Information on Result #1879974
There is no digital (14, 14+k, 116)-net over F8 for arbitrarily large k, because logical equivalence 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
Mode: Bound (linear).
Optimality
Show details for fixed k and s, k and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.