This work demonstrates a deterministic counter-example to the randomness assumption in SETH, suggesting new insights.
This work presents a structural counter-example to the 'unstructured hardness' assumptions underlying the Strong Exponential Time Hypothesis (SETH). By demonstrating a deterministic 'Determinant Lock' and a division-free transition mechanism in Fermat factorization, we show that the solution space is highly anisotropic. This finding challenges the universality of SETH, proving that structural shortcuts exist where randomness was previously assumed.
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Ender UYGUN (2026) studied this question.
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