MinT - Information on Result #598987

Information on Result #598987

There is no digital (32, 98, 105)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3⁹⁸, 105, F₃, 66) (dual of [105, 7, 67]-code), but

residual code [i] would yield linear OA(3³², 38, F₃, 22) (dual of [38, 6, 23]-code), but
- 1 times truncation [i] would yield linear OA(3³¹, 37, F₃, 21) (dual of [37, 6, 22]-code), but
  - â€œBouâ€ 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 (32, 99, 105)-net over F₃	[i]	m-Reduction
2	No digital (32, 100, 105)-net over F₃	[i]
3	No digital (32, 101, 105)-net over F₃	[i]
4	No digital (32, 102, 105)-net over F₃	[i]
5	No digital (32, 103, 105)-net over F₃	[i]
6	No digital (32, 104, 105)-net over F₃	[i]
7	No digital (32, 105, 105)-net over F₃	[i]
8	No digital (32, 106, 105)-net over F₃	[i]
9	No digital (32, 107, 105)-net over F₃	[i]
10	No digital (32, 108, 105)-net over F₃	[i]
11	No digital (32, 109, 105)-net over F₃	[i]
12	No digital (32, 110, 105)-net over F₃	[i]
13	No digital (32, 111, 105)-net over F₃	[i]
14	No digital (32, 112, 105)-net over F₃	[i]
15	No digital (32, 113, 105)-net over F₃	[i]
16	No digital (32, 114, 105)-net over F₃	[i]
17	No digital (32, 115, 105)-net over F₃	[i]
18	No digital (32, 116, 105)-net over F₃	[i]
19	No digital (32, 117, 105)-net over F₃	[i]
20	No digital (32, 118, 105)-net over F₃	[i]
21	No digital (32, 119, 105)-net over F₃	[i]
22	No digital (32, 120, 105)-net over F₃	[i]
23	No digital (32, 121, 105)-net over F₃	[i]
24	No digital (32, 122, 105)-net over F₃	[i]
25	No digital (32, 123, 105)-net over F₃	[i]
26	No digital (32, 124, 105)-net over F₃	[i]
27	No digital (32, 125, 105)-net over F₃	[i]
28	No digital (32, 126, 105)-net over F₃	[i]
29	No digital (32, 127, 105)-net over F₃	[i]
30	No digital (32, 128, 105)-net over F₃	[i]
31	No digital (32, 129, 105)-net over F₃	[i]
32	No digital (32, 130, 105)-net over F₃	[i]
33	No digital (32, 131, 105)-net over F₃	[i]
34	No digital (32, 132, 105)-net over F₃	[i]
35	No digital (32, 133, 105)-net over F₃	[i]
36	No digital (32, 134, 105)-net over F₃	[i]
37	No digital (32, 135, 105)-net over F₃	[i]
38	No digital (32, 136, 105)-net over F₃	[i]
39	No digital (32, 137, 105)-net over F₃	[i]
40	No digital (32, 138, 105)-net over F₃	[i]
41	No digital (32, 139, 105)-net over F₃	[i]
42	No digital (32, 140, 105)-net over F₃	[i]
43	No digital (32, 141, 105)-net over F₃	[i]
44	No digital (32, 142, 105)-net over F₃	[i]
45	No digital (32, 143, 105)-net over F₃	[i]
46	No digital (32, 144, 105)-net over F₃	[i]
47	No digital (32, 145, 105)-net over F₃	[i]
48	No digital (32, 146, 105)-net over F₃	[i]
49	No digital (32, 147, 105)-net over F₃	[i]
50	No digital (32, 148, 105)-net over F₃	[i]
51	No digital (32, 149, 105)-net over F₃	[i]
52	No digital (32, 150, 105)-net over F₃	[i]
53	No digital (32, 151, 105)-net over F₃	[i]
54	No digital (32, 152, 105)-net over F₃	[i]
55	No digital (32, 153, 105)-net over F₃	[i]
56	No digital (32, 154, 105)-net over F₃	[i]
57	No digital (32, 155, 105)-net over F₃	[i]
58	No digital (32, 156, 105)-net over F₃	[i]
59	No digital (32, 157, 105)-net over F₃	[i]
60	No digital (32, 158, 105)-net over F₃	[i]
61	No digital (32, 159, 105)-net over F₃	[i]