Information on Result #1869845
There is no (17, m, 83)-net in base 5 with unbounded m, because logical equivalence would yield (17, m, 83)-net in base 5 for arbitrarily large m, but
- m-reduction [i] would yield (17, 245, 83)-net in base 5, but
- extracting embedded OOA [i] would yield OOA(5245, 83, S5, 3, 228), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 645570 871830 419924 636880 574448 055468 740063 259242 340906 093291 881802 042574 469997 747437 486128 899560 489511 854031 317062 579653 202577 636473 581679 243949 338342 645205 557346 343994 140625 / 229 > 5245 [i]
- extracting embedded OOA [i] would yield OOA(5245, 83, S5, 3, 228), but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.