Abstract: Systems and methods to trustlessly provide resource consumption and/or pollution emission readings at cooperating industrial, commercial, or consumer locations, including mechanisms for trustless blockchain-based verification by third parties by employing a measure-perturb-measure sensor validation cycle, and to safe guard both the privacy and value of collected data during an adjustable pre-determined lifecycle.

Abstract: A method includes obtaining a plaintext query that includes a sequence of plaintext integers and generating a polynomial having coefficients that include the sequence of plaintext integers of the plaintext query. The method also includes encrypting the polynomial using a secret encryption key and transmitting the encrypted polynomial to a server. The secret encryption key is randomly sampled from a ciphertext space and the server is configured to expand the encrypted polynomial using a public encryption key to obtain a sequence of encrypted integers corresponding to the sequence of plaintext integers. The method also includes receiving an encrypted result from the server. The encrypted result is based on the sequence of encrypted integers.

Abstract: A method includes obtaining a plaintext query that includes a sequence of plaintext integers and generating a polynomial having coefficients that include the sequence of plaintext integers of the plaintext query. The method also includes encrypting the polynomial using a secret encryption key and transmitting the encrypted polynomial to a server. The secret encryption key is randomly sampled from a ciphertext space and the server is configured to expand the encrypted polynomial using a public encryption key to obtain a sequence of encrypted integers corresponding to the sequence of plaintext integers. The method also includes receiving an encrypted result from the server. The encrypted result is based on the sequence of encrypted integers.