Information on Result #1849593
There is no (60, m, 70)-net in base 2 for arbitrarily large m, because m-reduction would yield (60, 411, 70)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2411, 70, S2, 6, 351), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 76682 492379 668837 478422 175731 801440 620094 943223 856621 437019 260251 831071 783412 116115 721948 411006 973042 320580 594902 709563 293696 / 11 > 2411 [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 (60, 69)-sequence in base 2 | [i] | Net from Sequence | |
| 2 | No (60, 60+k, 70)-net in base 2 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (60, m, 70)-net in base 2 with unbounded m | [i] | ||
| 4 | No digital (60, 60+k, 70)-net over F2 for arbitrarily large k | [i] | ||
| 5 | No digital (60, m, 70)-net over F2 with unbounded m | [i] | ||