{"title":"基于lucas的单向函数的位安全性","authors":"Si-Wei Ren, Ke Lu","doi":"10.1109/AsiaJCIS.2014.9","DOIUrl":null,"url":null,"abstract":"In 1993, Smith and Lennon described a new public key cryptosystem based on a Lucas sequences, called Lucas cryptosystem (LUC). Its construction is similar to RSA, but its computing faster and using smaller key size than RSA with the same security strength. In this paper, we presented a new hardcore predicate of LUC and proved its security by the list decoding method developed by Akavia et al.","PeriodicalId":354543,"journal":{"name":"2014 Ninth Asia Joint Conference on Information Security","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2014-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Bit Security for Lucas-Based One-Way Function\",\"authors\":\"Si-Wei Ren, Ke Lu\",\"doi\":\"10.1109/AsiaJCIS.2014.9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In 1993, Smith and Lennon described a new public key cryptosystem based on a Lucas sequences, called Lucas cryptosystem (LUC). Its construction is similar to RSA, but its computing faster and using smaller key size than RSA with the same security strength. In this paper, we presented a new hardcore predicate of LUC and proved its security by the list decoding method developed by Akavia et al.\",\"PeriodicalId\":354543,\"journal\":{\"name\":\"2014 Ninth Asia Joint Conference on Information Security\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2014-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2014 Ninth Asia Joint Conference on Information Security\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/AsiaJCIS.2014.9\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2014 Ninth Asia Joint Conference on Information Security","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/AsiaJCIS.2014.9","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In 1993, Smith and Lennon described a new public key cryptosystem based on a Lucas sequences, called Lucas cryptosystem (LUC). Its construction is similar to RSA, but its computing faster and using smaller key size than RSA with the same security strength. In this paper, we presented a new hardcore predicate of LUC and proved its security by the list decoding method developed by Akavia et al.