Information on Result #599396
There is no digital (35, 119, 216)-net over F4, because extracting embedded orthogonal array would yield linear OA(4119, 216, F4, 84) (dual of [216, 97, 85]-code), but
- construction Y1 [i] would yield
- OA(4118, 148, S4, 84), but
- the linear programming bound shows that M ≥ 7301 270043 157677 378834 968797 352546 115167 116693 516048 447726 743341 396059 833062 672218 026684 710912 / 58934 105814 768105 796875 > 4118 [i]
- OA(497, 216, S4, 68), but
- discarding factors would yield OA(497, 147, S4, 68), but
- the linear programming bound shows that M ≥ 53191 285542 209075 945504 006887 276132 854449 205165 228826 719771 521828 218168 917559 533017 381886 236463 273092 752842 577445 650432 / 2 089901 251760 098724 970145 084401 522230 137171 459432 895605 490625 > 497 [i]
- discarding factors would yield OA(497, 147, S4, 68), but
- OA(4118, 148, S4, 84), 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.