Information on Result #1871076
There is no (6, 6+k, 107)-net in base 16 for arbitrarily large k, because logical equivalence would yield (6, m, 107)-net in base 16 for arbitrarily large m, but
- m-reduction [i] would yield (6, 96, 107)-net in base 16, but
- extracting embedded orthogonal array [i] would yield OA(1696, 107, S16, 90), but
- the linear programming bound shows that M ≥ 632381 165715 575607 270607 577961 002582 507033 932404 234102 073968 038308 365606 364351 282586 241545 781633 648349 739341 287044 099254 255616 / 15885 182313 > 1696 [i]
- extracting embedded orthogonal array [i] would yield OA(1696, 107, S16, 90), 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.