{"title":"以素数幂模计算椭圆曲线上的点","authors":"J. Chahal, O. Khadir","doi":"10.37193/cmi.2022.01.05","DOIUrl":null,"url":null,"abstract":"\"Let p > 3 be a prime number and r > 0 an integer. In this paper, we give a formula for counting the points of elliptic curves over the modular ring Z/p^{r }Z.\"","PeriodicalId":112946,"journal":{"name":"Creative Mathematics and Informatics","volume":"62 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Counting points on elliptic curves modulo a prime power\",\"authors\":\"J. Chahal, O. Khadir\",\"doi\":\"10.37193/cmi.2022.01.05\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\\"Let p > 3 be a prime number and r > 0 an integer. In this paper, we give a formula for counting the points of elliptic curves over the modular ring Z/p^{r }Z.\\\"\",\"PeriodicalId\":112946,\"journal\":{\"name\":\"Creative Mathematics and Informatics\",\"volume\":\"62 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-02-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Creative Mathematics and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.37193/cmi.2022.01.05\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Creative Mathematics and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.37193/cmi.2022.01.05","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Counting points on elliptic curves modulo a prime power
"Let p > 3 be a prime number and r > 0 an integer. In this paper, we give a formula for counting the points of elliptic curves over the modular ring Z/p^{r }Z."
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