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- W3004719232 abstract "In this thesis, we present an effective construction of self-synchronizing stream ciphers based on the class of Linear Parameter-Varying (LPV) dynamical systems. For such systems, the state-space representation admits an affine expression regarding the input and the state but the state matrices depend on time varying parameters. This dependence can be expressed using nonlinear functions of the output variable. Hence, the resulting dynamics of the system are nonlinear. We show that the self-synchronization property is related to a structural property of the dynamical system known as flatness. Flatness is an algebraic property that allows, when possible, the expression of the input and state parameters of a dynamical system as functions of its outputs which is then called flat output. A characterization of the flatness is expressed in terms of state matrices of the dynamical matrix. A complementary characterization is given in terms of properties of the related adjacency graph. The combination of the algebraic and graph theory characterization gives a systematic construction of a new class of self-synchronizing stream ciphers. In the second part of the thesis, we tackle security aspects of self-synchronizing stream ciphers. We propose a spectral approach to performing side channel attacks. This approach offers reduced complexity when compared with standard approaches used for side channel attacks. We also give a security proof, based on the notion of indistinguishability, for the canonical form of self-synchronizing stream ciphers. A neccessary and sufficient condition is proposed in order to characterize the indistinguishability. Finally, we establish some results on vectorial boolean functions and properties they can be achieved when trying to design Self-Synchronizing Stream Ciphers" @default.
- W3004719232 created "2020-02-14" @default.
- W3004719232 creator A5039689180 @default.
- W3004719232 date "2017-07-06" @default.
- W3004719232 modified "2023-09-24" @default.
- W3004719232 title "Synchronization and dynamical systems : application to cryptography" @default.
- W3004719232 hasPublicationYear "2017" @default.
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