Information on Result #3146867
There is no digital (85, 240, 366)-net over F3, because 2 times m-reduction would yield digital (85, 238, 366)-net over F3, but
- extracting embedded orthogonal array [i] would yield linear OA(3238, 366, F3, 153) (dual of [366, 128, 154]-code), but
- residual code [i] would yield linear OA(385, 212, F3, 51) (dual of [212, 127, 52]-code), but
- 1 times truncation [i] would yield linear OA(384, 211, F3, 50) (dual of [211, 127, 51]-code), but
- the Johnson bound shows that N ≤ 3 465392 580935 096296 712977 980638 603324 843243 174078 085715 358657 < 3127 [i]
- 1 times truncation [i] would yield linear OA(384, 211, F3, 50) (dual of [211, 127, 51]-code), but
- residual code [i] would yield linear OA(385, 212, F3, 51) (dual of [212, 127, 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.