Information on Result #3146843
There is no digital (83, 241, 275)-net over F3, because 2 times m-reduction would yield digital (83, 239, 275)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3239, 275, F3, 156) (dual of [275, 36, 157]-code), but
- residual code [i] would yield OA(383, 118, S3, 52), but
- the linear programming bound shows that M ≥ 1996 494123 652591 132382 208614 471528 262798 278296 164094 413549 / 441117 447444 334375 > 383 [i]
- residual code [i] would yield OA(383, 118, S3, 52), 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.