Breaking an image compression and encryption scheme based on Chinese Remainder Theorem.
Chengqing Li, Yuansheng Liu, Leo Yu Zhang, Kwok‐Wo Wong · arXiv (Cornell University) · 2013
As a fundamental of number theory, Chinese Reminder Theorem (CRT) is widely used to construct cryptographic primitive. This paper studies security of a compression and encryption scheme based on CRT, called CECRT. Based on some properties of CRT, the equivalent secret key of CECRT can be reconstructed efficiently: the pair number of required of chosen plaintext and the corresponding ciphertext is only $(1+\lceil (\log_2L)/l \rceil)$; the attack complexity is only $O(L)$, where $L$ is the size of the plaintext, and $l$ is binary size of every plain-element. In addition, some other defects of CECRT, including invalid compression function, are also reported.