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Electronic Colloquium on Computational Complexity

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TR22-172 | 2nd December 2022
Arkadev Chattopadhyay, Nikhil Mande, Swagato Sanyal, Suhail Sherif

Lifting to Parity Decision Trees Via Stifling

We show that the deterministic decision tree complexity of a (partial) function or relation $f$ lifts to the deterministic parity decision tree (PDT) size complexity of the composed function/relation $f \circ g$ as long as the gadget $g$ satisfies a property that we call stifling. We observe that several simple ... more >>>


TR22-171 | 21st November 2022
ECCC Admin

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TR22-170 | 15th November 2022
Huck Bennett

The Complexity of the Shortest Vector Problem

Revisions: 1

Computational problems on point lattices play a central role in many areas of computer science including integer programming, coding theory, cryptanalysis, and especially the design of secure cryptosystems. In this survey, we present known results and open questions related to the complexity of the most important of these problems, the ... more >>>



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