Information on Result #599391
There is no digital (33, 112, 216)-net over F4, because extracting embedded orthogonal array would yield linear OA(4112, 216, F4, 79) (dual of [216, 104, 80]-code), but
- construction Y1 [i] would yield
- OA(4111, 143, S4, 79), but
- the linear programming bound shows that M ≥ 237 737030 554406 831140 331461 504711 505012 046426 036658 538250 578745 045288 416863 000860 792142 692352 / 26 111742 312416 213213 385625 > 4111 [i]
- OA(4104, 216, S4, 73), but
- discarding factors would yield OA(4104, 150, S4, 73), but
- the linear programming bound shows that M ≥ 32 028783 264027 932827 838658 827950 132017 443030 031565 779091 184319 519613 927802 631343 679332 066747 830675 439616 / 70932 376441 373736 310653 589982 582096 950125 > 4104 [i]
- discarding factors would yield OA(4104, 150, S4, 73), but
- OA(4111, 143, S4, 79), 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.