Information on Result #599394
There is no digital (34, 116, 209)-net over F4, because extracting embedded orthogonal array would yield linear OA(4116, 209, F4, 82) (dual of [209, 93, 83]-code), but
- construction Y1 [i] would yield
- OA(4115, 144, S4, 82), but
- the linear programming bound shows that M ≥ 1 809384 318048 793962 648861 468486 632853 295185 954954 708490 452357 715816 889075 089941 955770 056704 / 950 296664 568803 286553 > 4115 [i]
- OA(493, 209, S4, 65), but
- discarding factors would yield OA(493, 148, S4, 65), but
- the linear programming bound shows that M ≥ 31410 303083 703049 377310 817051 099884 117194 259592 068916 365914 768905 433278 533937 431277 207276 796100 647129 523955 480347 541504 / 271 727597 647736 395513 057790 697511 115852 689190 837400 656430 005393 > 493 [i]
- discarding factors would yield OA(493, 148, S4, 65), but
- OA(4115, 144, S4, 82), 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.