MinT - Information on Result #523795

Information on Result #523795

There is no (1, 9, 74)-net in base 16, because extracting embedded orthogonal array would yield OA(16⁹, 74, S₁₆, 8), but

the linear programming bound shows that MÂ â‰¥ 108 985717 478079 332352 / 1552 440097 > 16⁹ [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

Generalized Rao Bound for Nets [i]

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	No (1, 10, 74)-net in base 16	[i]		m-Reduction
2	No (1, 11, 74)-net in base 16	[i]
3	No (1, 12, 74)-net in base 16	[i]
4	No (1, 13, 74)-net in base 16	[i]
5	No (1, 14, 74)-net in base 16	[i]
6	No (1, 15, 74)-net in base 16	[i]
7	No (1, 16, 74)-net in base 16	[i]
8	No (1, 17, 74)-net in base 16	[i]
9	No (1, 18, 74)-net in base 16	[i]
10	No (1, 19, 74)-net in base 16	[i]
11	No (1, 20, 74)-net in base 16	[i]