Using the Paley construction I, we obtain Hadamard matrices of size $4, 8, 12, 20, 24, 28, 32, 44, 48, 60, 68, 72, 80, 84, 88$. Using Paley Construction II we add $36=2(17+1)$, $52=2(25+1)$, $76=2(37+1)$. Using Sylvester's on the right sizes adds the sizes $16, 40, 56, 64$ which completes the list up to 88.
For 92, 91 is no prime power nor is $(92/2)-1=45$ so both Paley constructions give no result. And 46 is not a multiple of 4, so Sylvester also does not help. You cannot use Paley's on 23 without adding 1 dimension. For complex Hadamard matrices, the dimension can be a non-multiple of 4, but any integer.
If you're interested in (complex) Hadamard matrices or the Paley construction, take a look at my master thesis: Hadamard matrices over *-rings