A survey of lattice based expressive attribute based encryption

Attribute Based Encryption (ABE) can be employed to enforce fine grained access control over encrypted data. Due to expressiveness, ABE schemes are currently employed in cloud computing and storage systems. The classical ABE schemes based on bilinear pairing are vulnerable to quantum cryptanalysis, whereas ABE schemes from lattices can resist quantum attacks. In this work, we comprehensively survey various kinds of attribute based encryption schemes in the lattice setting in terms of expressiveness, complexity assumptions, efficiency, security and so on. We also discuss attribute based encryption schemes from lattices deserving further research to specify future directions for cryptographers.