MinT - Information on Result #520084

Information on Result #520084

There is no (9, 28, 19)-net in base 2, because extracting embedded OOA would yield OOA(2²⁸, 19, S₂, 2, 19), but

the linear programming bound for OOAs shows that MÂ â‰¥ 21501 452180 765571 809280 / 74 685598 169693 > 2²⁸ [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 (9, 29, 19)-net in base 2	[i]		m-Reduction
2	No (9, 30, 19)-net in base 2	[i]
3	No (9, 31, 19)-net in base 2	[i]
4	No (9, 32, 19)-net in base 2	[i]
5	No (9, 33, 19)-net in base 2	[i]
6	No (9, 34, 19)-net in base 2	[i]
7	No (9, 35, 19)-net in base 2	[i]
8	No (9, 36, 19)-net in base 2	[i]
9	No (9, 37, 19)-net in base 2	[i]
10	No (9, 38, 19)-net in base 2	[i]
11	No (9, 39, 19)-net in base 2	[i]
12	No (9, 40, 19)-net in base 2	[i]
13	No (9, 41, 19)-net in base 2	[i]
14	No (9, 42, 19)-net in base 2	[i]
15	No (9, 43, 19)-net in base 2	[i]