Information on Result #599397
There is no digital (35, 120, 206)-net over F4, because extracting embedded orthogonal array would yield linear OA(4120, 206, F4, 85) (dual of [206, 86, 86]-code), but
- construction Y1 [i] would yield
- OA(4119, 146, S4, 85), but
- the linear programming bound shows that M ≥ 1 306185 861782 156678 344154 323879 967306 788722 965824 745661 222897 819372 462131 226542 873931 415552 / 2 755682 499112 350745 > 4119 [i]
- OA(486, 206, 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(4119, 146, S4, 85), 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.