Information on Result #3149419
There is no digital (56, 205, 308)-net over F4, because 1 times m-reduction would yield digital (56, 204, 308)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4204, 308, F4, 148) (dual of [308, 104, 149]-code), but
- residual code [i] would yield OA(456, 159, S4, 37), but
- the linear programming bound shows that M ≥ 552280 967540 130556 225380 165062 844509 113927 435157 299702 522905 668351 970980 659200 000000 / 99 260712 948022 423958 535222 844990 439800 493623 078423 > 456 [i]
- residual code [i] would yield OA(456, 159, 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.