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Conception et étude d'une architecture numérique de haute performance pour le calcul de la fonction exponentielle modulaire

Abstract : Currently the cryptography processes rest mainly on protocols which use the concept of one-way function. This type of mathematical jamming is frequently carried out by the modular exponentiation function. In this work, the design of an alternative architecture which satisfies the most significant characteristics in order to guarantee the viability of an integrated circuit for calculating the modular exponentiation function is presented. In the architecture, the main advantages of both, generalised square-multiply binary for exponentiation function and the Montgomery's algorithm for modular multiplication are mixed. The architecture is oriented to compute the modular exponentiation of large integer numbers presenting a good performance and a modularity being easily expandable to larger bit-widths. In addition, as several of cryptography applications use satellite communication where high performances but principally radiation tolerant integrated circuits are needed, AsGa become as a suitable technology for the implementation of this type of system. The design of two of the principal blocks of the proposed architecture considering low power strategies consumption are also presented.
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https://tel.archives-ouvertes.fr/tel-00002951
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Submitted on : Wednesday, June 4, 2003 - 5:27:47 PM
Last modification on : Thursday, November 19, 2020 - 3:56:18 PM
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  • HAL Id : tel-00002951, version 1

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A. Bernal. Conception et étude d'une architecture numérique de haute performance pour le calcul de la fonction exponentielle modulaire. Autre [cs.OH]. Institut National Polytechnique de Grenoble - INPG, 1999. Français. ⟨tel-00002951⟩

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