Information on Result #3066171
There is no (32, 257, 115)-net in base 4, because 31 times m-reduction would yield (32, 226, 115)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4226, 115, S4, 2, 194), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 186070 713419 675363 980626 894819 329160 794532 188335 953423 432061 490990 243657 757029 868371 504908 982723 472783 555205 531204 141550 984858 016925 351936 / 13 > 4226 [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.