{"title":"Cryptanalysis of RSA with small difference of primes and two decryption exponents: Jochemsz and May approach","authors":"R. Santosh Kumar, S. Krishna","doi":"10.1080/01611194.2022.2109943","DOIUrl":null,"url":null,"abstract":"Abstract RSA is a well-known cryptosystem in Modern Cryptography and its efficiency is based on the hardness of the Integer Factorization problem. The algorithm is shown to be vulnerable to several attacks in a number of special scenarios with assumptions. In this paper, the strength of RSA is investigated if the primes in the modulus are close and the same modulus is used for two instances. The attack is highly efficient compared to other known attacks which are only concentrated on either closeness of the primes or the same modulus used for two or more instances. This attack examines the closeness of the primes chosen whenever the RSA system is used for two instances with the same modulus. The LLL algorithm is used to obtain the bound, and the bound is highly efficient compared to other known attacks.","PeriodicalId":55202,"journal":{"name":"Cryptologia","volume":"47 1","pages":"570 - 583"},"PeriodicalIF":0.3000,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Cryptologia","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.1080/01611194.2022.2109943","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
引用次数: 2
Abstract
Abstract RSA is a well-known cryptosystem in Modern Cryptography and its efficiency is based on the hardness of the Integer Factorization problem. The algorithm is shown to be vulnerable to several attacks in a number of special scenarios with assumptions. In this paper, the strength of RSA is investigated if the primes in the modulus are close and the same modulus is used for two instances. The attack is highly efficient compared to other known attacks which are only concentrated on either closeness of the primes or the same modulus used for two or more instances. This attack examines the closeness of the primes chosen whenever the RSA system is used for two instances with the same modulus. The LLL algorithm is used to obtain the bound, and the bound is highly efficient compared to other known attacks.
期刊介绍：
Cryptologia is the only scholarly journal in the world dealing with the history, the technology, and the effect of the most important form of intelligence in the world today - communications intelligence. It fosters the study of all aspects of cryptology -- technical as well as historical and cultural. The journal"s articles have broken many new paths in intelligence history. They have told for the first time how a special agency prepared information from codebreaking for President Roosevelt, have described the ciphers of Lewis Carroll, revealed details of Hermann Goering"s wiretapping agency, published memoirs - written for it -- of some World War II American codebreakers, disclosed how American codebreaking affected the structure of the United Nations.
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