MinT - Information on Result #520171

Information on Result #520171

There is no (20, 109, 29)-net in base 2, because extracting embedded OOA would yield OOA(2¹⁰⁹, 29, S₂, 4, 89), but

the (dual) Plotkin bound for OOAs shows that MÂ â‰¥ 49326 820156 080862 471039 715127 590912 / 45 > 2¹⁰⁹ [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 (20, 110, 29)-net in base 2	[i]		m-Reduction
2	No (20, 111, 29)-net in base 2	[i]
3	No (20, 112, 29)-net in base 2	[i]
4	No (20, 113, 29)-net in base 2	[i]
5	No (20, 114, 29)-net in base 2	[i]
6	No (20, 115, 29)-net in base 2	[i]
7	No (20, 116, 29)-net in base 2	[i]
8	No (20, 117, 29)-net in base 2	[i]
9	No (20, 118, 29)-net in base 2	[i]
10	No (20, 119, 29)-net in base 2	[i]
11	No (20, 120, 29)-net in base 2	[i]
12	No (20, 121, 29)-net in base 2	[i]
13	No (20, 122, 29)-net in base 2	[i]
14	No (20, 123, 29)-net in base 2	[i]
15	No (20, 124, 29)-net in base 2	[i]
16	No (20, 125, 29)-net in base 2	[i]
17	No (20, 126, 29)-net in base 2	[i]
18	No (20, 127, 29)-net in base 2	[i]
19	No (20, 128, 29)-net in base 2	[i]
20	No (20, 129, 29)-net in base 2	[i]
21	No (20, 130, 29)-net in base 2	[i]
22	No (20, 131, 29)-net in base 2	[i]
23	No (20, 132, 29)-net in base 2	[i]