Information on Result #1856184
There is no (14, m, 22)-net in base 2 for arbitrarily large m, because m-reduction would yield (14, 80, 22)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(280, 22, S2, 4, 66), but
- the LP bound with quadratic polynomials shows that M ≥ 83 718113 008313 070348 402688 / 67 > 280 [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 (14, 21)-sequence in base 2 | [i] | Net from Sequence | |
| 2 | No (14, 14+k, 22)-net in base 2 for arbitrarily large k | [i] | Logical Equivalence (for Nets with Unbounded m) | |
| 3 | No (14, m, 22)-net in base 2 with unbounded m | [i] | ||
| 4 | No digital (14, 14+k, 22)-net over F2 for arbitrarily large k | [i] | ||
| 5 | No digital (14, m, 22)-net over F2 with unbounded m | [i] | ||