Theoretical computer science · Oct 6, 2026

Subset Sum in O(20.49n)O(2^{0.49n}) time

Gives a uniform randomized classical algorithm for worst-case Subset Sum in ordinary O(20.49n)O(2^{0.49n}) word-RAM time on polynomial-bit inputs, where n counts the integers. The time bound holds on every execution and success probability is at least 2/3 on every input. Inputs may repeat positive integers; words have O(n+b)O(n+b) bits for maximum input bit length b.

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