A semantically secure elliptic curve RSA scheme with small expansion factor

David Galindo; Sebastià Mart\'ın; Paz Morillo; Jorge L.  Villar

Paper 2002/083

A semantically secure elliptic curve RSA scheme with small expansion factor

David Galindo, Sebastià Mart\'ın, Paz Morillo, and Jorge L. Villar

Abstract

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 than 4). 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.

Metadata

Available format(s): PDF PS
Category: Public-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: elliptic curve cryptosystem semantic security expansion factor Demytko's scheme.
Contact author(s): dgalindo @ mat upc es
History: 2002-06-27: received
Short URL: https://ia.cr/2002/083
License: CC BY

BibTeX

@misc{cryptoeprint:2002/083,
      author = {David Galindo and Sebastià Mart\'ın and Paz Morillo and Jorge L.  Villar},
      title = {A semantically secure elliptic curve {RSA} scheme with small expansion factor},
      howpublished = {Cryptology {ePrint} Archive, Paper 2002/083},
      year = {2002},
      url = {https://eprint.iacr.org/2002/083}
}