Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 138-01. Subset Sum in Time O(2 (0.49n))
Manuscript map · lines 5065–5074
OpenAI@2026-10-07#rem:oai-p-138-01
Authors: OpenAI. Family 138.
Title: Subset Sum in Time $O(2{}{0.49n})$.
Abstract: We give a uniform randomized classical algorithm for Subset Sum with bounded error and worst-case running time $O(2{}{0.49n})$ on polynomial-bit inputs in a word-RAM model, where n is the number of input integers. The time bound holds on every random execution.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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