Abstract: Techniques for an efficient and provably secure protocol by which two parties, each holding a share of a Cramer-Shoup private key, can jointly decrypt a ciphertext, but such that neither party can decrypt a ciphertext alone. In an illustrative embodiment, the secure protocol may use homomorphic encryptions of partial Cramer-Shoup decryption subcomputations, and three-move ?-protocols for proving consistency.

Abstract: Improved cryptographic techniques are provided by which a device that performs private key operations (e.g., signatures and/or decryptions), and whose private key operations are protected by a password, is immunized against offline dictionary attacks in case of capture by forcing the device to confirm a password guess with a designated entity or party in order to perform a private key operation, and by which the initiating device may dynamically delegate the password-checking function (i.e., confirmation of the password guess) from the originally designated entity or party to another designated entity or party.

Abstract: The invention provides for robust efficient distributed generation of RSA keys. An efficient protocol is one which is independent of the primality test “circuit size”, while a robust protocol allows correct completion even in the presence of a minority of arbitrarily misbehaving malicious parties. The disclosed protocol is secure against any minority of malicious parties (which is optimal). The disclosed method is useful in establishing sensitive distributed cryptographic function sharing services (certification authorities, signature schemes with distributed trust, and key escrow authorities), as well as other applications besides RSA (namely: composite ElGamal, identification schemes, simultaneous bit exchange, etc.). The disclosed method can be combined with proactive function sharing techniques to establish the first efficient, optimal-resilience, robust and proactively-secure RSA-based distributed trust services where the key is never entrusted to a single entity (i.e.

Abstract: Techniques are provided by which a device that performs private key operations (e.g., signatures or decryptions) in networked applications, and whose local private key is activated with, for example, a password or PIN, can be immunized to offline dictionary attacks in case the device is captured. The techniques do not assume tamper resistance of the device, but rather exploit the networked nature of the device, in that the device's private key operations are performed using a simple interaction with a remote server. This server, however, is untrusted, i.e., its compromise does not reduce the security of the device's private key unless the device is also captured, and need not have a prior relationship with the device. Techniques are also provided for supporting key disabling, by which the rightful owner of a stolen device can disable the device's private key even if the attacker already knows the user's password.

Abstract: A secure protocol is provided which uses a Diffie-Hellman type shared secret, but modified such that the two parties may authenticate each other using a shared password. In accordance with the invention, a party generates the Diffie-Hellman value gx and combines it with a function of at least the password using a group operation, wherein any portion of a result associated with the function that is outside the group is randomized. The resulting value is transmitted to the other party. The group operation is defined for the particular group being used. Every group has a group operation and a corresponding inverse group operation. Upon receipt of the value, the other party performs the inverse group operation on the received value and the function of at least the password, and removes the randomization of any portion of the result associated with the function that is outside the group, to extract gx such that the other party may then generate the shared secret gxy using its knowledge of y.

Abstract: A method for distributing a password amongst a plurality of servers for subsequent use in a provably secure multi-server threshold password authentication process. A client, having a password to be authenticated by a plurality of servers, generates an encryption of a function of the password. Then, this encryption is provided to each of the servers for use in subsequent password authentication. In accordance with one illustrative embodiment of the invention, the encryption is of an ElGamal ciphertext of the function g(?C)?1, where ?C is password and g is the generator used to generate the cryptographic keys used for communication between the client and the plurality of servers.

Abstract: A method for distributing a password amongst a plurality of servers for subsequent use in a provably secure multi-server threshold password authentication process. A client, having a password to be authenticated by a plurality of servers, generates an encryption of a function of the password. Then, this encryption is provided to each of the servers for use in subsequent password authentication. In accordance with one illustrative embodiment of the invention, the encryption is of an ElGamal ciphertext of the function g(&pgr;C)−1, where &pgr;C is password and g is the generator used to generate the cryptographic keys used for communication between the client and the plurality of servers.

