A new efficient framework based on a Constant-size Ciphertext Policy Comparative Attribute-Based Encryption (CCP-CABE) approach. CCP-CABE assists lightweight mobile devices and storing privacy-sensitive sensitive data into cloudbased storage by offloading major cryptography-computation overhead into the cloud without exposing data content to the cloud. CCP-CABE extends existing attribute-based data access control solutions by incorporating comparable attributes to incorporate more flexible security access control policies. CCP-CABE generates constant-size ciphertext regardless of the number of involved attributes, which is suitable for mobile devices considering their limited communication and storage capacities.