Information on Result #1849668
There is no (85, m, 95)-net in base 2 for arbitrarily large m, because m-reduction would yield (85, 656, 95)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2656, 95, S2, 7, 571), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 48 139661 438954 597921 667719 398539 061055 180622 375617 701401 280511 697340 550474 668248 873530 291822 401735 580998 789486 434628 375479 640487 371829 773449 211312 372139 719675 646518 399598 766126 749630 133154 821435 293696 / 143 > 2656 [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 (85, 94)-sequence in base 2 | [i] | Net from Sequence | |
| 2 | No (85, 85+k, 95)-net in base 2 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (85, m, 95)-net in base 2 with unbounded m | [i] | ||
| 4 | No digital (85, 85+k, 95)-net over F2 for arbitrarily large k | [i] | ||
| 5 | No digital (85, m, 95)-net over F2 with unbounded m | [i] | ||