Information on Result #520453
There is no (49, 103, 109)-net in base 2, because extracting embedded orthogonal array would yield OA(2103, 109, S2, 54), but
- adding a parity check bit [i] would yield OA(2104, 110, S2, 55), but
- the (dual) Plotkin bound shows that M ≥ 162 259276 829213 363391 578010 288128 / 7 > 2104 [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 (49, 104, 109)-net in base 2 | [i] | m-Reduction | |
| 2 | No (49, 105, 109)-net in base 2 | [i] | ||
| 3 | No (49, 106, 109)-net in base 2 | [i] | ||
| 4 | No (49, 107, 109)-net in base 2 | [i] | ||
| 5 | No (49, 108, 109)-net in base 2 | [i] | ||
| 6 | No (49, 109, 109)-net in base 2 | [i] | ||
| 7 | No (49, 110, 109)-net in base 2 | [i] | ||