{"title":"编码理论在三阶射影空间中的新应用","authors":"Hajir Abdullah, N. Yahya","doi":"10.31972/ticma22.14","DOIUrl":null,"url":null,"abstract":"The main aim of this paper is to introduce the relationship between the topic of coding theory and the projective space in field three and test the code. The maximum value of size of code over finite field of order three and an incidence matrix with the parameters, n (length of code), d (minimum distance of code) and e (error-correcting of code) have been constructed. With a theorem and a result that test the code if it is perfect or not.","PeriodicalId":269628,"journal":{"name":"Proceeding of 3rd International Conference of Mathematics and its Applications","volume":"3 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"New Applications of Coding Theory in The Projective Space of Order Three\",\"authors\":\"Hajir Abdullah, N. Yahya\",\"doi\":\"10.31972/ticma22.14\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The main aim of this paper is to introduce the relationship between the topic of coding theory and the projective space in field three and test the code. The maximum value of size of code over finite field of order three and an incidence matrix with the parameters, n (length of code), d (minimum distance of code) and e (error-correcting of code) have been constructed. With a theorem and a result that test the code if it is perfect or not.\",\"PeriodicalId\":269628,\"journal\":{\"name\":\"Proceeding of 3rd International Conference of Mathematics and its Applications\",\"volume\":\"3 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-10-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceeding of 3rd International Conference of Mathematics and its Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.31972/ticma22.14\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceeding of 3rd International Conference of Mathematics and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31972/ticma22.14","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
New Applications of Coding Theory in The Projective Space of Order Three
The main aim of this paper is to introduce the relationship between the topic of coding theory and the projective space in field three and test the code. The maximum value of size of code over finite field of order three and an incidence matrix with the parameters, n (length of code), d (minimum distance of code) and e (error-correcting of code) have been constructed. With a theorem and a result that test the code if it is perfect or not.
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