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A semantically secure elliptic curve RSA scheme with small expansion factor
Authors: David Galindo, Sebastià Mart\'ın, Paz Morillo, Jorge L. VillarAbstract:
We propose an elliptic curve scheme over the ring \entq, which is efficient and semantically secure in the standard model, and it has expansion
factor 2 (previous schemes with similar features present expansion factors greater or equal
Demytko’s RSA type scheme has been used as an underlying primitive
to obtain efficiency and probabilistic encryption. Semantic security of the scheme is based on a new decisional assumption, namely,
the Decisional Small Root Assumption. Confidence on this assumption is also discussed.
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