A New Ring-Based SPHF and PAKE Protocol On Ideal Lattices

Reza Ebrahimi Atani; Shahabaddin Ebrahimi Atani; Amir Hassani Karbasi

Volume 11, Issue 1 , January 2019, , Pages 75-86


  \emph{ Smooth Projective Hash Functions } ( SPHFs ) as a specific pattern of zero knowledge proof system are fundamental tools to build many efficient cryptographic schemes and protocols. As an application of SPHFs, \emph { Password - Based Authenticated Key Exchange } ( PAKE ) protocol is well-studied ...  Read More

NETRU: A Non-commutative and Secure Variant of CTRU Cryptosystem

Reza Ebrahimi Atani; Shahabaddin Ebrahimi Atani; A. Hassani Karbasi

Volume 10, Issue 1 , January 2018, , Pages 45-53


  In this paper we present a new finite field-based public key cryptosystem(NETRU) which is a non-commutative variant of CTRU. The original CTRU is defined by the ring of polynomials in one variable over a finite field F2. This system works in the ring R = F2[x]=hxN 􀀀 1i and is already broken ...  Read More

EEH: AGGH-like public key cryptosystem over the eisenstein integers using polynomial representations

R. Ebrahimi Atani; Sh. Ebrahimi Atani; A. Hassani Karbasi

Volume 7, Issue 2 , July 2015, , Pages 115-126


  GGH class of public-key cryptosystems relies on computational problems based on the closest vector problem (CVP) in lattices for their security. The subject of lattice based cryptography is very active and there have recently been new ideas that revolutionized the field. We present EEH, a GGH-Like public ...  Read More