Title: Hashing into Hessian curves
Authors: Reza Rezaeian Farashahi
Addresses: Department of Mathematical Sciences, Isfahan University of Technology, P.O. Box 85145, Isfahan, Iran; School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5746, Tehran, Iran
Abstract: We propose an encoding function from the elements of the finite field Fq into points on a Hessian curve. Next, we present an injective encoding function from the set of all positive integers less than or equal to l into points on a Hessian curve over Fq with odd q and l = (q - 1)/2. We also present an injective encoding function from the bit strings of length k = 1 into points on a Hessian curve over the binary finite field F2k.
Keywords: elliptic curve cryptography; Hessian curves; hashing; injective encoding; security.
International Journal of Applied Cryptography, 2014 Vol.3 No.2, pp.139 - 147
Available online: 11 Jun 2014 *Full-text access for editors Access for subscribers Purchase this article Comment on this article