Information on Result #3146845
There is no digital (83, 244, 268)-net over F3, because 2 times m-reduction would yield digital (83, 242, 268)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3242, 268, F3, 159) (dual of [268, 26, 160]-code), but
- residual code [i] would yield OA(383, 108, S3, 53), but
- the linear programming bound shows that M ≥ 351 790187 636131 637637 070482 425686 777069 567336 538130 612039 / 72418 367747 573783 > 383 [i]
- residual code [i] would yield OA(383, 108, S3, 53), 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.