{"title":"某些极大曲线的$a$数","authors":"V. Nourozi, Saeed Tafazolian, Farhad Rahamti","doi":"10.22108/TOC.2021.124678.1758","DOIUrl":null,"url":null,"abstract":"In this paper, we compute a formula for the $a$-number of certain maximal curves given by the equation $y^{q}+y=x^{frac{q+1}{2}}$ over the finite field $mathbb{F}_{q^2}$. The same problem is studied for the maximal curve corresponding to $sum_{t=1}^s y^{q/2^t}=x^{q+1}$ with $q=2^s$, over the finite field $mathbb{F}_{q^2}$.","PeriodicalId":43837,"journal":{"name":"Transactions on Combinatorics","volume":"10 1","pages":"121-128"},"PeriodicalIF":0.6000,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"The $a$-number of jacobians of certain maximal curves\",\"authors\":\"V. Nourozi, Saeed Tafazolian, Farhad Rahamti\",\"doi\":\"10.22108/TOC.2021.124678.1758\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we compute a formula for the $a$-number of certain maximal curves given by the equation $y^{q}+y=x^{frac{q+1}{2}}$ over the finite field $mathbb{F}_{q^2}$. The same problem is studied for the maximal curve corresponding to $sum_{t=1}^s y^{q/2^t}=x^{q+1}$ with $q=2^s$, over the finite field $mathbb{F}_{q^2}$.\",\"PeriodicalId\":43837,\"journal\":{\"name\":\"Transactions on Combinatorics\",\"volume\":\"10 1\",\"pages\":\"121-128\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2021-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Transactions on Combinatorics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22108/TOC.2021.124678.1758\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions on Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22108/TOC.2021.124678.1758","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
The $a$-number of jacobians of certain maximal curves
In this paper, we compute a formula for the $a$-number of certain maximal curves given by the equation $y^{q}+y=x^{frac{q+1}{2}}$ over the finite field $mathbb{F}_{q^2}$. The same problem is studied for the maximal curve corresponding to $sum_{t=1}^s y^{q/2^t}=x^{q+1}$ with $q=2^s$, over the finite field $mathbb{F}_{q^2}$.
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