Information on Result #599744
There is no digital (29, 123, 218)-net over F5, because extracting embedded orthogonal array would yield linear OA(5123, 218, F5, 94) (dual of [218, 95, 95]-code), but
- construction Y1 [i] would yield
- OA(5122, 146, S5, 94), but
- the linear programming bound shows that M ≥ 211 795989 599382 257647 285884 795458 147343 177364 572503 310245 779281 108247 094067 564830 766059 458255 767822 265625 / 9 474927 760905 821721 > 5122 [i]
- OA(595, 218, S5, 72), but
- discarding factors would yield OA(595, 145, S5, 72), but
- the linear programming bound shows that M ≥ 681 594308 011084 642541 521008 533375 736738 792368 662881 901785 086204 561152 741164 839513 298410 490771 406244 903118 931688 368320 465087 890625 / 251 826768 360176 313961 784872 463983 728554 549094 621216 187309 311959 > 595 [i]
- discarding factors would yield OA(595, 145, S5, 72), but
- OA(5122, 146, S5, 94), 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.