Information on Result #599836
There is no digital (19, 128, 243)-net over F8, because extracting embedded orthogonal array would yield linear OA(8128, 243, F8, 109) (dual of [243, 115, 110]-code), but
- construction Y1 [i] would yield
- OA(8127, 145, S8, 109), but
- the linear programming bound shows that M ≥ 370787 816966 249062 852393 610324 731218 464642 981958 214207 589442 761157 047942 887269 300626 078793 969256 849590 703514 597288 403035 383113 187328 / 72122 148180 697725 > 8127 [i]
- OA(8115, 243, 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(8127, 145, S8, 109), 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.