Information on Result #3145556
There is no digital (58, 161, 241)-net over F3, because 1 times m-reduction would yield digital (58, 160, 241)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3160, 241, F3, 102) (dual of [241, 81, 103]-code), but
- residual code [i] would yield OA(358, 138, S3, 34), but
- the linear programming bound shows that M ≥ 127476 152647 109858 836964 999510 941941 258810 174509 185909 510810 236158 485486 586777 642310 167217 093997 490577 412163 979598 552712 810081 135105 109375 / 26 664339 762561 735625 225371 208573 781952 042183 497535 838408 714653 075655 100686 712415 616991 631039 991283 863425 318551 > 358 [i]
- residual code [i] would yield OA(358, 138, S3, 34), 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.