  Proxy re-encryption (PRE) allows a semi-trusted proxy to convert a ciphertext
originally intended for Alice into an encryption of the same message intended
for Bob. Song Luo, Jianbin Hu, and Zhong Chen presented a novel ciphertext
policy attribute-based proxy re-encryption (CP-AB-PRE) scheme. The ciphertext
policy realized in their scheme is AND-gates policy supporting multi-value
attributes, negative attributes and wildcards. We propose a new access policies
based on LSSS matrix access structures. Our scheme still have the properties of
both PRE and CP-AB-PRE, such as unidirectionality, non-interactivity,
multi-use, allows the encryptor to decide whether the ciphertext can be
re-encrypted and allows the proxy to add access policy. Furthermore, our scheme
can be modified to outsource the policy of W2.
