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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...
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 ...
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...
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...
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 ...