Information on Result #3049407
There is no (72, 231, 230)-net in base 3, because 6 times m-reduction would yield (72, 225, 230)-net in base 3, but
- extracting embedded orthogonal array [i] would yield OA(3225, 230, S3, 153), but
- the (dual) Plotkin bound shows that M ≥ 18 229188 289943 120727 504416 312516 508406 590984 052945 304492 988605 913605 329052 670723 967367 455215 961400 359649 216883 / 77 > 3225 [i]
Mode: Bound.
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.