Information on Result #1868394
There is no (65, 65+k, 75)-net in base 2 for arbitrarily large k, because logical equivalence would yield (65, m, 75)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (65, 441, 75)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2441, 75, S2, 6, 376), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 2407 653274 229197 824944 635113 629015 020046 437007 276741 074682 436284 785867 641875 630621 018007 855489 341810 920025 852820 756714 404833 367894 786048 / 377 > 2441 [i]
- extracting embedded OOA [i] would yield OOA(2441, 75, S2, 6, 376), but
Mode: Bound.
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.