Information on Result #3021210
There is no (42, 75, 146)-net in base 2, because 1 times m-reduction would yield (42, 74, 146)-net in base 2, but
- the generalized Rao bound for nets shows that 2m ≥ 19456 495213 635376 951977 > 274 [i]
- extracting embedded orthogonal array [i] would yield OA(274, 146, S2, 32), but
- the linear programming bound shows that M ≥ 280 270393 355737 497844 513648 098820 271740 172522 302191 747635 045255 952555 211698 995200 / 14596 329528 207009 222060 595527 173338 787771 222351 404958 268831 > 274 [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
None.