TY - GEN

T1 - Public-key cryptographic primitives provably as secure as subset sum

AU - Lyubashevsky, Vadim

AU - Palacio, Adriana

AU - Segev, Gil

PY - 2010

Y1 - 2010

N2 - We propose a semantically-secure public-key encryption scheme whose security is polynomial-time equivalent to the hardness of solving random instances of the subset sum problem. The subset sum assumption required for the security of our scheme is weaker than that of existing subset-sum based encryption schemes, namely the lattice-based schemes of Ajtai and Dwork (STOC'97), Regev (STOC'03, STOC'05), and Peikert (STOC'09). Additionally, our proof of security is simple and direct. We also present a natural variant of our scheme that is secure against key-leakage attacks, and an oblivious transfer protocol that is secure against semi-honest adversaries.

AB - We propose a semantically-secure public-key encryption scheme whose security is polynomial-time equivalent to the hardness of solving random instances of the subset sum problem. The subset sum assumption required for the security of our scheme is weaker than that of existing subset-sum based encryption schemes, namely the lattice-based schemes of Ajtai and Dwork (STOC'97), Regev (STOC'03, STOC'05), and Peikert (STOC'09). Additionally, our proof of security is simple and direct. We also present a natural variant of our scheme that is secure against key-leakage attacks, and an oblivious transfer protocol that is secure against semi-honest adversaries.

UR - http://www.scopus.com/inward/record.url?scp=77949610972&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-11799-2_23

DO - 10.1007/978-3-642-11799-2_23

M3 - Conference contribution

AN - SCOPUS:77949610972

SN - 3642117988

SN - 9783642117985

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 382

EP - 400

BT - Theory of Cryptography - 7th Theory of Cryptography Conference, TCC 2010, Proceedings

T2 - 7th Theory of Cryptography Conference, TCC 2010

Y2 - 9 February 2010 through 11 February 2010

ER -