Information on Result #3149477
There is no digital (57, 208, 326)-net over F4, because 3 times m-reduction would yield digital (57, 205, 326)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4205, 326, F4, 148) (dual of [326, 121, 149]-code), but
- residual code [i] would yield OA(457, 177, S4, 37), but
- the linear programming bound shows that M ≥ 7 916017 728459 289141 982805 636437 938856 538720 259539 351050 169416 698004 574623 120920 412160 / 363 505843 153703 749393 199977 171265 253621 464016 748729 > 457 [i]
- residual code [i] would yield OA(457, 177, S4, 37), 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.