Design of DAA protocol based on dual discrete logarithm

Abstract

DAA scheme in the TCG specification is based on CL signature,which is also combined by group signature and zero knowledge proof techniques to prove the direct anonymous attestation,and its security is based on the decomposition of large numbers.With the increasement of computer performance and the development of cryptography,the problem based on integer factorization problem is likely to be attacked,the corresponding DAA scheme has become no longer safety.But the algorithm based on the elliptic curve discrete logarithm and the prime on the discrete logarithm (double discrete logarithm) can use a shorter key,achieve higher security.Based on double discrete logarithm algorithm,this article designed a new DAA scheme.Demonstrated by analyzing solution,this new DAA scheme could not only meet the requirements of direct anonymous attestation,but also could make the implementation efficiency of the scheme consistent with the original one,while improved its security greatly.