Abstract: Systems, methods and devices for validating and performing operations on homomorphically encrypted data are described herein. The methods include securely transmitting and extracting information from encrypted data without fully decrypting the data. A data request may include an encrypted portion including a set of confidential data. One or more sets of encrypted comparison data may be then retrieved from a database in response to the data request. The encrypted set of confidential data from the data request is then compared with each set of encrypted comparison data using one or more homomorphic operations to determine which set of encrypted comparison data matches the encrypted set of confidential data. If there is a match, this validates the set of confidential data. An encrypted indicator is then generated indicating success or failure in validating the set of confidential data, which may then be forwarded to a party associated with the data request.

Abstract: Systems, methods and devices for validating and performing operations on homomorphically encrypted data are described herein. The methods include securely transmitting and extracting information from encrypted data without fully decrypting the data. A data request may include an encrypted portion including a set of confidential data. One or more sets of encrypted comparison data may be then retrieved from a database in response to the data request. The encrypted set of confidential data from the data request is then compared with each set of encrypted comparison data using one or more homomorphic operations to determine which set of encrypted comparison data matches the encrypted set of confidential data. If there is a match, this validates the set of confidential data. An encrypted indicator is then generated indicating success or failure in validating the set of confidential data, which may then be forwarded to a party associated with the data request.

Abstract: Remote terminals are configured to generate ciphertexts from plaintext polynomials. Each ciphertext corresponds to a plaintext polynomial bound to a message space of a polynomial-based fully homomorphic cryptographic scheme. At least one server is configured to receive ciphertexts via a network from the plurality of remote terminals. The server performs a multiplication operation and an addition operation on the ciphertexts to obtain resultant ciphertexts. The multiplication operation includes performing a bitwise decomposition function on a ciphertext to obtain a bitwise decomposed ciphertext. The bitwise decomposition function maps a multi-bit data type to a sequence of bits. The multiplication operation further includes performing matrix multiplication on the bitwise decomposed ciphertext and a data element belonging to a set of data elements. Message filters, data search engines, and other applications are discussed.

Abstract: Remote terminals are configured to generate ciphertexts from plaintext polynomials. Each ciphertext corresponds to a plaintext polynomial bound to a message space of a polynomial-based fully homomorphic cryptographic scheme. At least one server is configured to receive ciphertexts via a network from the plurality of remote terminals. The server performs a multiplication operation and an addition operation on the ciphertexts to obtain resultant ciphertexts. The multiplication operation includes performing a bitwise decomposition function on a ciphertext to obtain a bitwise decomposed ciphertext. The bitwise decomposition function maps a multi-bit data type to a sequence of bits. The multiplication operation further includes performing matrix multiplication on the bitwise decomposed ciphertext and a data element belonging to a set of data elements. Message filters, data search engines, and other applications are discussed.