{"title":"A note on the shortest lattice vector problem","authors":"Ravi Kumar, D. Sivakumar","doi":"10.1109/CCC.1999.766277","DOIUrl":null,"url":null,"abstract":"We show that the problem of deciding whether a given rational lattice L has a vector of length less than some given value r is NP-hard under randomized reductions, even under the promise that L has exactly zero or one vector of length less than r.","PeriodicalId":432015,"journal":{"name":"Proceedings. Fourteenth Annual IEEE Conference on Computational Complexity (Formerly: Structure in Complexity Theory Conference) (Cat.No.99CB36317)","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1999-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"13","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings. Fourteenth Annual IEEE Conference on Computational Complexity (Formerly: Structure in Complexity Theory Conference) (Cat.No.99CB36317)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CCC.1999.766277","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 13
Abstract
We show that the problem of deciding whether a given rational lattice L has a vector of length less than some given value r is NP-hard under randomized reductions, even under the promise that L has exactly zero or one vector of length less than r.
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