Information on Result #3065436
There is no (28, 257, 102)-net in base 4, because 57 times m-reduction would yield (28, 200, 102)-net in base 4, but
- extracting embedded OOA [i] would yield OOA(4200, 102, S4, 2, 172), but
- the (dual) Plotkin bound for OOAs shows that M ≥ 578 423972 691467 524082 925894 528674 659849 854097 593746 066874 067695 865105 067331 772427 597040 559134 750874 241642 310521 895438 516224 / 173 > 4200 [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.