Information on Result #1873137
There is no digital (53, m, 61)-net over F2 with m > ∞, because logical equivalence would yield (53, 61)-sequence in base 2, but
- net from sequence [i] would yield (53, m, 62)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (53, 426, 62)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2426, 62, S2, 7, 373), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 33618 620041 214880 172388 271982 734889 904166 799538 931775 973942 064914 952283 357143 210679 359689 674012 692384 430868 432907 018308 426311 663616 / 187 > 2426 [i]
- extracting embedded OOA [i] would yield OOA(2426, 62, S2, 7, 373), but
- m-reduction [i] would yield (53, 426, 62)-net in base 2, but
Mode: Bound (linear).
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.