[145165] in cryptography@c2.net mail archive
Re: Question regarding common modulus on elliptic curve cryptosystems
daemon@ATHENA.MIT.EDU (Sergio Lerner)
Mon Mar 22 11:47:39 2010
Date: Mon, 22 Mar 2010 10:23:38 -0300
From: Sergio Lerner <sergiolerner@pentatek.com>
To: cryptography@metzdowd.com
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@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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