Abstract: Bitcoins and the underlying blockchain technology are one of the main innovations in building decentralized applications. The effects of quantum computing on this technology are analyzed in general. Provided herein are effective solutions to address security vulnerabilities in a blockchain-based system that can be exploited by a quantum attacker.

Abstract: Bitcoins and the underlying blockchain technology are one of the main innovations in building decentralized applications. The effects of quantum computing on this technology are analyzed in general. Provided herein are effective solutions to address security vulnerabilities in a blockchain-based system that can be exploited by a quantum attacker.

Abstract: Bitcoins and the underlying blockchain technology are one of the main innovations in building decentralized applications. The effects of quantum computing on this technology are analyzed in general. Provided herein are effective solutions to address security vulnerabilities in a blockchain-based system that can be exploited by a quantum attacker.

Abstract: Bitcoins and the underlying blockchain technology are one of the main innovations in building decentralized applications. The effects of quantum computing on this technology are analyzed in general. Provided herein are effective solutions to address security vulnerabilities in a blockchain-based system that can be exploited by a quantum attacker.

Abstract: We present new designs to choose the parameter sets for more efficient HFEv-based signature schemes. The key method is to reduce the degree of the central HFEv-polynomial while, at the same time, increasing the number of Vinegar variables and Minus equations. The new design speeds up the signature generation process by two orders of magnitude (hundreds of times) compared to QUARTZ. We present also new methods to use multivariate signature schemes to build a white box encryption scheme. This technique is applicable to all existing multivariate signature designs including the HFEV-design and the improvements.

Abstract: Bitcoins and the underlying blockchain technology are one of the main innovations in building decentralized applications. The effects of quantum computing on this technology are analyzed in general. Provided herein are effective solutions to address security vulnerabilities in a blockchain-based system that can be exploited by a quantum attacker.

Abstract: Use the same basic idea of KE based on Ring LWE, this invention gives constructions of a new authenticated key exchanges system, where the authentication is achieved through a shared password between two parties. These new systems are efficient and have very strong security property including provable security and resistance to quantum computer attacks. This invention can also be modified using the LWE problem.

Abstract: Using a secure hardware or other form secure elements, where we securely implement the decryption and then encryption function to perform the re-encryption function, we build a hybrid fully homomorphic encryption system, where the bootstrap step is replaced the re-encryption function in the hardware module. This new hybrid system are very efficient because the re-encryption is much more efficient than the bootstrap function, which is the main bottleneck in terms of computations in FHE. In such a system, we make the system secure by making this hardware module secure using all or some of known techniques including temper proof, self-destruction and etc. This module can be controlled by either the server or the client or jointly.

Abstract: Use the same basic idea of KE based on Ring LWE, this invention gives constructions of a new authenticated key exchanges system, where the authentication is achieved through a shared password between two parties. These new systems are efficient and have very strong security property including provable security and resistance to quantum computer attacks. This invention can also be modified using the LWE problem.

Abstract: We present new designs to choose the parameter sets for more efficient HFEv-based signature schemes. The key method is to reduce the degree of the central HFEv-polynomial while, at the same time, increasing the number of Vinegar variables and Minus equations. The new design speeds up the signature generation process by two orders of magnitude (hundreds of times) compared to QUARTZ. We present also new methods to use multivariate signature schemes to build a white box encryption scheme. This technique is applicable to all existing multivariate signature designs including the HFEV-design and the improvements.

Abstract: Using a secure hardware or other form secure elements, where we securely implement the decryption and then encryption function to perform the re-encryption function, we build a hybrid fully homomorphic encryption system, where the boot-strap step is replaced the re-encryption function in the hardware module. This new hybrid system are very efficient because the re-encryption is much more efficient than the bootstrap function, which is the main bottleneck in terms of computations in FHE. In such a system, we make the system secure by making this hardware module secure using all or some of known techniques including temper proof, self-destruction and etc. This module can be controlled by either the server or the client or jointly.

Abstract: Using the same mathematical principle of paring with errors, which can be viewed as an extension of the idea of the LWE problem, this invention gives constructions of a new key exchanges system, a new key distribution system and a new identity-based encryption system. These new systems are efficient and have very strong security property including provable security and resistance to quantum computer attacks.

Abstract: Using the same mathematical principle of paring with errors, which can be viewed as an extension of the idea of the LWE problem, this invention gives constructions of a new key exchanges system, a new key distribution system and a new identity-based encryption system. These new systems are efficient and have very strong security property including provable security and resistance to quantum computer attacks.

Abstract: A group key management approach based on linear geometry is disclosed.

Abstract: A hierarchical group key management approach based on linear geometry is disclosed.

Abstract: A hierarchical group key management approach based on linear geometry is disclosed.

Abstract: A group key management approach based on linear geometry is disclosed.

Abstract: Using the same mathematical principle of paring with errors, which can be viewed as an extension of the idea of the LWE problem, this invention gives constructions of a new key exchanges system, a new key distribution system and a new identity-based encryption system. These new systems are efficient and have very strong security property including provable security and resistance to quantum computer attacks.

Abstract: Using the same mathematical principle of paring with errors, which can be viewed as an extension of the idea of the LWE problem, this invention gives constructions of a new key exchanges system, a new key distribution system and a new identity-based encryption system. These new systems are efficient and have very strong security property including provable security and resistance to quantum computer attacks.

Abstract: Using the same mathematical principle of paring with errors, which can be viewed as an extension of the idea of the LWE problem, this invention gives constructions of a new key exchanges system, a new key distribution system and a new identity-based encryption system. These new systems are efficient and have very strong security property including provable security and resistance to quantum computer attacks.