Modulus analysis of the BGG+14 attribute-based encryption scheme
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.
attribute-based encryptionkey policylatticeslearning with errors
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