Information on Result #1870440
There is no (13, 13+k, 110)-net in base 8 for arbitrarily large k, because logical equivalence would yield (13, m, 110)-net in base 8 for arbitrarily large m, but
- m-reduction [i] would yield (13, 97, 110)-net in base 8, but
- extracting embedded orthogonal array [i] would yield OA(897, 110, S8, 84), but
- the linear programming bound shows that M ≥ 87 442260 579156 872329 556537 484049 482232 625246 743955 766998 590856 788306 377700 670838 673713 994659 790848 / 17229 021875 > 897 [i]
- extracting embedded orthogonal array [i] would yield OA(897, 110, S8, 84), 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.