{"title":"隐子集和问题的零知识证明","authors":"Charles F. de Barros","doi":"10.5753/sbseg.2017.19487","DOIUrl":null,"url":null,"abstract":"In this paper, we propose a zero-knowledge proof for a special case of the hidden subset sum problem. This problem was presented by [Boyko et al. 1998] as the underlying problem of methods for generating random pairs of the form (x, gx (mod p)) using precomputations. The proof we propose is an adaptation of a zero-knowledge protocol for the subset sum problem presented by [Blocki 2009].","PeriodicalId":322419,"journal":{"name":"Anais do XVII Simpósio Brasileiro de Segurança da Informação e de Sistemas Computacionais (SBSeg 2017)","volume":"45 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2017-11-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A Zero-Knowledge Proof for the Hidden Subset Sum Problem\",\"authors\":\"Charles F. de Barros\",\"doi\":\"10.5753/sbseg.2017.19487\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we propose a zero-knowledge proof for a special case of the hidden subset sum problem. This problem was presented by [Boyko et al. 1998] as the underlying problem of methods for generating random pairs of the form (x, gx (mod p)) using precomputations. The proof we propose is an adaptation of a zero-knowledge protocol for the subset sum problem presented by [Blocki 2009].\",\"PeriodicalId\":322419,\"journal\":{\"name\":\"Anais do XVII Simpósio Brasileiro de Segurança da Informação e de Sistemas Computacionais (SBSeg 2017)\",\"volume\":\"45 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2017-11-06\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Anais do XVII Simpósio Brasileiro de Segurança da Informação e de Sistemas Computacionais (SBSeg 2017)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5753/sbseg.2017.19487\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Anais do XVII Simpósio Brasileiro de Segurança da Informação e de Sistemas Computacionais (SBSeg 2017)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5753/sbseg.2017.19487","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
本文给出了隐子集和问题的一种特殊情况的零知识证明。这个问题由[Boyko et al. 1998]提出,作为使用预计算生成形式为(x, gx (mod p))的随机对的方法的潜在问题。我们提出的证明是对[Blocki 2009]提出的子集和问题的零知识协议的改编。
A Zero-Knowledge Proof for the Hidden Subset Sum Problem
In this paper, we propose a zero-knowledge proof for a special case of the hidden subset sum problem. This problem was presented by [Boyko et al. 1998] as the underlying problem of methods for generating random pairs of the form (x, gx (mod p)) using precomputations. The proof we propose is an adaptation of a zero-knowledge protocol for the subset sum problem presented by [Blocki 2009].