Information on Result #1857426
There is no (12, 102)-sequence in base 8, because net from sequence would yield (12, m, 103)-net in base 8 for arbitrarily large m, but
- m-reduction [i] would yield (12, 90, 103)-net in base 8, but
- extracting embedded orthogonal array [i] would yield OA(890, 103, S8, 78), but
- the linear programming bound shows that M ≥ 1021 576153 078735 923643 496828 494105 918576 721926 818258 715769 540997 787100 910918 672673 951195 332608 / 431023 326525 > 890 [i]
- extracting embedded orthogonal array [i] would yield OA(890, 103, S8, 78), 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 (12, 102)-sequence in base 8 (for arbitrarily large k) | [i] | Logical Equivalence (for Sequences) | |
| 2 | No (12, m, 102)-net in base 8 with m > ∞ | [i] | ||
| 3 | No digital (12, 102)-sequence over F8 (for arbitrarily large k) | [i] | ||
| 4 | No digital (12, m, 102)-net over F8 with m > ∞ | [i] | ||