Simple analysis of graph tests for linearity and PCP

Johan Håstad; Avi Wigderson

doi:10.1109/CCC.2001.933891

Simple analysis of graph tests for linearity and PCP

Johan Håstad
, Avi Wigderson

The Rachel and Selim Benin School of Engineering and Computer Science

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We give a simple analysis of the PCP with low amortized query complexity of Samorodnitsky and Trevisan [16]. The analysis also applies to the linearity testing over finite fields, giving a better estimate of the acceptance probability in terms of the distance of the tested function to the closest linear function.

Original language	English
Pages (from-to)	244-254
Number of pages	11
Journal	Proceedings of the Annual IEEE Conference on Computational Complexity
DOIs	https://doi.org/10.1109/CCC.2001.933891
State	Published - 2001

Keywords

Graph test
Iterated test
Linearity testing
PCP
Pseudorandomness

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10.1109/CCC.2001.933891

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abstract = "We give a simple analysis of the PCP with low amortized query complexity of Samorodnitsky and Trevisan [16]. The analysis also applies to the linearity testing over finite fields, giving a better estimate of the acceptance probability in terms of the distance of the tested function to the closest linear function.",

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KW - Iterated test

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KW - Pseudorandomness

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Simple analysis of graph tests for linearity and PCP

Abstract

Keywords

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