Information on Result #1875559
There is no digital (15, m, 135)-net over F9 with m > ∞, because logical equivalence would yield (15, 135)-sequence in base 9, but
- net from sequence [i] would yield (15, m, 136)-net in base 9 for arbitrarily large m, but
- m-reduction [i] would yield (15, 123, 136)-net in base 9, but
- extracting embedded orthogonal array [i] would yield OA(9123, 136, S9, 108), but
- the linear programming bound shows that M ≥ 43937 926141 213657 416061 906681 876494 817263 274556 001188 989748 982782 114241 968389 523142 886351 436942 916837 719711 850478 384204 731164 785821 / 15 367369 428125 > 9123 [i]
- extracting embedded orthogonal array [i] would yield OA(9123, 136, S9, 108), but
- m-reduction [i] would yield (15, 123, 136)-net in base 9, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.