Information on Result #3146840
There is no digital (83, 237, 288)-net over F3, because 1 times m-reduction would yield digital (83, 236, 288)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3236, 288, F3, 153) (dual of [288, 52, 154]-code), but
- residual code [i] would yield OA(383, 134, S3, 51), but
- the linear programming bound shows that M ≥ 625760 414962 993510 058854 039475 945995 304619 276439 915262 016003 058873 437945 073915 147163 250093 / 135 349071 693745 981183 738057 225151 833299 159482 850560 > 383 [i]
- residual code [i] would yield OA(383, 134, S3, 51), but
Mode: Bound (linear).
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.