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最近,Ranjan利用m组混沌系统及线性变换组合方法提出一种混沌公钥密码.安全分析表明攻击该公钥密码难度为(NP)m,其中N,P分别为密钥空间大小及线性变换复杂度.由于向量任意的线性变换都能映射为向量2-范数简单的幅度变化,据此提出一种仅依赖公钥、初始向量及算法结构的私钥攻击算法.分析与实验结果均表明该多混沌公钥密码无法抵抗此类攻击,并且该分析方法可以有效攻击各种多混沌公钥密码算法.
Recently, Ranjan proposed a chaotic public-key cryptosystem using m sets of chaotic systems and linear transformation combinatorial methods. Security analysis shows that it is (NP) m to attack the public-key cryptosystem, where N and P are the complexity of the key space and the complexity of linear transformation Since arbitrary linear transformation of vectors can be mapped into simple amplitude changes of vector 2-norm, a private key attack algorithm based on public key, initial vector and algorithm structure is proposed.Analysis and experimental results show that Multi-chaos public-key cryptosystem can not resist such attacks, and the analysis method can effectively attack various multi-chaos public-key cryptosystems.