Pairing-Friendly Curves with Discrete Logarithm Trapdoor Could be Useful

Authors

Parshuram Budhathoki, Salt Lake Community College, Salt Lake City, UT 84123, USAFollow
Thomas Eisenbarth, Worcester Polytechnic Institute, Worcester, MA 01609-2280, USAFollow
Rainer Steinwandt, Florida Atlantic University, Boca Raton, FL 33431, USAFollow
Adriana Suarez Corona, Universidad de Le´on, 24004 Le´on, SpainFollow

Author Country (or Countries)

USA

Abstract

Pairing-friendly curves and elliptic curves with a trapdoor for the discrete logarithm problem are versatile tools in the design of cryptographic protocols. We show that curves having both properties simultaneously enable a non-interactive protocol for identitybased 3-party key distribution and deterministic identity-based signing with “short” signatures. All our protocols are in the random oracle model.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/amis/100603

Recommended Citation

Budhathoki, Parshuram; Eisenbarth, Thomas; Steinwandt, Rainer; and Suarez Corona, Adriana (2016) "Pairing-Friendly Curves with Discrete Logarithm Trapdoor Could be Useful," Applied Mathematics & Information Sciences: Vol. 10: Iss. 6, Article 3.
DOI: http://dx.doi.org/10.18576/amis/100603
Available at: https://digitalcommons.aaru.edu.jo/amis/vol10/iss6/3