MinT - Information on Result #522359

Information on Result #522359

There is no (54, 227, 231)-net in base 4, because extracting embedded orthogonal array would yield OA(4²²⁷, 231, S₄, 173), but

the (dual) Plotkin bound shows that MÂ â‰¥ 1 488565 707357 402911 845015 158554 633286 356257 506687 627387 456491 927921 949262 056238 946972 039271 861787 782268 441644 249633 132407 878864 135402 815488 / 29 > 4²²⁷ [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 (54, 228, 231)-net in base 4	[i]		m-Reduction
2	No (54, 229, 231)-net in base 4	[i]
3	No (54, 230, 231)-net in base 4	[i]
4	No (54, 231, 231)-net in base 4	[i]
5	No (54, 232, 231)-net in base 4	[i]
6	No (54, 233, 231)-net in base 4	[i]
7	No (54, 234, 231)-net in base 4	[i]
8	No (54, 235, 231)-net in base 4	[i]
9	No (54, 236, 231)-net in base 4	[i]
10	No (54, 237, 231)-net in base 4	[i]
11	No (54, 238, 231)-net in base 4	[i]
12	No (54, 239, 231)-net in base 4	[i]
13	No (54, 240, 231)-net in base 4	[i]
14	No (54, 241, 231)-net in base 4	[i]
15	No (54, 242, 231)-net in base 4	[i]
16	No (54, 243, 231)-net in base 4	[i]
17	No (54, 244, 231)-net in base 4	[i]
18	No (54, 245, 231)-net in base 4	[i]
19	No (54, 246, 231)-net in base 4	[i]
20	No (54, 247, 231)-net in base 4	[i]
21	No (54, 248, 231)-net in base 4	[i]
22	No (54, 249, 231)-net in base 4	[i]
23	No (54, 250, 231)-net in base 4	[i]
24	No (54, 251, 231)-net in base 4	[i]
25	No (54, 252, 231)-net in base 4	[i]
26	No (54, 253, 231)-net in base 4	[i]
27	No (54, 254, 231)-net in base 4	[i]
28	No (54, 255, 231)-net in base 4	[i]
29	No (54, 256, 231)-net in base 4	[i]
30	No (54, 257, 231)-net in base 4	[i]
31	No (54, 258, 231)-net in base 4	[i]
32	No (54, 259, 231)-net in base 4	[i]
33	No (54, 260, 231)-net in base 4	[i]