Information on Result #1870430
There is no (8, 8+k, 74)-net in base 8 for arbitrarily large k, because logical equivalence would yield (8, m, 74)-net in base 8 for arbitrarily large m, but
- m-reduction [i] would yield (8, 144, 74)-net in base 8, but
- extracting embedded OOA [i] would yield OOA(8144, 74, S8, 2, 136), but
- the LP bound with quadratic polynomials shows that M ≥ 1 558240 368095 897951 083068 771488 413041 331277 636361 208915 245809 524305 417174 986761 600148 465616 230526 442890 733860 560308 807367 883476 697088 / 137 > 8144 [i]
- extracting embedded OOA [i] would yield OOA(8144, 74, S8, 2, 136), 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.