TY - GEN
T1 - Improving GGH cryptosystem using generalized low density lattices
AU - Kamel, Sarah
AU - Sarkiss, Mireille
AU - Othman, Ghaya Rekaya Ben
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2017/2/6
Y1 - 2017/2/6
N2 - A new Goldreich-Goldwasser-Halevi (GGH) cryptosystem is proposed using Generalized Low Density (GLD) lattices. These low density lattices can alleviate a major drawback of the GGH scheme, namely the huge size of its public key. Indeed, we show that the new GGH that we propose in this paper reduces the key size by one order of magnitude. In addition, we show that the key generation complexity as well as those of the encryption and decryption phases are significantly decreased. The security of this new GGH is highlighted through a security analysis that reviews all known attacks on GGH systems. This allows us to conclude that our scheme does not add any new vulnerability as compared with the existing GGH schemes.
AB - A new Goldreich-Goldwasser-Halevi (GGH) cryptosystem is proposed using Generalized Low Density (GLD) lattices. These low density lattices can alleviate a major drawback of the GGH scheme, namely the huge size of its public key. Indeed, we show that the new GGH that we propose in this paper reduces the key size by one order of magnitude. In addition, we show that the key generation complexity as well as those of the encryption and decryption phases are significantly decreased. The security of this new GGH is highlighted through a security analysis that reviews all known attacks on GGH systems. This allows us to conclude that our scheme does not add any new vulnerability as compared with the existing GGH schemes.
KW - GGH cryptosystem
KW - Generalized low-density lattices
KW - Lattice-based cryptography
KW - Public-key cryptography
U2 - 10.1109/ACOSIS.2016.7843914
DO - 10.1109/ACOSIS.2016.7843914
M3 - Conference contribution
AN - SCOPUS:85015179278
T3 - 2016 International Conference on Advanced Communication Systems and Information Security, ACOSIS 2016 - Proceedings
BT - 2016 International Conference on Advanced Communication Systems and Information Security, ACOSIS 2016 - Proceedings
A2 - Belkasmi, Mostafa
A2 - El Bouanani, Faissal
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2016 International Conference on Advanced Communication Systems and Information Security, ACOSIS 2016
Y2 - 17 October 2016 through 19 October 2016
ER -