MinT - Information on Result #520900

Information on Result #520900

There is no (117, 241, 247)-net in base 2, because extracting embedded orthogonal array would yield OA(2²⁴¹, 247, S₂, 124), but

adding a parity check bit [i] would yield OA(2²⁴², 248, S₂, 125), but
- the (dual) Plotkin bound shows that MÂ â‰¥ 452 312848 583266 388373 324160 190187 140051 835877 600158 453279 131187 530910 662656 / 63 > 2²⁴² [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 (117, 242, 247)-net in base 2	[i]		m-Reduction
2	No (117, 243, 247)-net in base 2	[i]
3	No (117, 244, 247)-net in base 2	[i]
4	No (117, 245, 247)-net in base 2	[i]
5	No (117, 246, 247)-net in base 2	[i]
6	No (117, 247, 247)-net in base 2	[i]
7	No (117, 248, 247)-net in base 2	[i]
8	No (117, 249, 247)-net in base 2	[i]
9	No (117, 250, 247)-net in base 2	[i]
10	No (117, 251, 247)-net in base 2	[i]
11	No (117, 252, 247)-net in base 2	[i]
12	No (117, 253, 247)-net in base 2	[i]
13	No (117, 254, 247)-net in base 2	[i]
14	No (117, 255, 247)-net in base 2	[i]
15	No (117, 256, 247)-net in base 2	[i]
16	No (117, 257, 247)-net in base 2	[i]
17	No (117, 258, 247)-net in base 2	[i]
18	No (117, 259, 247)-net in base 2	[i]
19	No (117, 260, 247)-net in base 2	[i]