MinT - Information on Result #520249

Information on Result #520249

There is no (29, 116, 41)-net in base 2, because extracting embedded OOA would yield OOA(2¹¹⁶, 41, S₂, 3, 87), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 1 163074 496311 801388 790831 177745 301504 / 11 > 2¹¹⁶ [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 (29, 117, 41)-net in base 2	[i]		m-Reduction
2	No (29, 118, 41)-net in base 2	[i]
3	No (29, 119, 41)-net in base 2	[i]
4	No (29, 120, 41)-net in base 2	[i]
5	No (29, 121, 41)-net in base 2	[i]
6	No (29, 122, 41)-net in base 2	[i]
7	No (29, 123, 41)-net in base 2	[i]
8	No (29, 124, 41)-net in base 2	[i]
9	No (29, 125, 41)-net in base 2	[i]
10	No (29, 126, 41)-net in base 2	[i]
11	No (29, 127, 41)-net in base 2	[i]
12	No (29, 128, 41)-net in base 2	[i]
13	No (29, 129, 41)-net in base 2	[i]
14	No (29, 130, 41)-net in base 2	[i]
15	No (29, 131, 41)-net in base 2	[i]
16	No (29, 132, 41)-net in base 2	[i]
17	No (29, 133, 41)-net in base 2	[i]
18	No (29, 134, 41)-net in base 2	[i]
19	No (29, 135, 41)-net in base 2	[i]
20	No (29, 136, 41)-net in base 2	[i]
21	No (29, 137, 41)-net in base 2	[i]
22	No (29, 138, 41)-net in base 2	[i]
23	No (29, 139, 41)-net in base 2	[i]
24	No (29, 140, 41)-net in base 2	[i]
25	No (29, 141, 41)-net in base 2	[i]
26	No (29, 142, 41)-net in base 2	[i]
27	No (29, 143, 41)-net in base 2	[i]
28	No (29, 144, 41)-net in base 2	[i]
29	No (29, 145, 41)-net in base 2	[i]
30	No (29, 146, 41)-net in base 2	[i]