Information on Result #3146297
There is no digital (68, 196, 244)-net over F3, because 2 times m-reduction would yield digital (68, 194, 244)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3194, 244, F3, 126) (dual of [244, 50, 127]-code), but
- residual code [i] would yield OA(368, 117, S3, 42), but
- the linear programming bound shows that M ≥ 117688 677034 371150 621267 441012 191945 699509 786586 414202 785608 822882 266942 917131 914689 407902 641112 044580 185151 160708 720843 820397 646660 433506 256247 / 388 484897 528912 368351 403561 573056 452570 889875 851861 940521 311969 565349 433313 959589 947946 383067 599375 798269 567950 > 368 [i]
- residual code [i] would yield OA(368, 117, S3, 42), 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.