Purposes—To analyze the effect of modulus selection on security in BGG+14 attribute-based encryption scheme.Methods—By assuming the modulus to be composite and setting joint error vector,the ciphertext structure of the BGG+14 attribute-based encryption scheme is utilized to per-form modulo operations in accordance with the decomposition characteristics of the modulus.Results and Conclusions—The arithmetic results show that if the modulus is composite and has a small factori-zation,an adversary without decryption permission can successfully obtain the plaintext.Therefore,it is verified that the modulus must be prime,and some theoretical references for attribute-based en-cryption scheme based on lattices are provided.
关键词
属性基加密/密钥策略/格/带差错学习
Key words
attribute-based encryption/key policy/lattices/learning with errors
万方数据