Fast Short and Fast Linear Cramer-Shoup - Archive ouverte HAL
Communication Dans Un Congrès Année : 2020

Fast Short and Fast Linear Cramer-Shoup

Résumé

A linear Cramer-Shoup encryption scheme version was proposed by Shacham in 2007. Short Cramer-Shoup encryption scheme was designed by Abdalla et al. in 2014. This scheme is a variant of the Cramer-Shoup encryption scheme that has a smaller size. They proved that it is an IND-PCA secure encryption under DDH and the collisionresistance assumptions. We design a faster version of Short Cramer-Shoup encryption scheme denoted Fast Short Cramer-Shoup encryption. We also, proposed a faster version of linear Cramer-Shoup encryption called Fast Linear Cramer-Shoup. We prove that the Fast Short Cramer-Shoup is IND-PCA secure under DDH and the collision-resistance assumptions. We also, show that our linear encryption is CCA secure under the Linear assumption. Finally we run an evaluation of performances of our schemes.
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Dates et versions

hal-03419449 , version 1 (08-11-2021)

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  • HAL Id : hal-03419449 , version 1

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Pascal Lafourcade, Léo Robert, Demba Sow. Fast Short and Fast Linear Cramer-Shoup. Foundations and Practice of Security - 13th International Symposium, FPS, Dec 2020, Montreal, France. ⟨hal-03419449⟩
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