Information on Result #599833
There is no digital (18, 121, 236)-net over F8, because extracting embedded orthogonal array would yield linear OA(8121, 236, F8, 103) (dual of [236, 115, 104]-code), but
- construction Y1 [i] would yield
- OA(8120, 138, S8, 103), but
- the linear programming bound shows that M ≥ 111645 453241 746255 920862 684222 479803 153865 164146 020446 912158 451311 961713 255226 562612 641032 127218 234498 669820 214273 467205 287936 / 44751 440946 265625 > 8120 [i]
- OA(8115, 236, S8, 98), but
- discarding factors would yield OA(8115, 147, S8, 98), but
- the linear programming bound shows that M ≥ 599345 416299 388973 235507 022177 177118 046850 911577 140306 689015 460811 889080 427692 784047 046445 821063 607212 795117 279723 192210 808892 966020 579328 / 7743 507384 508665 125912 260586 578125 > 8115 [i]
- discarding factors would yield OA(8115, 147, S8, 98), but
- OA(8120, 138, S8, 103), 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.