MinT - Information on Result #521363

Information on Result #521363

There is no (31, 220, 75)-net in base 3, because extracting embedded OOA would yield OOA(3²²⁰, 75, S₃, 3, 189), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 25005 745253 694267 115918 266546 661877 100947 851924 479155 683111 942268 320067 287614 161820 805837 058931 962084 566827 / 19 > 3²²⁰ [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 (31, 221, 75)-net in base 3	[i]		m-Reduction
2	No (31, 222, 75)-net in base 3	[i]
3	No (31, 223, 75)-net in base 3	[i]
4	No (31, 224, 75)-net in base 3	[i]
5	No (31, 225, 75)-net in base 3	[i]
6	No (31, 226, 75)-net in base 3	[i]
7	No (31, 227, 75)-net in base 3	[i]
8	No (31, 228, 75)-net in base 3	[i]
9	No (31, 229, 75)-net in base 3	[i]
10	No (31, 230, 75)-net in base 3	[i]
11	No (31, 231, 75)-net in base 3	[i]
12	No (31, 232, 75)-net in base 3	[i]
13	No (31, 233, 75)-net in base 3	[i]
14	No (31, 234, 75)-net in base 3	[i]
15	No (31, 235, 75)-net in base 3	[i]
16	No (31, 236, 75)-net in base 3	[i]
17	No (31, 237, 75)-net in base 3	[i]
18	No (31, 238, 75)-net in base 3	[i]
19	No (31, 239, 75)-net in base 3	[i]
20	No (31, 240, 75)-net in base 3	[i]
21	No (31, 241, 75)-net in base 3	[i]
22	No (31, 242, 75)-net in base 3	[i]
23	No (31, 243, 75)-net in base 3	[i]
24	No (31, 244, 75)-net in base 3	[i]
25	No (31, 245, 75)-net in base 3	[i]
26	No (31, 246, 75)-net in base 3	[i]
27	No (31, 247, 75)-net in base 3	[i]
28	No (31, 248, 75)-net in base 3	[i]
29	No (31, 249, 75)-net in base 3	[i]
30	No (31, 250, 75)-net in base 3	[i]