MinT - Information on Result #520315

Information on Result #520315

There is no (36, 107, 57)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁰⁷, 57, S₂, 2, 71), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 649 037107 316853 453566 312041 152512 / 3 > 2¹⁰⁷ [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 (36, 108, 57)-net in base 2	[i]		m-Reduction
2	No (36, 109, 57)-net in base 2	[i]
3	No (36, 110, 57)-net in base 2	[i]
4	No (36, 111, 57)-net in base 2	[i]
5	No (36, 112, 57)-net in base 2	[i]
6	No (36, 113, 57)-net in base 2	[i]
7	No (36, 114, 57)-net in base 2	[i]
8	No (36, 115, 57)-net in base 2	[i]
9	No (36, 116, 57)-net in base 2	[i]
10	No (36, 117, 57)-net in base 2	[i]
11	No (36, 118, 57)-net in base 2	[i]
12	No (36, 119, 57)-net in base 2	[i]
13	No (36, 120, 57)-net in base 2	[i]
14	No (36, 121, 57)-net in base 2	[i]
15	No (36, 122, 57)-net in base 2	[i]
16	No (36, 123, 57)-net in base 2	[i]
17	No (36, 124, 57)-net in base 2	[i]
18	No (36, 125, 57)-net in base 2	[i]
19	No (36, 126, 57)-net in base 2	[i]
20	No (36, 127, 57)-net in base 2	[i]
21	No (36, 128, 57)-net in base 2	[i]
22	No (36, 129, 57)-net in base 2	[i]
23	No (36, 130, 57)-net in base 2	[i]
24	No (36, 131, 57)-net in base 2	[i]
25	No (36, 132, 57)-net in base 2	[i]
26	No (36, 133, 57)-net in base 2	[i]
27	No (36, 134, 57)-net in base 2	[i]
28	No (36, 135, 57)-net in base 2	[i]
29	No (36, 136, 57)-net in base 2	[i]
30	No (36, 137, 57)-net in base 2	[i]
31	No (36, 138, 57)-net in base 2	[i]
32	No (36, 139, 57)-net in base 2	[i]