Abstract: Systems and methods for end-to-end encryption and dynamic resizing and encoding into grouped byte channels are described herein. A query is homomorphically encrypted at a client using dynamic channel techniques. The encrypted query is sent without a private key to a server for evaluation over target data to generate encrypted response without decrypting the encrypted query. The result elements of the encrypted response are grouped, co-located, and dynamically resized and encoded into grouped byte channels using the dynamic channel techniques, without decrypting the encrypted query or the encrypted response. The encrypted response is sent to the client where the client uses the private key and channel extraction techniques associated with the dynamic channel techniques to decrypt and perform channel extraction on the encrypted response to obtain the results of the query without revealing the query or results to a target data owner, an observer, or an attacker.

Abstract: Systems and methods for efficient fixed-base multi-precision exponentiation are disclosed herein. An example method includes applying a multi-precision exponentiation algorithm to a base number, the multi-precision exponentiation algorithm comprises a pre-generated lookup table used to perform calculations on the base number, the pre-generated lookup table comprising pre-calculated exponentiated values of the base number.

Abstract: Provided are methods and systems for performing a secure analytic over a data source. An example method includes acquiring, by a client, an analytic, at least one analytic parameter associated with the analytic, and an encryption scheme. The encryption scheme can include a public key for encryption and a private key for decryption. The method further includes generating, using the encryption scheme, at least one analytical vector based on the analytic and analytic parameter, and sending the analytical vector and the encryption scheme to at least one server. The method includes extracting, by the at least one server based on the encryption scheme, a set of terms from a data set, and evaluating the analytical vector over the set of terms to obtain an encrypted result. The method further includes sending, by the server, the encrypted result and the error to the client where the encrypted result is decrypted.