Abstract: A provably secure multi-server threshold password-authenticated key exchange system and method. Initially, an encryption of a function of a client's password is provided to each of a plurality of servers. The client later can authenticate the password (i.e., login) by generating an encryption based on the password which is nonetheless mathematically independent of the value of the password. Then, this encryption, along with a “proof” that the encryption was, in fact, generated based on the password, is provided to each of the servers for verification. Thus, it can be shown that the protocol is provably secure. The password authentication protocol advantageously incorporates a thresholding scheme such that the compromise of fewer than a given threshold number of the servers neither compromises the security of the system nor inhibits the proper operation of the password authentication process.

Abstract: Techniques are provided for sharing the DSA signature function, so that two parties can efficiently generate a DSA signature with respect to a given public key but neither can alone. In an illustrative embodiment, the invention provides a DSA signature protocol that allows a proof of security for concurrent execution in the random oracle model. The invention also allows a proof of security for sequential execution without random oracles.

Abstract: Improved cryptographic techniques are provided by which a device that performs private key operations (e.g., signatures and/or decryptions), and whose private key operations are protected by a password, is immunized against offline dictionary attacks in case of capture by forcing the device to confirm a password guess with a designated entity or party in order to perform a private key operation, and by which the initiating device may dynamically delegate the password-checking function (i.e., confirmation of the password guess) from the originally designated entity or party to another designated entity or party.

Abstract: A secure protocol is provided which uses a Diffie-Hellman type shared secret, but modified such that the two parties may authenticate each other using a shared password. In accordance with the invention, a party generates the Diffie-Hellman value gx and combines it with a function of at least the password using a group operation, wherein any portion of a result associated with the function that is outside the group is randomized. The resulting value is transmitted to the other party. The group operation is defined for the particular group being used. Every group has a group operation and a corresponding inverse group operation. Upon receipt of the value, the other party performs the inverse group operation on the received value and the function of at least the password, and removes the randomization of any portion of the result associated with the function that is outside the group, to extract gx such that the other party may then generate the shared secret gxy using its knowledge of y.

Abstract: Techniques are provided by which a device that performs private key operations (e.g., signatures or decryptions) in networked applications, and whose local private key is activated with, for example, a password or PIN, can be immunized to offline dictionary attacks in case the device is captured. The techniques do not assume tamper resistance of the device, but rather exploit the networked nature of the device, in that the device's private key operations are performed using a simple interaction with a remote server. This server, however, is untrusted, i.e., its compromise does not reduce the security of the device's private key unless the device is also captured, and need not have a prior relationship with the device. Techniques are also provided for supporting key disabling, by which the rightful owner of a stolen device can disable the device's private key even if the attacker already knows the user's password.

Abstract: The invention provides for robust efficient distributed generation of RSA keys. An efficient protocol is one which is independent of the primality test “circuit size”, while a robust protocol allows correct completion even in the presence of a minority of arbitrarily misbehaving malicious parties. The disclosed protocol is secure against any minority of malicious parties (which is optimal). The disclosed method is useful in establishing sensitive distributed cryptographic function sharing services (certification authorities, signature schemes with distributed trust, and key escrow authorities), as well as other applications besides RSA (namely: composite ElGamal, identification schemes, simultaneous bit exchange, etc.). The disclosed method can be combined with proactive function sharing techniques to establish the first efficient, optimal-resilience, robust and proactively-secure RSA-based distributed trust services where the key is never entrusted to a single entity (i.e.

Abstract: The invention provides for robust efficient distributed generation of RSA keys. An efficient protocol is one which is independent of the primality test “circuit size”, while a robust protocol allows correct completion even in the presence of a minority of arbitrarily misbehaving malicious parties. The disclosed protocol is secure against any minority of malicious parties (which is optimal). The disclosed method is useful in establishing sensitive distributed cryptographic function sharing services (certification authorities, signature schemes with distributed trust, and key escrow authorities), as well as other applications besides RSA (namely: composite ElGamal, identification schemes, simultaneous bit exchange, etc.). The disclosed method can be combined with proactive function sharing techniques to establish the first efficient, optimal-resilience, robust and proactively-secure RSA-based distributed trust services where the key is never entrusted to a single entity (i.e.