Information on Result #3147823
There is no digital (38, 135, 244)-net over F4, because 1 times m-reduction would yield digital (38, 134, 244)-net over F4, but
- extracting embedded orthogonal array [i] would yield linear OA(4134, 244, F4, 96) (dual of [244, 110, 97]-code), but
- residual code [i] would yield OA(438, 147, S4, 24), but
- the linear programming bound shows that M ≥ 5459 111453 470077 053881 598601 691985 346560 000000 / 69230 222284 404391 824599 > 438 [i]
- residual code [i] would yield OA(438, 147, S4, 24), 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.