Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cryptanalyzing a class of image encryption schemes based on Chinese
  Remainder Theorem   As a fundamental theorem in number theory, the Chinese Reminder Theorem (CRT)
is widely used to construct cryptographic primitives. This paper investigates
the security of a class of image encryption schemes based on CRT, referred to
as CECRT. Making use of some properties of CRT, the equivalent secret key of
CECRT can be recovered efficiently. The required number of pairs 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 plaintext
length and $l$ is the number of bits representing a plaintext symbol. In
addition, other defects of CECRT such as invalid compression function and low
sensitivity to plaintext, are reported. The work in this paper will help
clarify positive role of CRT in cryptology.

4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph