Information on Result #3145727
There is no digital (60, 167, 254)-net over F3, because 2 times m-reduction would yield digital (60, 165, 254)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3165, 254, F3, 105) (dual of [254, 89, 106]-code), but
- residual code [i] would yield OA(360, 148, S3, 35), but
- the linear programming bound shows that M ≥ 32736 674181 247111 523198 040277 032547 478736 312432 761773 182980 156745 054076 913794 735387 713391 860471 994046 617776 080101 939907 837612 473720 955089 815789 352300 892160 / 691974 074846 423845 929231 601971 384016 174717 370524 100041 408052 710499 582060 732735 640083 715550 709077 494269 293566 444659 318525 072647 > 360 [i]
- residual code [i] would yield OA(360, 148, S3, 35), but
Mode: Bound (linear).
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.