Information on Result #599009
There is no digital (47, 129, 171)-net over F3, because extracting embedded orthogonal array would yield linear OA(3129, 171, F3, 82) (dual of [171, 42, 83]-code), but
- construction Y1 [i] would yield
- OA(3128, 149, S3, 82), but
- the linear programming bound shows that M ≥ 33 761969 841965 313899 084622 936677 465357 394104 583425 843880 075496 568722 581771 / 1 948280 920300 > 3128 [i]
- OA(342, 171, S3, 22), but
- discarding factors would yield OA(342, 168, S3, 22), but
- the Rao or (dual) Hamming bound shows that M ≥ 114 464714 711551 910433 > 342 [i]
- discarding factors would yield OA(342, 168, S3, 22), but
- OA(3128, 149, S3, 82), 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.