The cipher block chaining (CBC) block cipher mode of operation was invented by IBM (International Business Machine) in 1976. It presents a very popular way of encrypting which is used in various applications. In this paper, we have mathematically proven that, under some conditions, the CBC mode of operation can admit a chaotic behaviour according to Devaney. Some cases will be properly studied in order to put in evidence this idea.
@article{arxiv.1608.05838,
title = {Proving chaotic behaviour of CBC mode of operation},
author = {Abdessalem Abidi and Qianxue Wang and Belgacem Bouallegue and Mohsen Machhout and Christophe Guyeux},
journal= {arXiv preprint arXiv:1608.05838},
year = {2016}
}
Comments
International Journal of Bifurcation and Chaos, accepted paper. arXiv admin note: substantial text overlap with arXiv:1601.08139, arXiv:1605.02950