Information on Result #3145282
There is no digital (55, 159, 207)-net over F3, because 2 times m-reduction would yield digital (55, 157, 207)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3157, 207, F3, 102) (dual of [207, 50, 103]-code), but
- residual code [i] would yield OA(355, 104, S3, 34), but
- the linear programming bound shows that M ≥ 156886 010858 484807 854054 378468 889712 644211 339363 001341 126789 276510 956457 437793 701769 100721 300683 454940 318668 109559 161920 994946 197728 957769 811558 637515 615510 901840 516204 119571 / 885 396566 461856 638142 869755 626651 841542 071726 372464 475427 680706 478414 432865 627906 503409 309515 904907 562198 156244 985091 365409 869297 751679 479371 690668 > 355 [i]
- residual code [i] would yield OA(355, 104, S3, 34), 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.