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The elliptic curve cryptography plays a central role in various cryptographic schemes and protocols. For efficiency reasons, Edwards curves and twisted Edwards curves have been introduced. In this pap...
The purpose of this paper is to describe and analyze the Cayley-Purser algorithm, which is a public-key cryptosystem proposed by Flannery in 1999. I will present two attacks on it, one of which is app...
In this work, we propose a new public-key cryptosystem whose security is based on the computational intractability of the following problem: Given a Mersenne number p = 2^n - 1, where n is a prime, a ...
The Learning with Errors (LWE) problem has been widely used as a hardness assumption to construct public-key primitives. In this paper, we propose an efficient instantiation of a PKE scheme based on L...
In this paper, we give an attack against a public key cryptosystem based on Diophantine equations of degree increasing type (DEC) proposed by the third author ([Oku15]). We show that the security of...
A new Public-Key-Cryptosystem is presented from which we think that it will survive against possible attacks by Quantum-Computers in the future. We analyse its performance and its expected security.
Extensive studies have been made of the public key cryptosystems based on multivariate polynomials (Multi-variate PKC, MPKC) over F2 and F2m. However most of the proposed MPKC are proved not secure....
This paper presents a new fast public key cryptosystem namely : a key exchange algorithm, a public key encryption algorithm and a digital signature algorithm, based on the diculty to invert the follo...
In this work, we define a new notion of weakly Random-Self-Reducibile cryptosystems and show how it can be used to implement secure Oblivious Transfer. We also show that two recent (Post-quantum) cr...
In this paper we present a new NTRU-Like public key cryptosystem with security provably based on the worst case hardness of the approximate both Shortest Vector Problem (SVP) and Closest Vector Proble...
In this paper, we first present a new class of code based public key cryptosystem(PKC) based on ReedSolomon code over extension field of less than m=9, referred to as K(XVI)SE(1)PKC. We then present ...
In this paper, we design a novel one-way trapdoor function, and then propose a new multivariate public key cryptosystem called $\rm TOT$, which can be used for encryption, signature and authentication...
The author recently proposed a new class of knapsack type PKC referred to as K(II)$\Sigma\Pi$PKC [1]. In K(II)$\Sigma\Pi$PKC with old algorithm DA[I], Bob randomly constructs a very small subset of Al...
In this paper, a new class of Public-Key Cryptosystem(PKC) based on Random Simultaneous Equation of degree g(RSE(g)PKC) is presented. The proposed scheme uses a new class of trap-doors based on two cl...
In this paper, a new class of Public-Key Cryptosystem(PKC) based on Random Simultaneous Equation of degree g(RSE(g)PKC) is presented. The proposed scheme uses a new class of trap-doors based on two cl...

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