Ciphertext-policy attribute-based encryption scheme is suitable for access control of ciphertext data in cloud environment.Most of the existing attribute-based encryption schemes supporting arithmetic span programs are key-policy schemes with large public parameter scale.By exploiting the double Dual Pair Vector Space(DPVS) technique

a ciphertext-policy attribute-based encryption scheme which has a fixed length of public parameters and supports arithmetic span programs is proposed in this paper.In this scheme

the ciphertext-related access control vector is combined with the random matrix

and the key-related attribute components are combined with the public parameters in the entropy expansion Lemma.The method is designed according to the form of ciphertext and key components given in the entropy expansion Lemma.Finally

the adaptive security of the scheme is proved based on the prime order bilinear entropy extension Lemma and k-Lin difficult assumption.Compared with the existing attribute-based encryption schemes which support arithmetic span programs

the new scheme has the advantages of ciphertext access policy

fixed length of public parameters and adaptive security.