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Raw RSA

daemon@ATHENA.MIT.EDU (Alexander Klimov)
Thu Sep 7 07:55:46 2006

X-Original-To: cryptography@metzdowd.com
X-Original-To: cryptography@metzdowd.com
Date: Wed, 6 Sep 2006 13:02:56 +0300 (IDT)
From: Alexander Klimov <alserkli@inbox.ru>
To: cryptography@metzdowd.com

Hi.

If an attacker is given access to a raw RSA decryption oracle (the
oracle calculates c^d mod n for any c) is it possible to extract the
key (d)?

It is known, that given such an oracle, the attacker can ask for
"decryption"  of all primes less than B, and then he will be able to
sign PKCS-1 encoded messages if the representative number is B-smooth,
but is there any way to actually recover d itself?

-- 
Regards,
ASK

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