Elliptic curve cryptosystems have the smallest ciphertexts among the
ones commonly used. But if you want a 128-bit ciphertext, you'll only have 
about 2^64 security with an elliptic curve cryptosystem. Look in oids.h 
and search for "elliptic" for the name of some 128-bit curves.

On Wed, Mar 19, 2003 at 11:37:16AM +0100, Hans M?ller wrote:
> Hello
> 
>  
> 
> Does it exist a private / public key algorithm that can generate smaller messages 
> than 512 bits. 
> 
>  
> 
> I need this for a challenge / response algorithm. The challenge code will be the 
> encrypted with a 
> 
> private key (on a web server) and the encrypted challenge code will be the response 
> code. 
> 
>  
> 
> The user will enter the response code (in the software) and the software will 
> decrypt the response 
> 
> code with the public key.
> 
>  
> 
> The problem is that haven found any public / private algorithms that generate 
> smaller encrypted 
> 
> messages than 512 bits. And the user must be able to enter the response code in the 
> software 
> 
> and this demands that the generated message (response code) must be less that 128 
> bits.
> 
>  
> 
> Best regards
> 
> Hans M?ller

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