Selected publications at LSV

KM10
Steve Kremer and Laurent MazaréComputationally Sound Analysis of Protocols using Bilinear PairingsJournal of Computer Security 18(6), pages 999-1033, 2010. ( PDF )
doi: 10.3233/JCS-2009-0388
Abstract:
In this paper, we introduce a symbolic model to analyse protocols that use a bilinear pairing between two cyclic groups. This model consists in an extension of the Abadi-Rogaway logic and we prove that the logic is still computationally sound: symbolic indistinguishability implies computational indistinguishability provided that the Bilinear Decisional Diffie-Hellman assumption holds and that the encryption scheme is IND-CPA secure. We illustrate our results on classical protocols using bilinear pairing like Joux tripartite Diffie-Hellman protocol or the TAK-2 and TAK-3 protocols. We also investigate the security of a newly designed variant of the Burmester-Desmedt protocol using bilinear pairings. More precisely, we show for each of these protocols that the generated key is indistinguishable from a random element.

@article{KM-jcs09,
   author = {Kremer, Steve and Mazar{\'e}, Laurent},
   DOI = {10.3233/JCS-2009-0388},
   journal = {Journal of Computer Security},
   month = nov,
   number = {6},
   pages = {999-1033},
   publisher = {{IOS} Press},
   title = {Computationally Sound Analysis of Protocols using Bilinear Pairings},
   url = {http://www.lsv.ens-cachan.fr/Publis/PAPERS/PDF/ KM-jcs09.pdf},
   volume = {18},
   year = {2010},
}

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