Information on Result #599393
There is no digital (34, 115, 219)-net over F4, because extracting embedded orthogonal array would yield linear OA(4115, 219, F4, 81) (dual of [219, 104, 82]-code), but
- construction Y1 [i] would yield
- OA(4114, 146, S4, 81), but
- the linear programming bound shows that M ≥ 7 594596 073360 304072 815867 736592 315637 386549 140598 576996 791410 829396 630589 236390 143121 686528 / 15336 256272 900153 260065 > 4114 [i]
- OA(4104, 219, 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(4114, 146, S4, 81), 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.