Information on Result #3146899
There is no digital (89, 246, 390)-net over F3, because 1 times m-reduction would yield digital (89, 245, 390)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3245, 390, F3, 156) (dual of [390, 145, 157]-code), but
- residual code [i] would yield linear OA(389, 233, F3, 52) (dual of [233, 144, 53]-code), but
- the Johnson bound shows that N ≤ 495 041572 388827 382337 917134 411719 483784 605757 670798 500294 630099 278193 < 3144 [i]
- residual code [i] would yield linear OA(389, 233, F3, 52) (dual of [233, 144, 53]-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.