{"title":"A Survey of Chosen-Prefix Collision Attacks","authors":"M.M.J. Stevens","doi":"10.1017/9781108854207.009","DOIUrl":"https://doi.org/10.1017/9781108854207.009","url":null,"abstract":"Cryptographic hash functions are the swiss army knives within cryptography. They are used in many applications including digital signature schemes, message authentication codes, password hashing, cryptocurrencies and content-addressable storage. The security or even the proper functioning of these applications relies on the security property that is the main focus of this chapter: collision resistance. For instance, all major digital signature schemes rely on the hash-then-sign paradigm. This implies that for any colliding pair x , y with H(x) = H(y), any signature for x is also an unwanted valid signature for y, and vice versa. When finding meaningful collision pairs (x, y) is practical, this can have grave implications as will become clear below.","PeriodicalId":274354,"journal":{"name":"Computational Cryptography","volume":"100 2","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"113940510","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Arithmetic Software Libraries","authors":"V. Shoup","doi":"10.1017/9781108854207.012","DOIUrl":"https://doi.org/10.1017/9781108854207.012","url":null,"abstract":"This chapter discusses NTL, a library for doing number theory, as well as its relation to a few other libraries. NTL is a high-performance, portable C++ library providing data structures and algorithms for manipulating signed, arbitrary length integers, and for vectors, matrices, and polynomials over the integers and over finite fields. It is maintained and mostly written by the author, although a number of contributions have been made by others.","PeriodicalId":274354,"journal":{"name":"Computational Cryptography","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121374288","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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