MinT - Information on Result #523743

Information on Result #523743

There is no (13, 66, 287)-net in base 9, because extracting embedded orthogonal array would yield OA(9⁶⁶, 287, S₉, 53), but

the linear programming bound shows that MÂ â‰¥ 4 701185 910622 895400 692972 864147 915182 309494 400566 046227 107459 723312 543397 223585 106747 703482 267203 702093 832310 441601 420674 771422 961528 459375 / 4501 341323 225343 451656 715832 334722 302456 067665 665734 100769 909721 334710 622719 > 9⁶⁶ [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 (13, 67, 287)-net in base 9	[i]		m-Reduction
2	No (13, 68, 287)-net in base 9	[i]
3	No (13, 69, 287)-net in base 9	[i]
4	No (13, 70, 287)-net in base 9	[i]
5	No (13, 71, 287)-net in base 9	[i]
6	No (13, 72, 287)-net in base 9	[i]
7	No (13, 73, 287)-net in base 9	[i]
8	No (13, 74, 287)-net in base 9	[i]
9	No (13, 75, 287)-net in base 9	[i]
10	No (13, 76, 287)-net in base 9	[i]
11	No (13, 77, 287)-net in base 9	[i]
12	No (13, 78, 287)-net in base 9	[i]
13	No (13, 79, 287)-net in base 9	[i]
14	No (13, 80, 287)-net in base 9	[i]
15	No (13, 81, 287)-net in base 9	[i]
16	No (13, 82, 287)-net in base 9	[i]
17	No (13, 83, 287)-net in base 9	[i]
18	No (13, 84, 287)-net in base 9	[i]
19	No (13, 85, 287)-net in base 9	[i]
20	No (13, 86, 287)-net in base 9	[i]
21	No (13, 87, 287)-net in base 9	[i]
22	No (13, 88, 287)-net in base 9	[i]
23	No (13, 89, 287)-net in base 9	[i]
24	No (13, 90, 287)-net in base 9	[i]
25	No (13, 91, 287)-net in base 9	[i]
26	No (13, 92, 287)-net in base 9	[i]
27	No (13, 93, 287)-net in base 9	[i]
28	No (13, 94, 287)-net in base 9	[i]
29	No (13, 95, 287)-net in base 9	[i]
30	No (13, 96, 287)-net in base 9	[i]
31	No (13, 97, 287)-net in base 9	[i]
32	No (13, 98, 287)-net in base 9	[i]
33	No (13, 99, 287)-net in base 9	[i]