• Corpus ID: 17822566

Linearly Homomorphic Encryption from DDH

@article{Castagnos2015LinearlyHE,
  title={Linearly Homomorphic Encryption from DDH},
  author={Guilhem Castagnos and Fabien Laguillaumie},
  journal={IACR Cryptol. ePrint Arch.},
  year={2015},
  volume={2015},
  pages={47}
}
. We design a linearly homomorphic encryption scheme whose security relies on the hardness of the decisional Diffie-Hellman problem. Our approach requires some special features of the underlying group. In particular, its order is unknown and it contains a subgroup in which the discrete logarithm problem is tractable. Therefore, our instantiation holds in the class group of a non maximal order of an imaginary quadratic field. Its algebraic structure makes it possible to obtain such a linearly… 

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