{"title":"关于传递可微模pn函数","authors":"A. Ivachev","doi":"10.1515/gcc-2015-0014","DOIUrl":null,"url":null,"abstract":"Abstract For the class of differentiable modulo pn functions, the numbers of all bijective and transitive functions are found. A recurrent formula for calculating inverse functions is constructed, and the bijectivity and transitivity conditions are formulated.","PeriodicalId":41862,"journal":{"name":"Groups Complexity Cryptology","volume":"115 1","pages":"183 - 190"},"PeriodicalIF":0.1000,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On transitive differentiable modulo pn functions\",\"authors\":\"A. Ivachev\",\"doi\":\"10.1515/gcc-2015-0014\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract For the class of differentiable modulo pn functions, the numbers of all bijective and transitive functions are found. A recurrent formula for calculating inverse functions is constructed, and the bijectivity and transitivity conditions are formulated.\",\"PeriodicalId\":41862,\"journal\":{\"name\":\"Groups Complexity Cryptology\",\"volume\":\"115 1\",\"pages\":\"183 - 190\"},\"PeriodicalIF\":0.1000,\"publicationDate\":\"2015-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Groups Complexity Cryptology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/gcc-2015-0014\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Groups Complexity Cryptology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/gcc-2015-0014","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Abstract For the class of differentiable modulo pn functions, the numbers of all bijective and transitive functions are found. A recurrent formula for calculating inverse functions is constructed, and the bijectivity and transitivity conditions are formulated.
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