Information on Result #1871674
There is no (3, 3+k, 103)-net in base 27 for arbitrarily large k, because logical equivalence would yield (3, m, 103)-net in base 27 for arbitrarily large m, but
- m-reduction [i] would yield (3, 97, 103)-net in base 27, but
- extracting embedded orthogonal array [i] would yield OA(2797, 103, S27, 94), but
- the linear programming bound shows that M ≥ 128 911025 055144 003712 512083 846133 074073 104655 021247 977332 109220 807942 928575 240457 586722 133506 291651 511625 988777 715999 325631 713723 671307 153546 411869 / 17 583797 > 2797 [i]
- extracting embedded orthogonal array [i] would yield OA(2797, 103, S27, 94), 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.