MinT - Information on Result #598958

Information on Result #598958

There is no digital (15, 51, 54)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3⁵¹, 54, F₃, 36) (dual of [54, 3, 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 (15, 52, 54)-net over F₃	[i]		m-Reduction
2	No digital (15, 53, 54)-net over F₃	[i]
3	No digital (15, 54, 54)-net over F₃	[i]
4	No digital (15, 55, 54)-net over F₃	[i]
5	No digital (15, 56, 54)-net over F₃	[i]
6	No digital (15, 57, 54)-net over F₃	[i]
7	No digital (15, 58, 54)-net over F₃	[i]
8	No digital (15, 59, 54)-net over F₃	[i]
9	No digital (15, 60, 54)-net over F₃	[i]
10	No digital (15, 61, 54)-net over F₃	[i]
11	No digital (15, 62, 54)-net over F₃	[i]
12	No digital (15, 63, 54)-net over F₃	[i]
13	No digital (15, 64, 54)-net over F₃	[i]
14	No digital (15, 65, 54)-net over F₃	[i]
15	No digital (15, 66, 54)-net over F₃	[i]
16	No digital (15, 67, 54)-net over F₃	[i]
17	No digital (15, 68, 54)-net over F₃	[i]
18	No digital (15, 69, 54)-net over F₃	[i]
19	No digital (15, 70, 54)-net over F₃	[i]
20	No digital (15, 71, 54)-net over F₃	[i]
21	No digital (15, 72, 54)-net over F₃	[i]
22	No digital (15, 73, 54)-net over F₃	[i]
23	No digital (15, 74, 54)-net over F₃	[i]
24	No digital (15, 75, 54)-net over F₃	[i]
25	No digital (15, 76, 54)-net over F₃	[i]
26	No digital (15, 77, 54)-net over F₃	[i]
27	No digital (15, 78, 54)-net over F₃	[i]
28	No digital (15, 79, 54)-net over F₃	[i]
29	No digital (15, 80, 54)-net over F₃	[i]
30	No digital (15, 81, 54)-net over F₃	[i]