Information on Result #3043437
There is no (31, 244, 75)-net in base 3, because 24 times m-reduction would yield (31, 220, 75)-net in base 3, but
- extracting embedded OOA [i] would yield OOA(3220, 75, S3, 3, 189), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 25005 745253 694267 115918 266546 661877 100947 851924 479155 683111 942268 320067 287614 161820 805837 058931 962084 566827 / 19 > 3220 [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.