What cryptographic algorithms succumb to kleptographic attacks?

Kleptographic attacks have been devised for factoring-based key generation algorithms YY96b. These attacks leak the private key securely and subliminally through the public key itself. This can potentially affect any implementation of RSA, Rabin, Goldwasser-Micali, Paillier, and so on.

Kleptographic attacks have been devised for key exchanges YY97b. They have been devised for digital signature algorithms as well. These include ElGamal, Schnorr, DSA, Pointcheval-Stern, and others.

There is a general way to attack any cryptosystem that displays a modular exponentiation in its output when the exponent is chosen randomly YY97c,Yo02. Kleptographic attacks also work against elliptic curve cryptosystems. A more comprehensive listing of the work in this area is given in YY04.

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