MinT - Information on Result #599378

Information on Result #599378

There is no digital (14, 58, 64)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4⁵⁸, 64, F₄, 44) (dual of [64, 6, 45]-code), but

residual code [i] would yield linear OA(4¹⁴, 19, F₄, 11) (dual of [19, 5, 12]-code), but
- 1 times truncation [i] would yield linear OA(4¹³, 18, F₄, 10) (dual of [18, 5, 11]-code), but
  - â€œLizâ€ 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 (14, 59, 64)-net over F₄	[i]	m-Reduction
2	No digital (14, 60, 64)-net over F₄	[i]
3	No digital (14, 61, 64)-net over F₄	[i]
4	No digital (14, 62, 64)-net over F₄	[i]
5	No digital (14, 63, 64)-net over F₄	[i]
6	No digital (14, 64, 64)-net over F₄	[i]
7	No digital (14, 65, 64)-net over F₄	[i]
8	No digital (14, 66, 64)-net over F₄	[i]
9	No digital (14, 67, 64)-net over F₄	[i]
10	No digital (14, 68, 64)-net over F₄	[i]
11	No digital (14, 69, 64)-net over F₄	[i]
12	No digital (14, 70, 64)-net over F₄	[i]
13	No digital (14, 71, 64)-net over F₄	[i]
14	No digital (14, 72, 64)-net over F₄	[i]
15	No digital (14, 73, 64)-net over F₄	[i]
16	No digital (14, 74, 64)-net over F₄	[i]
17	No digital (14, 75, 64)-net over F₄	[i]
18	No digital (14, 76, 64)-net over F₄	[i]
19	No digital (14, 77, 64)-net over F₄	[i]
20	No digital (14, 78, 64)-net over F₄	[i]
21	No digital (14, 79, 64)-net over F₄	[i]
22	No digital (14, 80, 64)-net over F₄	[i]
23	No digital (14, 81, 64)-net over F₄	[i]
24	No digital (14, 82, 64)-net over F₄	[i]
25	No digital (14, 83, 64)-net over F₄	[i]
26	No digital (14, 84, 64)-net over F₄	[i]
27	No digital (14, 85, 64)-net over F₄	[i]
28	No digital (14, 86, 64)-net over F₄	[i]
29	No digital (14, 87, 64)-net over F₄	[i]
30	No digital (14, 88, 64)-net over F₄	[i]
31	No digital (14, 89, 64)-net over F₄	[i]
32	No digital (14, 90, 64)-net over F₄	[i]
33	No digital (14, 91, 64)-net over F₄	[i]
34	No digital (14, 92, 64)-net over F₄	[i]
35	No digital (14, 93, 64)-net over F₄	[i]
36	No digital (14, 94, 64)-net over F₄	[i]
37	No digital (14, 95, 64)-net over F₄	[i]
38	No digital (14, 96, 64)-net over F₄	[i]
39	No digital (14, 97, 64)-net over F₄	[i]
40	No digital (14, 98, 64)-net over F₄	[i]
41	No digital (14, 99, 64)-net over F₄	[i]
42	No digital (14, 100, 64)-net over F₄	[i]
43	No digital (14, 101, 64)-net over F₄	[i]
44	No digital (14, 102, 64)-net over F₄	[i]
45	No digital (14, 103, 64)-net over F₄	[i]
46	No digital (14, 104, 64)-net over F₄	[i]
47	No digital (14, 105, 64)-net over F₄	[i]
48	No digital (14, 106, 64)-net over F₄	[i]
49	No digital (14, 107, 64)-net over F₄	[i]