Proving chaotic behaviour of CBC mode of operation
This work addresses the theoretical understanding of encryption security for cryptographers and security researchers, but it appears incremental as it applies existing chaos theory to a known encryption mode.
The paper tackled the problem of proving that the CBC mode of operation can exhibit chaotic behavior under certain conditions, and it mathematically demonstrated this according to Devaney's definition, with specific cases studied to illustrate the idea.
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.