Information on Result #3149171
There is no digital (52, 198, 264)-net over F4, because 2 times m-reduction would yield digital (52, 196, 264)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4196, 264, F4, 144) (dual of [264, 68, 145]-code), but
- residual code [i] would yield OA(452, 119, S4, 36), but
- the linear programming bound shows that M ≥ 357 859286 624924 007499 700605 808588 465393 308876 978703 840422 989308 837582 985335 138623 209171 597503 690371 497984 / 17 092119 397133 148679 798998 224288 670000 327306 475640 461791 263157 951334 577147 > 452 [i]
- residual code [i] would yield OA(452, 119, S4, 36), 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.