Information on Result #1877824
There is no digital (14, 14+k, 22)-net over F2 for arbitrarily large k, because logical equivalence 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
Mode: Bound (linear).
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.