Information on Result #3145080
There is no digital (53, 153, 198)-net over F3, because 1 times m-reduction would yield digital (53, 152, 198)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3152, 198, F3, 99) (dual of [198, 46, 100]-code), but
- residual code [i] would yield OA(353, 98, S3, 33), but
- the linear programming bound shows that M ≥ 70405 986787 631825 456516 749181 938054 391496 023445 621407 247393 974860 100167 193867 925850 156399 787754 027088 012405 632448 512652 067196 819333 / 3435 057828 133240 896934 525314 441640 529877 282946 429987 863449 445479 386348 848486 854894 335014 985183 953870 063104 > 353 [i]
- residual code [i] would yield OA(353, 98, 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.