MinT - Information on Result #520597

Information on Result #520597

There is no (69, 139, 150)-net in base 2, because extracting embedded orthogonal array would yield OA(2¹³⁹, 150, S₂, 70), but

the linear programming bound shows that MÂ â‰¥ 6082 528252 899227 461853 867158 864840 600756 158464 / 8127 > 2¹³⁹ [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 (69, 140, 150)-net in base 2	[i]		m-Reduction
2	No (69, 141, 150)-net in base 2	[i]
3	No (69, 142, 150)-net in base 2	[i]
4	No (69, 143, 150)-net in base 2	[i]
5	No (69, 144, 150)-net in base 2	[i]
6	No (69, 145, 150)-net in base 2	[i]
7	No (69, 146, 150)-net in base 2	[i]
8	No (69, 147, 150)-net in base 2	[i]
9	No (69, 148, 150)-net in base 2	[i]
10	No (69, 149, 150)-net in base 2	[i]
11	No (69, 150, 150)-net in base 2	[i]
12	No (69, 151, 150)-net in base 2	[i]
13	No (69, 152, 150)-net in base 2	[i]
14	No (69, 153, 150)-net in base 2	[i]
15	No (69, 154, 150)-net in base 2	[i]