{"title":"A new ranking function for polynomial selection in the number field sieve","authors":"N. David, P. Zimmermann","doi":"10.1090/CONM/754/15139","DOIUrl":null,"url":null,"abstract":"This article explains why the classical Murphy-E ranking function might fail to correctly rank polynomial pairs in the Number Field Sieve, and proposes a new ranking function.","PeriodicalId":369218,"journal":{"name":"75 Years of Mathematics of\n Computation","volume":"64 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"75 Years of Mathematics of\n Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/CONM/754/15139","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
This article explains why the classical Murphy-E ranking function might fail to correctly rank polynomial pairs in the Number Field Sieve, and proposes a new ranking function.