MinT - Information on Result #599727

Information on Result #599727

There is no digital (9, 49, 53)-net over F₅, because extracting embedded orthogonal array would yield linear OA(5⁴⁹, 53, F₅, 40) (dual of [53, 4, 41]-code), but

residual code [i] would yield linear OA(5⁹, 12, F₅, 8) (dual of [12, 3, 9]-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 (9, 50, 53)-net over F₅	[i]	m-Reduction
2	No digital (9, 51, 53)-net over F₅	[i]
3	No digital (9, 52, 53)-net over F₅	[i]
4	No digital (9, 53, 53)-net over F₅	[i]
5	No digital (9, 54, 53)-net over F₅	[i]
6	No digital (9, 55, 53)-net over F₅	[i]
7	No digital (9, 56, 53)-net over F₅	[i]
8	No digital (9, 57, 53)-net over F₅	[i]
9	No digital (9, 58, 53)-net over F₅	[i]
10	No digital (9, 59, 53)-net over F₅	[i]
11	No digital (9, 60, 53)-net over F₅	[i]
12	No digital (9, 61, 53)-net over F₅	[i]
13	No digital (9, 62, 53)-net over F₅	[i]
14	No digital (9, 63, 53)-net over F₅	[i]
15	No digital (9, 64, 53)-net over F₅	[i]
16	No digital (9, 65, 53)-net over F₅	[i]
17	No digital (9, 66, 53)-net over F₅	[i]
18	No digital (9, 67, 53)-net over F₅	[i]
19	No digital (9, 68, 53)-net over F₅	[i]
20	No digital (9, 69, 53)-net over F₅	[i]
21	No digital (9, 70, 53)-net over F₅	[i]
22	No digital (9, 71, 53)-net over F₅	[i]
23	No digital (9, 72, 53)-net over F₅	[i]
24	No digital (9, 73, 53)-net over F₅	[i]
25	No digital (9, 74, 53)-net over F₅	[i]
26	No digital (9, 75, 53)-net over F₅	[i]
27	No digital (9, 76, 53)-net over F₅	[i]
28	No digital (9, 77, 53)-net over F₅	[i]
29	No digital (9, 78, 53)-net over F₅	[i]
30	No digital (9, 79, 53)-net over F₅	[i]
31	No digital (9, 80, 53)-net over F₅	[i]
32	No digital (9, 81, 53)-net over F₅	[i]
33	No digital (9, 82, 53)-net over F₅	[i]
34	No digital (9, 83, 53)-net over F₅	[i]
35	No digital (9, 84, 53)-net over F₅	[i]
36	No digital (9, 85, 53)-net over F₅	[i]
37	No digital (9, 86, 53)-net over F₅	[i]
38	No digital (9, 87, 53)-net over F₅	[i]
39	No digital (9, 88, 53)-net over F₅	[i]
40	No digital (9, 89, 53)-net over F₅	[i]
41	No digital (9, 90, 53)-net over F₅	[i]
42	No digital (9, 91, 53)-net over F₅	[i]
43	No digital (9, 92, 53)-net over F₅	[i]
44	No digital (9, 93, 53)-net over F₅	[i]
45	No digital (9, 94, 53)-net over F₅	[i]