Information on Result #1857427
There is no (13, 109)-sequence in base 8, because net from sequence 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 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 (13, 109)-sequence in base 8 (for arbitrarily large k) | [i] | Logical Equivalence (for Sequences) | |
| 2 | No (13, m, 109)-net in base 8 with m > ∞ | [i] | ||
| 3 | No digital (13, 109)-sequence over F8 (for arbitrarily large k) | [i] | ||
| 4 | No digital (13, m, 109)-net over F8 with m > ∞ | [i] | ||