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FFA
2008
76views more  FFA 2008»
13 years 11 months ago
On the subset sum problem over finite fields
Abstract. The subset sum problem over finite fields is a well known NPcomplete problem. It arises naturally from decoding generalized Reed-Solomon codes. In this paper, we study th...
Jiyou Li, Daqing Wan
CORR
2008
Springer
127views Education» more  CORR 2008»
13 years 11 months ago
Branching proofs of infeasibility in low density subset sum problems
We prove that the subset sum problem ax = x {0, 1}n (SUB) has a polynomial time computable certificate of infeasibility for all a with density at most 1/(2n), and for almost all ...
Gábor Pataki, Mustafa Tural
STACS
2005
Springer
14 years 4 months ago
Solving Medium-Density Subset Sum Problems in Expected Polynomial Time
The subset sum problem (SSP) (given n numbers and a target bound B, find a subset of the numbers summing to B), is one of the classical NP-hard problems. The hardness of SSP vari...
Abraham Flaxman, Bartosz Przydatek
TCC
2010
Springer
170views Cryptology» more  TCC 2010»
14 years 8 months ago
Public-Key Cryptographic Primitives Provably as Secure as Subset Sum
Abstract. We propose a semantically-secure public-key encryption scheme whose security is polynomialtime equivalent to the hardness of solving random instances of the subset sum pr...
Vadim Lyubashevsky, Adriana Palacio, Gil Segev
DCC
2007
IEEE
14 years 11 months ago
Low-density attack revisited
The low-density attack proposed by Lagarias and Odlyzko is a powerful algorithm against the subset sum problem. The improvement algorithm due to Coster et al. would solve almost a...
Tetsuya Izu, Jun Kogure, Takeshi Koshiba, Takeshi ...