Information on Result #1870448
There is no (17, 17+k, 137)-net in base 8 for arbitrarily large k, because logical equivalence would yield (17, m, 137)-net in base 8 for arbitrarily large m, but
- m-reduction [i] would yield (17, 121, 137)-net in base 8, but
- extracting embedded orthogonal array [i] would yield OA(8121, 137, S8, 104), but
- the linear programming bound shows that M ≥ 13066 856935 963523 721024 625401 270709 435452 350217 785478 549632 311553 515794 037630 134130 713931 717708 202057 690742 978515 268863 524864 / 568 730779 782165 > 8121 [i]
- extracting embedded orthogonal array [i] would yield OA(8121, 137, S8, 104), but
Mode: Bound.
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.