Information on Result #599400
There is no digital (36, 124, 210)-net over F4, because extracting embedded orthogonal array would yield linear OA(4124, 210, F4, 88) (dual of [210, 86, 89]-code), but
- construction Y1 [i] would yield
- OA(4123, 150, S4, 88), but
- the linear programming bound shows that M ≥ 22915 666113 439092 609099 444232 414491 754857 959622 104295 992957 494311 648680 329878 580928 609806 974976 / 136 168406 561048 662801 > 4123 [i]
- OA(486, 210, S4, 60), but
- discarding factors would yield OA(486, 145, S4, 60), but
- the linear programming bound shows that M ≥ 70 960269 863126 606518 991667 215730 563206 075021 389069 425781 018295 735734 868068 159984 954116 355960 140231 669388 460318 751919 101866 886859 928826 023614 873600 / 11532 795767 709720 554647 969916 716816 544438 820799 421172 775769 384715 477815 805045 795696 528849 736837 > 486 [i]
- discarding factors would yield OA(486, 145, S4, 60), but
- OA(4123, 150, S4, 88), 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.