MinT - Information on Result #520956

Information on Result #520956

There is no (123, 233, 263)-net in base 2, because extracting embedded orthogonal array would yield OA(2²³³, 263, S₂, 110), but

the linear programming bound shows that MÂ â‰¥ 208 361079 889821 744668 890387 660731 037374 858559 867656 192612 204735 454426 713127 124992 / 13955 210325 > 2²³³ [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 (123, 234, 263)-net in base 2	[i]		m-Reduction
2	No (123, 235, 263)-net in base 2	[i]
3	No (123, 236, 263)-net in base 2	[i]
4	No (123, 237, 263)-net in base 2	[i]
5	No (123, 238, 263)-net in base 2	[i]
6	No (123, 239, 263)-net in base 2	[i]
7	No (123, 240, 263)-net in base 2	[i]
8	No (123, 241, 263)-net in base 2	[i]
9	No (123, 242, 263)-net in base 2	[i]
10	No (123, 243, 263)-net in base 2	[i]
11	No (123, 244, 263)-net in base 2	[i]
12	No (123, 245, 263)-net in base 2	[i]
13	No (123, 246, 263)-net in base 2	[i]
14	No (123, 247, 263)-net in base 2	[i]
15	No (123, 248, 263)-net in base 2	[i]
16	No (123, 249, 263)-net in base 2	[i]
17	No (123, 250, 263)-net in base 2	[i]
18	No (123, 251, 263)-net in base 2	[i]
19	No (123, 252, 263)-net in base 2	[i]