MinT - Information on Result #599375

Information on Result #599375

There is no digital (13, 53, 59)-net over F₄, because extracting embedded orthogonal array would yield linear OA(4⁵³, 59, F₄, 40) (dual of [59, 6, 41]-code), but

residual code [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 (13, 54, 59)-net over F₄	[i]	m-Reduction
2	No digital (13, 55, 59)-net over F₄	[i]
3	No digital (13, 56, 59)-net over F₄	[i]
4	No digital (13, 57, 59)-net over F₄	[i]
5	No digital (13, 58, 59)-net over F₄	[i]
6	No digital (13, 59, 59)-net over F₄	[i]
7	No digital (13, 60, 59)-net over F₄	[i]
8	No digital (13, 61, 59)-net over F₄	[i]
9	No digital (13, 62, 59)-net over F₄	[i]
10	No digital (13, 63, 59)-net over F₄	[i]
11	No digital (13, 64, 59)-net over F₄	[i]
12	No digital (13, 65, 59)-net over F₄	[i]
13	No digital (13, 66, 59)-net over F₄	[i]
14	No digital (13, 67, 59)-net over F₄	[i]
15	No digital (13, 68, 59)-net over F₄	[i]
16	No digital (13, 69, 59)-net over F₄	[i]
17	No digital (13, 70, 59)-net over F₄	[i]
18	No digital (13, 71, 59)-net over F₄	[i]
19	No digital (13, 72, 59)-net over F₄	[i]
20	No digital (13, 73, 59)-net over F₄	[i]
21	No digital (13, 74, 59)-net over F₄	[i]
22	No digital (13, 75, 59)-net over F₄	[i]
23	No digital (13, 76, 59)-net over F₄	[i]
24	No digital (13, 77, 59)-net over F₄	[i]
25	No digital (13, 78, 59)-net over F₄	[i]
26	No digital (13, 79, 59)-net over F₄	[i]
27	No digital (13, 80, 59)-net over F₄	[i]
28	No digital (13, 81, 59)-net over F₄	[i]
29	No digital (13, 82, 59)-net over F₄	[i]
30	No digital (13, 83, 59)-net over F₄	[i]
31	No digital (13, 84, 59)-net over F₄	[i]
32	No digital (13, 85, 59)-net over F₄	[i]
33	No digital (13, 86, 59)-net over F₄	[i]
34	No digital (13, 87, 59)-net over F₄	[i]
35	No digital (13, 88, 59)-net over F₄	[i]
36	No digital (13, 89, 59)-net over F₄	[i]
37	No digital (13, 90, 59)-net over F₄	[i]
38	No digital (13, 91, 59)-net over F₄	[i]
39	No digital (13, 92, 59)-net over F₄	[i]
40	No digital (13, 93, 59)-net over F₄	[i]
41	No digital (13, 94, 59)-net over F₄	[i]
42	No digital (13, 95, 59)-net over F₄	[i]
43	No digital (13, 96, 59)-net over F₄	[i]
44	No digital (13, 97, 59)-net over F₄	[i]
45	No digital (13, 98, 59)-net over F₄	[i]
46	No digital (13, 99, 59)-net over F₄	[i]
47	No digital (13, 100, 59)-net over F₄	[i]