Information on Result #599330
There is no digital (91, 250, 404)-net over F3, because extracting embedded orthogonal array would yield linear OA(3250, 404, F3, 159) (dual of [404, 154, 160]-code), but
- residual code [i] would yield linear OA(391, 244, F3, 53) (dual of [244, 153, 54]-code), but
- 1 times truncation [i] would yield linear OA(390, 243, F3, 52) (dual of [243, 153, 53]-code), but
- the Johnson bound shows that N ≤ 9 342763 491628 254791 739936 787780 423565 169992 498824 859636 256969 626845 605352 < 3153 [i]
- 1 times truncation [i] would yield linear OA(390, 243, F3, 52) (dual of [243, 153, 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.