MinT - Information on Result #599220

Information on Result #599220

There is no digital (74, 224, 233)-net over F₃, because extracting embedded orthogonal array would yield linear OA(3²²⁴, 233, F₃, 150) (dual of [233, 9, 151]-code), but

residual code [i] would yield OA(3⁷⁴, 82, S₃, 50), but
- the linear programming bound shows that MÂ â‰¥ 1133 201025 509985 412089 971278 248938 614941 / 5015 > 3⁷⁴ [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 (74, 225, 233)-net over F₃	[i]	m-Reduction
2	No digital (74, 226, 233)-net over F₃	[i]
3	No digital (74, 227, 233)-net over F₃	[i]
4	No digital (74, 228, 233)-net over F₃	[i]
5	No digital (74, 229, 233)-net over F₃	[i]
6	No digital (74, 230, 233)-net over F₃	[i]
7	No digital (74, 231, 233)-net over F₃	[i]
8	No digital (74, 232, 233)-net over F₃	[i]
9	No digital (74, 233, 233)-net over F₃	[i]
10	No digital (74, 234, 233)-net over F₃	[i]
11	No digital (74, 235, 233)-net over F₃	[i]
12	No digital (74, 236, 233)-net over F₃	[i]
13	No digital (74, 237, 233)-net over F₃	[i]
14	No digital (74, 238, 233)-net over F₃	[i]
15	No digital (74, 239, 233)-net over F₃	[i]
16	No digital (74, 240, 233)-net over F₃	[i]
17	No digital (74, 241, 233)-net over F₃	[i]
18	No digital (74, 242, 233)-net over F₃	[i]
19	No digital (74, 243, 233)-net over F₃	[i]
20	No digital (74, 244, 233)-net over F₃	[i]
21	No digital (74, 245, 233)-net over F₃	[i]
22	No digital (74, 246, 233)-net over F₃	[i]
23	No digital (74, 247, 233)-net over F₃	[i]
24	No digital (74, 248, 233)-net over F₃	[i]
25	No digital (74, 249, 233)-net over F₃	[i]
26	No digital (74, 250, 233)-net over F₃	[i]