Information on Result #3149720
There is no digital (62, 224, 352)-net over F4, because 2 times m-reduction would yield digital (62, 222, 352)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4222, 352, F4, 160) (dual of [352, 130, 161]-code), but
- residual code [i] would yield OA(462, 191, S4, 40), but
- the linear programming bound shows that M ≥ 6 721352 642212 013290 164202 930663 188729 706683 395933 433874 909615 380474 388774 465686 228242 006016 / 300843 081103 152389 559805 379819 997539 174337 778277 134589 > 462 [i]
- residual code [i] would yield OA(462, 191, S4, 40), 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.