Information on Result #1849686
There is no (91, m, 101)-net in base 2 for arbitrarily large m, because m-reduction would yield (91, 698, 101)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2698, 101, S2, 7, 607), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 25 478783 273124 934175 698544 745200 623223 759458 419924 748381 944798 124239 171372 376485 232113 072285 094569 060630 698755 397113 242047 437874 961827 799962 025352 795345 047866 970614 657028 403522 490871 327252 188161 782826 688095 191040 / 19 > 2698 [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 (91, 100)-sequence in base 2 | [i] | Net from Sequence | |
| 2 | No (91, 91+k, 101)-net in base 2 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (91, m, 101)-net in base 2 with unbounded m | [i] | ||
| 4 | No digital (91, 91+k, 101)-net over F2 for arbitrarily large k | [i] | ||
| 5 | No digital (91, m, 101)-net over F2 with unbounded m | [i] | ||