Information on Result #3146750
There is no digital (79, 222, 338)-net over F3, because 2 times m-reduction would yield digital (79, 220, 338)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3220, 338, F3, 141) (dual of [338, 118, 142]-code), but
- residual code [i] would yield OA(379, 196, S3, 47), but
- 5 times truncation [i] would yield OA(374, 191, S3, 42), but
- the linear programming bound shows that M ≥ 7425 373872 326041 246958 413277 162396 664697 868093 270451 580073 051722 485491 109207 030427 537458 984375 / 32911 891840 780579 755648 777011 603243 208306 897748 202179 983781 > 374 [i]
- 5 times truncation [i] would yield OA(374, 191, S3, 42), but
- residual code [i] would yield OA(379, 196, S3, 47), 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.