In the previous post, we have seen how the number of questions needed to determine the number selected in the non-adaptive/”no feedback” situation is closely connected with the construction of “best possible” error-correcting codes. Let us look at some tables of specific values.
Odd :
Even :
Next, we tabulate some values of for different values of
(see R. Hill, J. Karim, E. Berlekamp, “The solution of a problem of Ulam on searching with lies,” IEEE, 1998):
What is remarkable, I think, is that even if you are allowed to modify your questions adaptively, depending on the answer given, it won’t help you very much.