Abstract

In Cryptography, a mode of operation is a technique to improve a block cipher effect. A challenge question of how to “qualitatively compare” among block cipher modes of operation, remains poorly studied. To overcome this lack we propose a methodology through some analogies to discrete dynamical systems (DDS). The method consists in the measure of chaos on the modes of operation by estimations of the Lyapunov exponent (LE). We opted to exploit the LE measures to compare among: ECB, CBC, OFB, CFB and CTR modes of operation. Results showed an effectively tool to qualitatively rank modes of operation. These novel findings represent an important advance to cryptography.KeywordsCipher blockModes of operationLyapunov exponent

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