MinT - Information on Result #521840

Information on Result #521840

There is no (10, 81, 43)-net in base 4, because extracting embedded OOA would yield OOA(4⁸¹, 43, S₄, 2, 71), but

the LP bound with quadratic polynomials shows that MÂ â‰¥ 20 461022 922632 640854 851587 658027 962275 183055 601664 / 3 > 4⁸¹ [i]

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		This result only	Method
1	No (10, 82, 43)-net in base 4	[i]		m-Reduction
2	No (10, 83, 43)-net in base 4	[i]
3	No (10, 84, 43)-net in base 4	[i]
4	No (10, 85, 43)-net in base 4	[i]
5	No (10, 86, 43)-net in base 4	[i]
6	No (10, 87, 43)-net in base 4	[i]
7	No (10, 88, 43)-net in base 4	[i]
8	No (10, 89, 43)-net in base 4	[i]
9	No (10, 90, 43)-net in base 4	[i]
10	No (10, 91, 43)-net in base 4	[i]
11	No (10, 92, 43)-net in base 4	[i]
12	No (10, 93, 43)-net in base 4	[i]
13	No (10, 94, 43)-net in base 4	[i]
14	No (10, 95, 43)-net in base 4	[i]
15	No (10, 96, 43)-net in base 4	[i]
16	No (10, 97, 43)-net in base 4	[i]
17	No (10, 98, 43)-net in base 4	[i]
18	No (10, 99, 43)-net in base 4	[i]
19	No (10, 100, 43)-net in base 4	[i]
20	No (10, 101, 43)-net in base 4	[i]
21	No (10, 102, 43)-net in base 4	[i]
22	No (10, 103, 43)-net in base 4	[i]
23	No (10, 104, 43)-net in base 4	[i]
24	No (10, 105, 43)-net in base 4	[i]
25	No (10, 106, 43)-net in base 4	[i]
26	No (10, 107, 43)-net in base 4	[i]
27	No (10, 108, 43)-net in base 4	[i]
28	No (10, 109, 43)-net in base 4	[i]
29	No (10, 110, 43)-net in base 4	[i]
30	No (10, 111, 43)-net in base 4	[i]
31	No (10, 112, 43)-net in base 4	[i]
32	No (10, 113, 43)-net in base 4	[i]
33	No (10, 114, 43)-net in base 4	[i]
34	No (10, 115, 43)-net in base 4	[i]
35	No (10, 116, 43)-net in base 4	[i]
36	No (10, 117, 43)-net in base 4	[i]
37	No (10, 118, 43)-net in base 4	[i]