Hash functions and digital signatures are very different things.
The size of the digital signature depends on the underlying hash function and key length. Theoretically, you can create an RSA implementation that generates 64-bit signatures, but it will be a very weak signature.
For shorter key lengths, you can see cryptography with an elliptic curve.
EDIT: , .
2: , -, elf64 RIPEMD-64, .
3: , 16- ECC 64- , . ECC , 128 , . RSA 1024 .