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arXiv · 1412.5149

Polynomial-time Method of Determining Subset Sum Solutions

Aubrey Alston
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Abstract

Reducing the conditions under which a given set satisfies the stipulations of the subset sum proposition to a set of linear relationships, the question of whether a set satisfies subset sum may be answered in a polynomial number of steps by forming, solving, and constraining a series of linear systems whose dimensions and number are both polynomial with respect to the length of the set. Given its demonstrated 100% accuracy rate and its demonstrable justification, this algorithm may provide basis to reconsider the validity of SSP-based and NP-hard-reliant cryptosystems.

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Aubrey Alston. 2017-05-13. Polynomial-time Method of Determining Subset Sum Solutions. https://arxiv.org/abs/1412.5149

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