MinT - Information on Result #520504

Information on Result #520504

There is no (54, 203, 70)-net in base 2, because extracting embedded OOA would yield OOA(2²⁰³, 70, S₂, 3, 149), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 205 688069 665150 755269 371147 819668 813122 841983 204197 482918 576128 / 15 > 2²⁰³ [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		Method
1	No (54, 204, 70)-net in base 2	[i]	m-Reduction
2	No (54, 205, 70)-net in base 2	[i]
3	No (54, 206, 70)-net in base 2	[i]
4	No (54, 207, 70)-net in base 2	[i]
5	No (54, 208, 70)-net in base 2	[i]
6	No (54, 209, 70)-net in base 2	[i]
7	No (54, 210, 70)-net in base 2	[i]
8	No (54, 211, 70)-net in base 2	[i]
9	No (54, 212, 70)-net in base 2	[i]
10	No (54, 213, 70)-net in base 2	[i]
11	No (54, 214, 70)-net in base 2	[i]
12	No (54, 215, 70)-net in base 2	[i]
13	No (54, 216, 70)-net in base 2	[i]
14	No (54, 217, 70)-net in base 2	[i]
15	No (54, 218, 70)-net in base 2	[i]
16	No (54, 219, 70)-net in base 2	[i]
17	No (54, 220, 70)-net in base 2	[i]
18	No (54, 221, 70)-net in base 2	[i]
19	No (54, 222, 70)-net in base 2	[i]
20	No (54, 223, 70)-net in base 2	[i]
21	No (54, 224, 70)-net in base 2	[i]
22	No (54, 225, 70)-net in base 2	[i]
23	No (54, 226, 70)-net in base 2	[i]
24	No (54, 227, 70)-net in base 2	[i]
25	No (54, 228, 70)-net in base 2	[i]
26	No (54, 229, 70)-net in base 2	[i]
27	No (54, 230, 70)-net in base 2	[i]
28	No (54, 231, 70)-net in base 2	[i]
29	No (54, 232, 70)-net in base 2	[i]
30	No (54, 233, 70)-net in base 2	[i]
31	No (54, 234, 70)-net in base 2	[i]
32	No (54, 235, 70)-net in base 2	[i]
33	No (54, 236, 70)-net in base 2	[i]
34	No (54, 237, 70)-net in base 2	[i]
35	No (54, 238, 70)-net in base 2	[i]
36	No (54, 239, 70)-net in base 2	[i]
37	No (54, 240, 70)-net in base 2	[i]
38	No (54, 241, 70)-net in base 2	[i]
39	No (54, 242, 70)-net in base 2	[i]
40	No (54, 243, 70)-net in base 2	[i]
41	No (54, 244, 70)-net in base 2	[i]
42	No (54, 245, 70)-net in base 2	[i]
43	No (54, 246, 70)-net in base 2	[i]
44	No (54, 247, 70)-net in base 2	[i]
45	No (54, 248, 70)-net in base 2	[i]
46	No (54, 249, 70)-net in base 2	[i]
47	No (54, 250, 70)-net in base 2	[i]
48	No (54, 251, 70)-net in base 2	[i]
49	No (54, 252, 70)-net in base 2	[i]
50	No (54, 253, 70)-net in base 2	[i]
51	No (54, 254, 70)-net in base 2	[i]
52	No (54, 255, 70)-net in base 2	[i]