MinT - Information on Result #599121

Information on Result #599121

There is no digital (61, 187, 193)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3¹⁸⁷, 193, F₃, 126) (dual of [193, 6, 127]-code), but

residual code [i] would yield linear OA(3⁶¹, 66, F₃, 42) (dual of [66, 5, 43]-code), but
- residual code [i] would yield linear OA(3¹⁹, 23, F₃, 14) (dual of [23, 4, 15]-code), but
  - 2 times truncation [i] would yield linear OA(3¹⁷, 21, F₃, 12) (dual of [21, 4, 13]-code), but
    - â€œHNâ€ 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 (61, 188, 193)-net over F₃	[i]	m-Reduction
2	No digital (61, 189, 193)-net over F₃	[i]
3	No digital (61, 190, 193)-net over F₃	[i]
4	No digital (61, 191, 193)-net over F₃	[i]
5	No digital (61, 192, 193)-net over F₃	[i]
6	No digital (61, 193, 193)-net over F₃	[i]
7	No digital (61, 194, 193)-net over F₃	[i]
8	No digital (61, 195, 193)-net over F₃	[i]
9	No digital (61, 196, 193)-net over F₃	[i]
10	No digital (61, 197, 193)-net over F₃	[i]
11	No digital (61, 198, 193)-net over F₃	[i]
12	No digital (61, 199, 193)-net over F₃	[i]
13	No digital (61, 200, 193)-net over F₃	[i]
14	No digital (61, 201, 193)-net over F₃	[i]
15	No digital (61, 202, 193)-net over F₃	[i]
16	No digital (61, 203, 193)-net over F₃	[i]
17	No digital (61, 204, 193)-net over F₃	[i]
18	No digital (61, 205, 193)-net over F₃	[i]
19	No digital (61, 206, 193)-net over F₃	[i]
20	No digital (61, 207, 193)-net over F₃	[i]
21	No digital (61, 208, 193)-net over F₃	[i]
22	No digital (61, 209, 193)-net over F₃	[i]
23	No digital (61, 210, 193)-net over F₃	[i]
24	No digital (61, 211, 193)-net over F₃	[i]
25	No digital (61, 212, 193)-net over F₃	[i]
26	No digital (61, 213, 193)-net over F₃	[i]
27	No digital (61, 214, 193)-net over F₃	[i]
28	No digital (61, 215, 193)-net over F₃	[i]
29	No digital (61, 216, 193)-net over F₃	[i]
30	No digital (61, 217, 193)-net over F₃	[i]
31	No digital (61, 218, 193)-net over F₃	[i]
32	No digital (61, 219, 193)-net over F₃	[i]
33	No digital (61, 220, 193)-net over F₃	[i]
34	No digital (61, 221, 193)-net over F₃	[i]
35	No digital (61, 222, 193)-net over F₃	[i]
36	No digital (61, 223, 193)-net over F₃	[i]
37	No digital (61, 224, 193)-net over F₃	[i]
38	No digital (61, 225, 193)-net over F₃	[i]
39	No digital (61, 226, 193)-net over F₃	[i]
40	No digital (61, 227, 193)-net over F₃	[i]
41	No digital (61, 228, 193)-net over F₃	[i]
42	No digital (61, 229, 193)-net over F₃	[i]
43	No digital (61, 230, 193)-net over F₃	[i]
44	No digital (61, 231, 193)-net over F₃	[i]
45	No digital (61, 232, 193)-net over F₃	[i]
46	No digital (61, 233, 193)-net over F₃	[i]
47	No digital (61, 234, 193)-net over F₃	[i]
48	No digital (61, 235, 193)-net over F₃	[i]
49	No digital (61, 236, 193)-net over F₃	[i]
50	No digital (61, 237, 193)-net over F₃	[i]
51	No digital (61, 238, 193)-net over F₃	[i]
52	No digital (61, 239, 193)-net over F₃	[i]
53	No digital (61, 240, 193)-net over F₃	[i]
54	No digital (61, 241, 193)-net over F₃	[i]
55	No digital (61, 242, 193)-net over F₃	[i]
56	No digital (61, 243, 193)-net over F₃	[i]
57	No digital (61, 244, 193)-net over F₃	[i]
58	No digital (61, 245, 193)-net over F₃	[i]
59	No digital (61, 246, 193)-net over F₃	[i]
60	No digital (61, 247, 193)-net over F₃	[i]
61	No digital (61, 248, 193)-net over F₃	[i]
62	No digital (61, 249, 193)-net over F₃	[i]
63	No digital (61, 250, 193)-net over F₃	[i]