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Electronic Colloquium on Computational Complexity

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REPORTS > KEYWORD > RANDOM SELF-REDUCTIONS:
Reports tagged with random self-reductions:
TR26-048 | 24th March 2026
Shuichi Hirahara, Nobutaka Shimizu

Optimal Random Self-Reductions for All Linear Problems

The linear problem specified by an $n \times n$ matrix $M$ over a finite field is the problem of computing the product of $M$ and a given vector $x$. We present optimal error-tolerant random self-reductions (also known as worst-case to average-case reductions) for all linear problems: Given a linear-size circuit ... more >>>




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