Information on Result #3149825
There is no digital (65, 234, 365)-net over F4, because 1 times m-reduction would yield digital (65, 233, 365)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4233, 365, F4, 168) (dual of [365, 132, 169]-code), but
- residual code [i] would yield OA(465, 196, S4, 42), but
- the linear programming bound shows that M ≥ 396900 403316 059479 106808 484395 402977 413951 648726 549399 691598 760260 216224 172313 340280 832000 / 276 682488 299206 750393 648129 881706 051242 679804 397123 > 465 [i]
- residual code [i] would yield OA(465, 196, S4, 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.