MinT - Information on Result #598954

Information on Result #598954

There is no digital (14, 44, 50)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3⁴⁴, 50, F₃, 30) (dual of [50, 6, 31]-code), but

â€œHJLâ€ 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		This result only	Method
1	No digital (14, 45, 50)-net over F₃	[i]		m-Reduction
2	No digital (14, 46, 50)-net over F₃	[i]
3	No digital (14, 47, 50)-net over F₃	[i]
4	No digital (14, 48, 50)-net over F₃	[i]
5	No digital (14, 49, 50)-net over F₃	[i]
6	No digital (14, 50, 50)-net over F₃	[i]
7	No digital (14, 51, 50)-net over F₃	[i]
8	No digital (14, 52, 50)-net over F₃	[i]
9	No digital (14, 53, 50)-net over F₃	[i]
10	No digital (14, 54, 50)-net over F₃	[i]
11	No digital (14, 55, 50)-net over F₃	[i]
12	No digital (14, 56, 50)-net over F₃	[i]
13	No digital (14, 57, 50)-net over F₃	[i]
14	No digital (14, 58, 50)-net over F₃	[i]
15	No digital (14, 59, 50)-net over F₃	[i]
16	No digital (14, 60, 50)-net over F₃	[i]
17	No digital (14, 61, 50)-net over F₃	[i]
18	No digital (14, 62, 50)-net over F₃	[i]
19	No digital (14, 63, 50)-net over F₃	[i]
20	No digital (14, 64, 50)-net over F₃	[i]
21	No digital (14, 65, 50)-net over F₃	[i]
22	No digital (14, 66, 50)-net over F₃	[i]
23	No digital (14, 67, 50)-net over F₃	[i]
24	No digital (14, 68, 50)-net over F₃	[i]
25	No digital (14, 69, 50)-net over F₃	[i]
26	No digital (14, 70, 50)-net over F₃	[i]
27	No digital (14, 71, 50)-net over F₃	[i]
28	No digital (14, 72, 50)-net over F₃	[i]
29	No digital (14, 73, 50)-net over F₃	[i]
30	No digital (14, 74, 50)-net over F₃	[i]
31	No digital (14, 75, 50)-net over F₃	[i]
32	No digital (14, 76, 50)-net over F₃	[i]
33	No digital (14, 77, 50)-net over F₃	[i]