Information on Result #3069397
There is no (52, 228, 223)-net in base 4, because 9 times m-reduction would yield (52, 219, 223)-net in base 4, but
- extracting embedded orthogonal array [i] would yield OA(4219, 223, S4, 167), but
- the (dual) Plotkin bound shows that M ≥ 5 678427 533559 428832 416592 249125 035424 637823 130369 672345 949142 181098 744438 385921 275985 867583 701277 855943 457200 048954 515105 739075 223552 / 7 > 4219 [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.