Information on Result #3146893
There is no digital (88, 242, 393)-net over F3, because 1 times m-reduction would yield digital (88, 241, 393)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3241, 393, F3, 153) (dual of [393, 152, 154]-code), but
- residual code [i] would yield linear OA(388, 239, F3, 51) (dual of [239, 151, 52]-code), but
- 1 times truncation [i] would yield linear OA(387, 238, F3, 50) (dual of [238, 151, 51]-code), but
- the Johnson bound shows that N ≤ 1 109935 900942 577097 815120 032765 202024 203565 946556 215381 480293 664347 835582 < 3151 [i]
- 1 times truncation [i] would yield linear OA(387, 238, F3, 50) (dual of [238, 151, 51]-code), but
- residual code [i] would yield linear OA(388, 239, F3, 51) (dual of [239, 151, 52]-code), 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.