MinT - Information on Result #520328

Information on Result #520328

There is no (37, 223, 46)-net in base 2, because extracting embedded OOA would yield OOA(2²²³, 46, S₂, 5, 186), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 2695 994666 715063 979466 701508 701963 067363 714442 254057 248110 361024 921600 / 187 > 2²²³ [i]

Mode: Bound.

None.

The following results depend on this result:

	Result		Method
1	No (37, 224, 46)-net in base 2	[i]	m-Reduction
2	No (37, 225, 46)-net in base 2	[i]
3	No (37, 226, 46)-net in base 2	[i]
4	No (37, 227, 46)-net in base 2	[i]
5	No (37, 228, 46)-net in base 2	[i]
6	No (37, 229, 46)-net in base 2	[i]
7	No (37, 230, 46)-net in base 2	[i]
8	No (37, 231, 46)-net in base 2	[i]
9	No (37, 232, 46)-net in base 2	[i]
10	No (37, 233, 46)-net in base 2	[i]
11	No (37, 234, 46)-net in base 2	[i]
12	No (37, 235, 46)-net in base 2	[i]
13	No (37, 236, 46)-net in base 2	[i]
14	No (37, 237, 46)-net in base 2	[i]
15	No (37, 238, 46)-net in base 2	[i]
16	No (37, 239, 46)-net in base 2	[i]
17	No (37, 240, 46)-net in base 2	[i]
18	No (37, 241, 46)-net in base 2	[i]
19	No (37, 242, 46)-net in base 2	[i]
20	No (37, 243, 46)-net in base 2	[i]
21	No (37, 244, 46)-net in base 2	[i]
22	No (37, 245, 46)-net in base 2	[i]
23	No (37, 246, 46)-net in base 2	[i]
24	No (37, 247, 46)-net in base 2	[i]
25	No (37, 248, 46)-net in base 2	[i]
26	No (37, 249, 46)-net in base 2	[i]
27	No (37, 250, 46)-net in base 2	[i]
28	No (37, 251, 46)-net in base 2	[i]
29	No (37, 252, 46)-net in base 2	[i]
30	No (37, 253, 46)-net in base 2	[i]
31	No (37, 254, 46)-net in base 2	[i]
32	No (37, 255, 46)-net in base 2	[i]
33	No (37, 256, 46)-net in base 2	[i]
34	No (37, 257, 46)-net in base 2	[i]
35	No (37, 258, 46)-net in base 2	[i]
36	No (37, 259, 46)-net in base 2	[i]
37	No (37, 260, 46)-net in base 2	[i]
38	No (37, m, 46)-net in base 2 for arbitrarily large m	[i]	m-Reduction from Arbitrarily Large Net