Information on Result #1868452
There is no (94, 94+k, 104)-net in base 2 for arbitrarily large k, because logical equivalence would yield (94, m, 104)-net in base 2 for arbitrarily large m, but
- m-reduction [i] would yield (94, 823, 104)-net in base 2, but
- extracting embedded OOA [i] would yield OOA(2823, 104, S2, 8, 729), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 22821 626560 034734 709771 218447 147136 922293 885902 823488 734398 655231 529129 129265 595501 978273 399329 000736 670270 858908 890401 934284 998415 792847 058167 130126 871774 385096 196714 170934 643993 857255 241061 212320 266256 559671 994082 382159 905369 011943 489033 475471 704064 / 365 > 2823 [i]
- extracting embedded OOA [i] would yield OOA(2823, 104, S2, 8, 729), 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.