{"title":"Stream cipher based on post-commutative quasigroups","authors":"Yunqing Xu","doi":"10.1109/ICISE.2010.5690319","DOIUrl":null,"url":null,"abstract":"A quasigroup (A, ⊙) is said to be post-commutative if a ⊙ b = c implies a ⊙ c = b for all a, b, c ∈ Q. In this paper, we design a stream cipher based on post-commutative quasigroups and analyse its security. A lower bound of the total number of post-commutative quasigroups of a given order, and constructions of post-commutative quasigroups are also given in this paper.","PeriodicalId":206435,"journal":{"name":"The 2nd International Conference on Information Science and Engineering","volume":"56 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The 2nd International Conference on Information Science and Engineering","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICISE.2010.5690319","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
A quasigroup (A, ⊙) is said to be post-commutative if a ⊙ b = c implies a ⊙ c = b for all a, b, c ∈ Q. In this paper, we design a stream cipher based on post-commutative quasigroups and analyse its security. A lower bound of the total number of post-commutative quasigroups of a given order, and constructions of post-commutative quasigroups are also given in this paper.
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