Information on Result #1865677
There is no (14, m, 115)-net in base 8 with m > ∞, because logical equivalence would yield (14, 115)-sequence in base 8, but
- net from sequence [i] would yield (14, m, 116)-net in base 8 for arbitrarily large m, but
- m-reduction [i] would yield (14, 105, 116)-net in base 8, but
- extracting embedded orthogonal array [i] would yield OA(8105, 116, S8, 91), but
- the linear programming bound shows that M ≥ 67 590695 303585 232363 449610 385167 125134 814310 899640 912361 983716 500606 168825 384014 701443 407135 513537 150976 / 996 991281 > 8105 [i]
- extracting embedded orthogonal array [i] would yield OA(8105, 116, S8, 91), but
- m-reduction [i] would yield (14, 105, 116)-net in base 8, but
Mode: Bound.
Optimality
Show details for fixed t and s.
Other Results with Identical Parameters
None.
Depending Results
None.