{"title":"毕达哥拉斯圆在密码学中的应用及对未来非经典系统的一些思考","authors":"Mehmet Merkepci, Maretta Sarkis","doi":"10.54216/gjmsa.020205","DOIUrl":null,"url":null,"abstract":"In this work, we present a direct application for Pythagorean circles in the theory of cryptography by using integer points on these circles, as well as we describe some numerical systems to generalize classical well-known crypto-algorithms and systems. Also, we illustrate many examples to clarify the validity of our work.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"158 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems\",\"authors\":\"Mehmet Merkepci, Maretta Sarkis\",\"doi\":\"10.54216/gjmsa.020205\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this work, we present a direct application for Pythagorean circles in the theory of cryptography by using integer points on these circles, as well as we describe some numerical systems to generalize classical well-known crypto-algorithms and systems. Also, we illustrate many examples to clarify the validity of our work.\",\"PeriodicalId\":299243,\"journal\":{\"name\":\"Galoitica: Journal of Mathematical Structures and Applications\",\"volume\":\"158 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Galoitica: Journal of Mathematical Structures and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.54216/gjmsa.020205\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Galoitica: Journal of Mathematical Structures and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.54216/gjmsa.020205","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An Application of Pythagorean Circles in Cryptography and Some Ideas for Future Non Classical Systems
In this work, we present a direct application for Pythagorean circles in the theory of cryptography by using integer points on these circles, as well as we describe some numerical systems to generalize classical well-known crypto-algorithms and systems. Also, we illustrate many examples to clarify the validity of our work.