Information on Result #599010
There is no digital (47, 130, 169)-net over F3, because extracting embedded orthogonal array would yield linear OA(3130, 169, F3, 83) (dual of [169, 39, 84]-code), but
- construction Y1 [i] would yield
- OA(3129, 149, S3, 83), but
- the linear programming bound shows that M ≥ 84 319128 221217 735495 636798 406504 571731 768077 225953 505729 024301 422296 511468 / 1 784703 172945 > 3129 [i]
- OA(339, 169, S3, 20), but
- the Rao or (dual) Hamming bound shows that M ≥ 4 219632 770903 631459 > 339 [i]
- OA(3129, 149, S3, 83), 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.