Information on Result #1863527
There is no (14, m, 21)-net in base 2 with m > ∞, because logical equivalence would yield (14, 21)-sequence in base 2, but
- net from sequence [i] would yield (14, m, 22)-net in base 2 for arbitrarily large m, but
- m-reduction [i] 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]
- extracting embedded OOA [i] would yield OOA(280, 22, S2, 4, 66), but
- m-reduction [i] would yield (14, 80, 22)-net in base 2, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.