Information on Result #1863627
There is no (64, m, 73)-net in base 2 with m > ∞, because logical equivalence would yield (64, 73)-sequence in base 2, but
- net from sequence [i] would yield (64, m, 74)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (64, 435, 74)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2435, 74, S2, 6, 371), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 3 194115 487627 178718 234333 140132 832426 358775 510832 940694 596392 476868 043746 592080 717742 050515 831968 793968 194675 027536 914746 978229 813248 / 31 > 2435 [i]
- extracting embedded OOA [i] would yield OOA(2435, 74, S2, 6, 371), but
- m-reduction [i] would yield (64, 435, 74)-net in base 2, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.