MinT - Information on Result #598961

Information on Result #598961

There is no digital (16, 52, 56)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3⁵², 56, F₃, 36) (dual of [56, 4, 37]-code), but

Griesmer bound [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 (16, 53, 56)-net over F₃	[i]		m-Reduction
2	No digital (16, 54, 56)-net over F₃	[i]
3	No digital (16, 55, 56)-net over F₃	[i]
4	No digital (16, 56, 56)-net over F₃	[i]
5	No digital (16, 57, 56)-net over F₃	[i]
6	No digital (16, 58, 56)-net over F₃	[i]
7	No digital (16, 59, 56)-net over F₃	[i]
8	No digital (16, 60, 56)-net over F₃	[i]
9	No digital (16, 61, 56)-net over F₃	[i]
10	No digital (16, 62, 56)-net over F₃	[i]
11	No digital (16, 63, 56)-net over F₃	[i]
12	No digital (16, 64, 56)-net over F₃	[i]
13	No digital (16, 65, 56)-net over F₃	[i]
14	No digital (16, 66, 56)-net over F₃	[i]
15	No digital (16, 67, 56)-net over F₃	[i]
16	No digital (16, 68, 56)-net over F₃	[i]
17	No digital (16, 69, 56)-net over F₃	[i]
18	No digital (16, 70, 56)-net over F₃	[i]
19	No digital (16, 71, 56)-net over F₃	[i]
20	No digital (16, 72, 56)-net over F₃	[i]
21	No digital (16, 73, 56)-net over F₃	[i]
22	No digital (16, 74, 56)-net over F₃	[i]
23	No digital (16, 75, 56)-net over F₃	[i]
24	No digital (16, 76, 56)-net over F₃	[i]
25	No digital (16, 77, 56)-net over F₃	[i]
26	No digital (16, 78, 56)-net over F₃	[i]
27	No digital (16, 79, 56)-net over F₃	[i]
28	No digital (16, 80, 56)-net over F₃	[i]
29	No digital (16, 81, 56)-net over F₃	[i]
30	No digital (16, 82, 56)-net over F₃	[i]
31	No digital (16, 83, 56)-net over F₃	[i]
32	No digital (16, 84, 56)-net over F₃	[i]
33	No digital (16, 85, 56)-net over F₃	[i]