Information on Result #520613
There is no (76, 126, 299)-net in base 2, because extracting embedded orthogonal array would yield OA(2126, 299, S2, 50), but
- adding a parity check bit [i] would yield OA(2127, 300, S2, 51), but
- the linear programming bound shows that M ≥ 68311 280696 217391 499347 177025 200921 455989 917394 449071 732453 854635 557386 567847 593067 186623 764917 500851 072163 823824 407390 333412 501125 857280 / 291 523462 914014 779723 859678 674439 955163 329953 558815 789355 418053 324666 468440 138090 214368 074041 918247 > 2127 [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 (76, 127, 299)-net in base 2 | [i] | m-Reduction | |