Information on Result #1856241
There is no (5, m, 24)-net in base 4 for arbitrarily large m, because m-reduction would yield (5, 31, 24)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(431, 24, S4, 2, 26), but
- the linear programming bound for OOAs shows that M ≥ 5 737162 226617 068887 736320 / 1 225547 > 431 [i]
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 (5, 23)-sequence in base 4 | [i] | Net from Sequence | |
| 2 | No (5, 5+k, 24)-net in base 4 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (5, m, 24)-net in base 4 with unbounded m | [i] | ||
| 4 | No digital (5, 5+k, 24)-net over F4 for arbitrarily large k | [i] | ||
| 5 | No digital (5, m, 24)-net over F4 with unbounded m | [i] | ||