{"title":"New lower bounds for trace reconstruction","authors":"Zachary Chase","doi":"10.1214/20-AIHP1089","DOIUrl":null,"url":null,"abstract":"We improve the lower bound on worst case trace reconstruction from Ω(n5/4logn) to Ω(n3/2log7n). As a consequence, we improve the lower bound on average case trace reconstruction from Ω(log9/4n loglogn) to Ω(log5/2n(loglogn)7).","PeriodicalId":7902,"journal":{"name":"Annales De L Institut Henri Poincare-probabilites Et Statistiques","volume":"20 1","pages":"627-643"},"PeriodicalIF":1.2000,"publicationDate":"2019-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"37","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales De L Institut Henri Poincare-probabilites Et Statistiques","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1214/20-AIHP1089","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
引用次数: 37
Abstract
We improve the lower bound on worst case trace reconstruction from Ω(n5/4logn) to Ω(n3/2log7n). As a consequence, we improve the lower bound on average case trace reconstruction from Ω(log9/4n loglogn) to Ω(log5/2n(loglogn)7).
期刊介绍：
The Probability and Statistics section of the Annales de l’Institut Henri Poincaré is an international journal which publishes high quality research papers. The journal deals with all aspects of modern probability theory and mathematical statistics, as well as with their applications.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
