Quantitative Evaluation of Chaotic CBC Mode of Operation

TL;DR

This paper quantitatively analyzes the chaotic properties of CBC mode of operation, focusing on its sensitivity and expansivity, to better understand its security implications.

Contribution

It introduces a quantitative framework to evaluate the chaotic behavior of CBC mode, extending previous proofs of chaos to measurable security metrics.

Findings

CBC mode exhibits high sensitivity to initial conditions.

The mode demonstrates significant expansivity under certain conditions.

Quantitative measures provide insights into the security robustness of CBC.

Abstract

The cipher block chaining (CBC) block cipher mode of operation presents a very popular way of encrypting which is used in various applications. In previous research work, we have mathematically proven that, under some conditions, this mode of operation can admit a chaotic behavior according to Devaney. Proving that CBC mode is chaotic is only the beginning of the study of its security. The next step, which is the purpose of this paper, is to develop the quantitative study of the chaotic CBC mode of operation by evaluating the level of sensibility and expansivity for this mode.