Hashing into Hessian curves. (1st January 2014)

• Record Type: Journal Article
• Authors: Farashahi, Reza Rezaeian
• Is Part Of: International journal of applied cryptography. Volume 3:Number 2(2014)
• Page Start: 139
• Page End: 147
• Publication Date: 2014-01-01
• Subjects: elliptic curve cryptography -- Hessian curve -- hashing -- applied cryptography; Data encryption (Computer science) -- Periodicals; Cryptography -- Periodicals; Computer security -- Periodicals; 652.8
• Languages: English
• ISSNs: 1753-0563

Abstract

We propose an encoding function from the elements of the finite field F q 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 F 2 k .