (1, 89, 34)-net over F₁₆	[i]
59	No digital (1, 90, 34)-net over F₁₆	[i]
60	No digital (1, 91, 34)-net over F₁₆	[i]
61	No digital (1, 92, 34)-net over F₁₆	[i]
62	No digital (1, 93, 34)-net over F₁₆	[i]
63	No digital (1, 94, 34)-net over F₁₆	[i]
64	No digital (1, 95, 34)-net over F₁₆	[i]
65	No digital (1, 96, 34)-net over F₁₆	[i]
66	No digital (1, 97, 34)-net over F₁₆	[i]
67	No digital (1, 98, 34)-net over F₁₆	[i]
68	No digital (1, 99, 34)-net over F₁₆	[i]
69	No digital (1, 100, 34)-net over F₁₆	[i]
70	No digital (1, 101, 34)-net over F₁₆	[i]
71	No digital (1, 102, 34)-net over F₁₆	[i]
72	No digital (1, 103, 34)-net over F₁₆	[i]
73	No digital (1, 104, 34)-net over F₁₆	[i]
74	No digital (1, 105, 34)-net over F₁₆	[i]
75	No digital (1, 106, 34)-net over F₁₆	[i]
76	No digital (1, 107, 34)-net over F₁₆	[i]
77	No digital (1, 108, 34)-net over F₁₆	[i]
78	No digital (1, 109, 34)-net over F₁₆	[i]
79	No digital (1, 110, 34)-net over F₁₆	[i]
80	No digital (1, 111, 34)-net over F₁₆	[i]
81	No digital (1, 112, 34)-net over F₁₆	[i]
82	No digital (1, 113, 34)-net over F₁₆	[i]
83	No digital (1, 114, 34)-net over F₁₆	[i]
84	No digital (1, 115, 34)-net over F₁₆	[i]
85	No digital (1, 116, 34)-net over F₁₆	[i]
86	No digital (1, 117, 34)-net over F₁₆	[i]
87	No digital (1, 118, 34)-net over F₁₆	[i]
88	No digital (1, 119, 34)-net over F₁₆	[i]
89	No digital (1, 120, 34)-net over F₁₆	[i]
90	No digital (1, 121, 34)-net over F₁₆	[i]
91	No digital (1, 122, 34)-net over F₁₆	[i]
92	No digital (1, 123, 34)-net over F₁₆	[i]
93	No digital (1, 124, 34)-net over F₁₆	[i]
94	No digital (1, 125, 34)-net over F₁₆	[i]
95	No digital (1, 126, 34)-net over F₁₆	[i]
96	No digital (1, 127, 34)-net over F₁₆	[i]
97	No digital (1, 128, 34)-net over F₁₆	[i]
98	No digital (1, 129, 34)-net over F₁₆	[i]
99	No digital (1, 130, 34)-net over F₁₆	[i]
100	No digital (1, m, 34)-net over F₁₆ for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net