Information on Result #520623
There is no (80, 134, 299)-net in base 2, because extracting embedded orthogonal array would yield OA(2134, 299, S2, 54), but
- adding a parity check bit [i] would yield OA(2135, 300, S2, 55), but
- the linear programming bound shows that M ≥ 48 453210 492851 688423 719096 496218 730424 623843 475355 389039 083584 741794 713780 743579 191978 463824 301856 084801 540325 376000 / 597 625262 017249 457875 009714 443330 928540 125079 140107 131223 189140 092691 487281 > 2135 [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 (80, 135, 299)-net in base 2 | [i] | m-Reduction | |