Question regarding common modulus on elliptic curve cryptosystems

[Sergio Lerner]

As far as I understand, Elliptic Curve Pohlig-Hellman is not public-key. 
It's a private key cipher.

Regards,
  Sergio.


On 22/03/2010 09:56 a.m., Zacheusz Siedlecki wrote:
> Hi,
> Elliptic Curve Pohlig-Hellman is comutative. It's quite simple. I've
> implemented it.
>               Regards,
>                     Zacheusz Siedlecki
>
> On Sun, Mar 21, 2010 at 10:13 PM, Sergio Lerner
> <sergiolerner at pentatek.com>  wrote:
>    
>> I looking for a public-key cryptosystem that allows commutation of the
>> operations of encription/decryption for different users keys
>> ( Ek(Es(m)) =  Es(Ek(m)) ).
>> I haven't found a simple cryptosystem in Zp or Z/nZ.
>>
>> I think the solution may be something like the RSA analogs in elliptic
>> curves. Maybe a scheme that allows the use of a common modulus for all users
>> (RSA does not).
>> I've read on some factoring-based cryptosystem (like Meyer-Muller or
>> Koyama-Maurer-Okamoto-Vantone) but the cryptosystem authors say nothing
>> about the possibility of using a common modulus, neither for good nor for
>> bad.
>>
>> Anyone has a deeper knowledge on this crypto to help me?
>>
>> Best regards,
>>   Sergio Lerner.
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