Information on Result #1849665
There is no (84, m, 94)-net in base 2 for arbitrarily large m, because m-reduction would yield (84, 649, 94)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2649, 94, S2, 7, 565), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 756854 149176 110720 429946 675326 409927 303887 890610 449109 763921 088409 274958 937913 074292 692864 443816 106766 479415 450544 429039 955527 848819 528658 654137 481006 078667 260746 892540 275632 039347 834003 404607 193088 / 283 > 2649 [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 (84, 93)-sequence in base 2 | [i] | Net from Sequence | |
| 2 | No (84, 84+k, 94)-net in base 2 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (84, m, 94)-net in base 2 with unbounded m | [i] | ||
| 4 | No digital (84, 84+k, 94)-net over F2 for arbitrarily large k | [i] | ||
| 5 | No digital (84, m, 94)-net over F2 with unbounded m | [i] | ||