Information on Result #520971
There is no (125, 257, 264)-net in base 2, because extracting embedded orthogonal array would yield OA(2257, 264, S2, 132), but
- adding a parity check bit [i] would yield OA(2258, 265, S2, 133), but
- the (dual) Plotkin bound shows that M ≥ 44 464162 267129 419042 651258 243336 156615 655674 111605 976591 151712 259038 641781 735424 / 67 > 2258 [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 (125, 258, 264)-net in base 2 | [i] | m-Reduction | |
| 2 | No (125, 259, 264)-net in base 2 | [i] | ||
| 3 | No (125, 260, 264)-net in base 2 | [i] | ||