Arithmetic coding as a non-linear dynamical system

A secure and efficient entropy coding based on arithmetic coding

“…Arithmetic coding is a nonlinear map [23], the entropy of output of arithmetic coding stream is optimized [22,26]. AC consists of two main parts, i.e., the statistical modeling and the AC compression engine.…”

Encrypting the compressed image by chaotic map and arithmetic coding

“…In Ref. [28], the authors generalized the Generalized Luroth Series (GLS) to piecewise non-linear maps (Skewed-nGLS), and motivated the use of Skewed-nGLS as a framework for joint source coding and encryption.…”

“…Inspired by arithmetic coding, some researchers proposed many algorithms of data compression based on chaotic maps [5,6,8,11,27,28]. Arithmetic coding, in its essence, assigns to each possible character a range, the width of which reflects the frequency of occurrence of the symbol [7,29,30].…”

Simultaneous Arithmetic Coding and Encryption Using Chaotic Maps

“…Unfortunately, the modified version is also vulnerable to chosen-plaintext attack [14]. The relationship between arithmetic coding and chaotic maps was studied in [15] and [16]. In [15], arithmetic coding is found equivalent to finding the best initial condition for iterating a chaotic map to generate a symbolic sequence corresponding to the source message.…”