MinT - Information on Result #519204

Information on Result #519204

There is no (4, 48, 2812)-net in base 128, because the generalized Rao bound for nets shows that 128^mÂ â‰¥ 140417 822584 071944 770460 154931 018936 977601 663247 674921 957406 554173 074207 475708 863843 188087 852394 403654 > 128⁴⁸

Mode: Bound.

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 (4, 49, 2812)-net in base 128	[i]	m-Reduction
2	No (4, 50, 2812)-net in base 128	[i]
3	No (4, 51, 2812)-net in base 128	[i]
4	No (4, 52, 2812)-net in base 128	[i]
5	No (4, 53, 2812)-net in base 128	[i]
6	No (4, 54, 2812)-net in base 128	[i]
7	No (4, 55, 2812)-net in base 128	[i]
8	No (4, 56, 2812)-net in base 128	[i]
9	No (4, 57, 2812)-net in base 128	[i]
10	No (4, 58, 2812)-net in base 128	[i]
11	No (4, 59, 2812)-net in base 128	[i]
12	No (4, 60, 2812)-net in base 128	[i]
13	No (4, 61, 2812)-net in base 128	[i]
14	No (4, 62, 2812)-net in base 128	[i]
15	No (4, 63, 2812)-net in base 128	[i]
16	No (4, 64, 2812)-net in base 128	[i]
17	No (4, 65, 2812)-net in base 128	[i]
18	No (4, 66, 2812)-net in base 128	[i]
19	No (4, 67, 2812)-net in base 128	[i]
20	No (4, 68, 2812)-net in base 128	[i]
21	No (4, 69, 2812)-net in base 128	[i]
22	No (4, 70, 2812)-net in base 128	[i]
23	No (4, 71, 2812)-net in base 128	[i]
24	No (4, 72, 2812)-net in base 128	[i]
25	No (4, 73, 2812)-net in base 128	[i]
26	No (4, 74, 2812)-net in base 128	[i]
27	No (4, 75, 2812)-net in base 128	[i]
28	No (4, 76, 2812)-net in base 128	[i]
29	No (4, 77, 2812)-net in base 128	[i]
30	No (4, 78, 2812)-net in base 128	[i]