{"title":"Simple analysis of graph tests for linearity and PCP","authors":"J. Håstad, A. Wigderson","doi":"10.1109/CCC.2001.933891","DOIUrl":null,"url":null,"abstract":"We give a simple analysis of the PCP (probabilistically Checkable Proof) with low amortized query complexity of Samorodnitsky and Trevisan (2000). The analysis also applied 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.","PeriodicalId":240268,"journal":{"name":"Proceedings 16th Annual IEEE Conference on Computational Complexity","volume":"2 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2001-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"90","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings 16th Annual IEEE Conference on Computational Complexity","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCC.2001.933891","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 90
Abstract
We give a simple analysis of the PCP (probabilistically Checkable Proof) with low amortized query complexity of Samorodnitsky and Trevisan (2000). The analysis also applied 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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