Comments on ’Arithmetic Coding as a Non-Linear Dynamical System’

AuthorsAmit Pande, Joseph Zambreno, and Prasant Mohapatra
TypeJournal Article
JournalCommunications in Nonlinear Science and Numerical Simulation (CNSNS)
Volume17
Issue12
Pages4536-4543
Date2012

Abstract

Nagaraj et al. [1, 2] present a skewed-non-linear Generalized Luroth Series (s-nGLS) framework. S-nGLS uses non-linear maps for GLS to introduce a security parameter a which is used to build a keyspace for image or data encryption. The map introduces non-linearity to the system to add an "encryption key parameter". The skew is added to achieve optimal compression efficiency. s-nGLS used as such for joint encryption and compression is a weak candidate, as explained in this communication. First, we show how the framework is vulnerable to known plaintext based attacks and that a key of size 256 bits can be broken within 1000 trials. Next, we demonstrate that the proposed non-linearity exponentially increases the hardware complexity of design. We also discover that s-nGlS can’t be implemented as such for large bitstreams. Finally, we demonstrate how correlation of key parameter with compression performance leads to further key vulnerabilities.

BibTeX

@article{PanZam12B,
  title = {Comments on {\textquoteright}Arithmetic Coding as a Non-Linear Dynamical System{\textquoteright}},
  journal = {Communications in Nonlinear Science and Numerical Simulation (CNSNS)},
  volume = {17},
  number = {12},
  year = {2012},
  pages = {4536-4543},
  author = {Pande, Amit and Zambreno, Joseph and Mohapatra, Prasant}
}

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