Information on Result #1857603
There is no (15, 135)-sequence in base 9, because net from sequence 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
Mode: Bound.
Optimality
Show details for fixed m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No (15, 135)-sequence in base 9 (for arbitrarily large k) | [i] | Logical Equivalence (for Sequences) | |
| 2 | No (15, m, 135)-net in base 9 with m > ∞ | [i] | ||
| 3 | No digital (15, 135)-sequence over F9 (for arbitrarily large k) | [i] | ||
| 4 | No digital (15, m, 135)-net over F9 with m > ∞ | [i] | ||