{"title":"Jacobsthal数和Jacobsthal- lucas数在编码理论中的应用","authors":"Bahar Kuloğlu, Engin Özkan","doi":"10.20948/mathmontis-2023-57-4","DOIUrl":null,"url":null,"abstract":"In this article, we have developed a new method for coding\\decoding the Jacobsthal and Jacobsthal-Lucas sequences via matrix representations. In this method, coding\\decoding is done by transforming the messages into a square matrix. This process aims to not only increase the reliability of information security technology but also to provide the ability to verify information at a high rate.","PeriodicalId":170315,"journal":{"name":"Mathematica Montisnigri","volume":"80 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Applications of Jacobsthal and Jacobsthal-Lucas numbers in coding theory\",\"authors\":\"Bahar Kuloğlu, Engin Özkan\",\"doi\":\"10.20948/mathmontis-2023-57-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, we have developed a new method for coding\\\\decoding the Jacobsthal and Jacobsthal-Lucas sequences via matrix representations. In this method, coding\\\\decoding is done by transforming the messages into a square matrix. This process aims to not only increase the reliability of information security technology but also to provide the ability to verify information at a high rate.\",\"PeriodicalId\":170315,\"journal\":{\"name\":\"Mathematica Montisnigri\",\"volume\":\"80 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematica Montisnigri\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.20948/mathmontis-2023-57-4\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematica Montisnigri","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.20948/mathmontis-2023-57-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Applications of Jacobsthal and Jacobsthal-Lucas numbers in coding theory
In this article, we have developed a new method for coding\decoding the Jacobsthal and Jacobsthal-Lucas sequences via matrix representations. In this method, coding\decoding is done by transforming the messages into a square matrix. This process aims to not only increase the reliability of information security technology but also to provide the ability to verify information at a high rate.