Information on Result #3145464
There is no digital (57, 157, 248)-net over F3, because 1 times m-reduction would yield digital (57, 156, 248)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3156, 248, F3, 99) (dual of [248, 92, 100]-code), but
- residual code [i] would yield OA(357, 148, S3, 33), but
- the linear programming bound shows that M ≥ 339310 353108 625838 622205 253005 107344 580119 357971 883548 907069 767680 / 208 213577 356617 676998 634448 123348 499991 > 357 [i]
- residual code [i] would yield OA(357, 148, S3, 33), 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.