Arithmétique des couplages, performance et résistance aux attaques par canaux cachés.

Nadia El Mrabet 1
1 ARITH - Arithmétique informatique
LIRMM - Laboratoire d'Informatique de Robotique et de Microélectronique de Montpellier
Abstract : The subject of my thesis is the study of pairings, and particularly pairing based cryptography. My first works deal with arithmetic of pairings. First I compare the efficiency of the Weil and Tate pairings. Then I use an original representation of elements in a finite field to optimise the multiplications in an extension of this finite field. I proposed an arithmetic specifically for elliptic curves of embedding degree 15, in order to improve the arithmetic for these curves. Working on the arithmetic allowed me to have a clear picture of the arithmetic underlying pairing based cryptography. I was able to work on the weakness of pairing based cryptography with respect to side channel attacks.
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Nadia El Mrabet. Arithmétique des couplages, performance et résistance aux attaques par canaux cachés.. Informatique [cs]. Université Montpellier II - Sciences et Techniques du Languedoc, 2009. Français. ⟨tel-00450099⟩

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