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Paper   IPM / M / 15170
School of Mathematics
  Title:   Uniform encodings to elliptic curves over finite fields
  Author(s):  Reza Rezaeian Farashahi (Joint with M. Fadavi and A. Yazdani Kashani)
  Status:   In Proceedings
  Proceeding: Proceedings of the tenth international workshop on coding and cryptography (WCC2017)
  Year:  2017
  Supported by:  IPM
Many cryptographic protocols which are based on the elliptic curves, require to efficiently encode massages or bit strings into the points of a given elliptic curve in such a way that they can be decoded to the originated massage or bit string. In this paper we modify the simplified SWU-encoding to present a uniform encoding map from the elements of a finite field into the set of points of an elliptic curve of odd characteristic. In particular, an injective encoding map is given for elliptic curves with a point of order two.

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