Information on Result #3085288
There is no (22, 71, 251)-net in base 5, because 1 times m-reduction would yield (22, 70, 251)-net in base 5, but
- the generalized Rao bound for nets shows that 5m ≥ 8 628039 545622 714258 806096 268409 436481 298536 894625 > 570 [i]
- extracting embedded orthogonal array [i] would yield OA(570, 251, S5, 48), but
- the linear programming bound shows that M ≥ 200739 700872 207371 941822 857655 414079 267967 489809 085558 495421 373224 272654 223199 197076 610289 514064 788818 359375 / 22725 681524 131940 245591 201747 442624 808026 373117 483473 863576 > 570 [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.