MinT - Information on Result #522196

Information on Result #522196

There is no (32, 226, 115)-net in base 4, because extracting embedded OOA would yield OOA(4²²⁶, 115, S₄, 2, 194), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 186070 713419 675363 980626 894819 329160 794532 188335 953423 432061 490990 243657 757029 868371 504908 982723 472783 555205 531204 141550 984858 016925 351936 / 13 > 4²²⁶ [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 (32, 227, 115)-net in base 4	[i]		m-Reduction
2	No (32, 228, 115)-net in base 4	[i]
3	No (32, 229, 115)-net in base 4	[i]
4	No (32, 230, 115)-net in base 4	[i]
5	No (32, 231, 115)-net in base 4	[i]
6	No (32, 232, 115)-net in base 4	[i]
7	No (32, 233, 115)-net in base 4	[i]
8	No (32, 234, 115)-net in base 4	[i]
9	No (32, 235, 115)-net in base 4	[i]
10	No (32, 236, 115)-net in base 4	[i]
11	No (32, 237, 115)-net in base 4	[i]
12	No (32, 238, 115)-net in base 4	[i]
13	No (32, 239, 115)-net in base 4	[i]
14	No (32, 240, 115)-net in base 4	[i]
15	No (32, 241, 115)-net in base 4	[i]
16	No (32, 242, 115)-net in base 4	[i]
17	No (32, 243, 115)-net in base 4	[i]
18	No (32, 244, 115)-net in base 4	[i]
19	No (32, 245, 115)-net in base 4	[i]
20	No (32, 246, 115)-net in base 4	[i]
21	No (32, 247, 115)-net in base 4	[i]
22	No (32, 248, 115)-net in base 4	[i]
23	No (32, 249, 115)-net in base 4	[i]
24	No (32, 250, 115)-net in base 4	[i]
25	No (32, 251, 115)-net in base 4	[i]
26	No (32, 252, 115)-net in base 4	[i]
27	No (32, 253, 115)-net in base 4	[i]
28	No (32, 254, 115)-net in base 4	[i]
29	No (32, 255, 115)-net in base 4	[i]
30	No (32, 256, 115)-net in base 4	[i]
31	No (32, 257, 115)-net in base 4	[i]
32	No (32, 258, 115)-net in base 4	[i]
33	No (32, 259, 115)-net in base 4	[i]
34	No (32, 260, 115)-net in base 4	[i]