Public-key cryptography and invariant theory

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

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 key cryptosystem based on the Eisenstein integers Z [ζ3] where ζ3 is a primitive...

Comparison of two Public Key Cryptosystems

Since the time public-key cryptography was introduced by Diffie andHellman in 1976, numerous public-key algorithms have been proposed. Some of thesealgorithms are insecure and the others that seem secure, many are impractical, eitherthey have too large keys or the cipher text they produce is much longer than theplaintext. This paper focuses on efficient implementation and analysis of two mostpo...

A note on invariant linear transformations in multivariate public key cryptography

An efficient certificateless signcryption scheme in the standard model

Certificateless public key cryptography (CL-PKC) is a useful method in order to solve the problems of traditional public key infrastructure (i.e., large amount of computation, storage and communication costs for managing certificates) and ID-based public key cryptography (i.e., key escrow problem), simultaneously. A signcryption scheme is an important primitive in cryptographic protocols which ...

Provably secure and efficient identity-based key agreement protocol for independent PKGs using ECC

Key agreement protocols are essential for secure communications in open and distributed environments. Recently, identity-based key agreement protocols have been increasingly researched because of the simplicity of public key management. The basic idea behind an identity-based cryptosystem is that a public key is the identity (an arbitrary string) of a user, and the corresponding private key is ...