An $O\big((5/3)^n\mathrm{poly}(n)\big)$ One-Sided Monte Carlo Algorithm for Equal Subset Sum

Lixi Ye

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arXiv · 2608.08260

An $O\big((5/3)^n\mathrm{poly}(n)\big)$ One-Sided Monte Carlo Algorithm for Equal Subset Sum

Lixi Ye

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Abstract

We give a randomised algorithm for Equal Subset Sum that, on $n$ arbitrary integers of at most $m\le2^n$ bits, runs in time $O\big((5/3)^n\mathrm{poly}(n)+n^2m\big)$, never outputs a non-solution, and outputs a solution with probability $1-2^{-Ω(n)}$ whenever one exists.

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BibTeX RIS

Lixi Ye. 2026-09-04. An $O\big((5/3)^n\mathrm{poly}(n)\big)$ One-Sided Monte Carlo Algorithm for Equal Subset Sum. https://arxiv.org/abs/2608.08260

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