Cryptanalysis of the Goldreich-Goldwasser-Halevi Cryptosystem from Crypto '97

@inproceedings{Nguyen1999CryptanalysisOT,
title={Cryptanalysis of the Goldreich-Goldwasser-Halevi Cryptosystem from Crypto '97},
author={Phong Q. Nguyen},
booktitle={CRYPTO},
year={1999}
}

Recent results of Ajtai on the hardness of lattice problems have inspired several cryptographic protocols. At Crypto ’97, Goldreich, Goldwasser and Halevi proposed a public-key cryptosystem based on the closest vector problem in a lattice, which is known to be NP-hard. We show that there is a major flaw in the design of the scheme which has two implications: any ciphertext leaks information on the plaintext, and the problem of decrypting ciphertexts can be reduced to a special closest vector… CONTINUE READING