Information on Result #520964
There is no (124, 256, 262)-net in base 2, because extracting embedded orthogonal array would yield OA(2256, 262, S2, 132), but
- adding a parity check bit [i] would yield OA(2257, 263, S2, 133), but
- the (dual) Plotkin bound shows that M ≥ 18 526734 277970 591267 771357 601390 065256 523197 546502 490246 313213 441266 100742 389760 / 67 > 2257 [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 (124, 257, 262)-net in base 2 | [i] | m-Reduction | |
| 2 | No (124, 258, 262)-net in base 2 | [i] | ||
| 3 | No (124, 259, 262)-net in base 2 | [i] | ||
| 4 | No (124, 260, 262)-net in base 2 | [i] | ||