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International Association for Cryptologic Research (IACR)
Abstract
We present functional encryption schemes for attribute-weighted sums, where encryption takes as input N attribute-value pairs (xiβ,ziβ) where xiβ is public and ziβ is private; secret keys are associated with arithmetic branching programs f, and decryption returns the weighted sum βi=1Nβf(xiβ)ziβ while leaking no additional information about the ziβ\u27s. Our main construction achieves
(1) compact public parameters and key sizes that are independent of N and the secret key can decrypt a ciphertext for any a-prior unbounded N;
(2) short ciphertexts that grow with N and the size of ziβ but not xiβ;
(3) simulation-based security against unbounded collusions;
(4) relies on the standard k-linear assumption in prime-order bilinear groups
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