Information on Result #520957
There is no (123, 253, 260)-net in base 2, because extracting embedded orthogonal array would yield OA(2253, 260, S2, 130), but
- adding a parity check bit [i] would yield OA(2254, 261, S2, 131), but
- the (dual) Plotkin bound shows that M ≥ 463168 356949 264781 694283 940034 751631 413079 938662 562256 157830 336031 652518 559744 / 11 > 2254 [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, 254, 260)-net in base 2 | [i] | m-Reduction | |
| 2 | No (123, 255, 260)-net in base 2 | [i] | ||
| 3 | No (123, 256, 260)-net in base 2 | [i] | ||
| 4 | No (123, 257, 260)-net in base 2 | [i] | ||
| 5 | No (123, 258, 260)-net in base 2 | [i] | ||
| 6 | No (123, 259, 260)-net in base 2 | [i] | ||
| 7 | No (123, 260, 260)-net in base 2 | [i] | ||