Information on Result #3149908
There is no digital (68, 247, 379)-net over F4, because 3 times m-reduction would yield digital (68, 244, 379)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4244, 379, F4, 176) (dual of [379, 135, 177]-code), but
- residual code [i] would yield OA(468, 202, S4, 44), but
- the linear programming bound shows that M ≥ 2027 088631 021403 337954 762092 477564 421959 685162 636703 100335 360507 890568 637631 560712 794323 981191 765389 475840 / 21729 825107 879568 901112 749356 633788 098469 459498 248484 364910 480751 > 468 [i]
- residual code [i] would yield OA(468, 202, S4, 44), 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.