MinT - Information on Result #520163

Information on Result #520163

There is no (19, 103, 28)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁰³, 28, S₂, 4, 84), but

the LP bound with quadratic polynomials shows that MÂ â‰¥ 55 776626 410042 093665 854941 036544 / 5 > 2¹⁰³ [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 (19, 104, 28)-net in base 2	[i]		m-Reduction
2	No (19, 105, 28)-net in base 2	[i]
3	No (19, 106, 28)-net in base 2	[i]
4	No (19, 107, 28)-net in base 2	[i]
5	No (19, 108, 28)-net in base 2	[i]
6	No (19, 109, 28)-net in base 2	[i]
7	No (19, 110, 28)-net in base 2	[i]
8	No (19, 111, 28)-net in base 2	[i]
9	No (19, 112, 28)-net in base 2	[i]
10	No (19, 113, 28)-net in base 2	[i]
11	No (19, 114, 28)-net in base 2	[i]
12	No (19, 115, 28)-net in base 2	[i]
13	No (19, 116, 28)-net in base 2	[i]
14	No (19, 117, 28)-net in base 2	[i]
15	No (19, 118, 28)-net in base 2	[i]
16	No (19, 119, 28)-net in base 2	[i]
17	No (19, 120, 28)-net in base 2	[i]
18	No (19, 121, 28)-net in base 2	[i]
19	No (19, 122, 28)-net in base 2	[i]
20	No (19, 123, 28)-net in base 2	[i]
21	No (19, 124, 28)-net in base 2	[i]
22	No (19, 125, 28)-net in base 2	[i]
23	No (19, 126, 28)-net in base 2	[i]
24	No (19, 127, 28)-net in base 2	[i]