Information on Result #3149102
There is no digital (51, 194, 265)-net over F4, because 3 times m-reduction would yield digital (51, 191, 265)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4191, 265, F4, 140) (dual of [265, 74, 141]-code), but
- residual code [i] would yield OA(451, 124, S4, 35), but
- the linear programming bound shows that M ≥ 691 446239 734930 013936 659131 075507 527072 529250 608218 542950 198517 596797 334894 673920 / 123 717113 118431 928293 789080 421222 899797 731711 329751 > 451 [i]
- residual code [i] would yield OA(451, 124, S4, 35), 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.