The Cryptanalysis of a New Public-Key Cryptosystem Based on Modular Knapsacks
نویسندگان
چکیده
At the 1990 EuroCrypt Conference, Niemi proposed a new public-key cryptosystem based on modular knapsacks. Y.M. Chee in Singapore, A. Joux and J. Stern in Paris independently found that this cryptosystem is insecure. Our two cryptanalytic methods are slightly different, but they are both based on the LLL algorithm. This is one more example of a cryptosystem that can be broken using this powerful algorithm.
منابع مشابه
QTRU: quaternionic version of the NTRU public-key cryptosystems
In this paper we will construct a lattice-based public-key cryptosystem using non-commutative quaternion algebra, and since its lattice does not fully fit within Circular and Convolutional Modular Lattice (CCML), we prove it is arguably more secure than the existing lattice-based cryptosystems such as NTRU. As in NTRU, the proposed public-key cryptosystem relies for its inherent securi...
متن کاملEEH: 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...
متن کاملCryptanalysis of a Public Key Cryptosystem Based on the Matrix Combinatorial Problem
In this paper, we present a cryptanalysis of a public key cryptosystem based on the matrix combinatorial problem proposed by Wang and Hu (2010). Using lattice-based methods finding small integer solutions of modular linear equations, we recover the secret key of this cryptosystem for a certain range of parameters. In experiments, for the suggested parameters by Wang and Hu, the secret key can b...
متن کاملAn efficient secure channel coding scheme based on polar codes
In this paper, we propose a new framework for joint encryption encoding scheme based on polar codes, namely efficient and secure joint secret key encryption channel coding scheme. The issue of using new coding structure, i.e. polar codes in Rao-Nam (RN) like schemes is addressed. Cryptanalysis methods show that the proposed scheme has an acceptable level of security with a relatively smaller ke...
متن کاملAdapting Density Attacks to Low-Weight Knapsacks
Cryptosystems based on the knapsack problem were among the first public-key systems to be invented. Their high encryption/ decryption rate attracted considerable interest until it was noticed that the underlying knapsacks often had a low density, which made them vulnerable to lattice attacks, both in theory and practice. To prevent low-density attacks, several designers found a subtle way to in...
متن کامل