某类一维连续混沌映射的弱密钥的研究

Study on weak key about some one-dimension continuous chaotic map

混沌信号具有良好的伪随机性,常被用来构造加密系统,但是人们往往忽略了混沌加密系统里面存在许多弱密钥会对加密系统的安全构成威胁.作者以一维帐篷映射为例,利用Sharkovskii定理证明了该映射具有无穷多的有限周期点,从而解释了混沌映射出现弱密钥的原因.

with pseudo-randomicity, chaotic signals are frequently adopted in designing cryptosystem. However, it has always been ignored that there are many weak keys in chaos encryption which will bring threat to the security of the system. Taking the one dimension tent map as an example, this paper proves that the map has numerous limited periodic points by using the Sharkovskii Theory, which shows why weak keys exist.