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Counting isomorphism classes of pointed hyperelliptic curves of genus 4 over finite fields with odd characteristic
Deng, Yingpu; Liu, Mulan
2008-08-01
Source PublicationEUROPEAN JOURNAL OF COMBINATORICS
ISSN0195-6698
Volume29Issue:6Pages:1436-1448
AbstractThis paper is devoted to computing the number of isomorphism classes of pointed hyperelliptic curves over finite fields. We deal with the genus-4 case and the finite fields are of odd characteristic. The number of isomorphism classes is computed. This number can be represented as a polynomial in q of degree 7, where q is the order of the finite field. The results have applications in the classification problems and in the hyperelliptic curve cryptosystems. (C) 2007 Elsevier Ltd. All rights reserved.
DOI10.1016/j.ejc.2007.06.007
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000257047200006
PublisherACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/6944
Collection系统科学研究所
Corresponding AuthorDeng, Yingpu
AffiliationChinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing, Peoples R China
Recommended Citation
GB/T 7714
Deng, Yingpu,Liu, Mulan. Counting isomorphism classes of pointed hyperelliptic curves of genus 4 over finite fields with odd characteristic[J]. EUROPEAN JOURNAL OF COMBINATORICS,2008,29(6):1436-1448.
APA Deng, Yingpu,&Liu, Mulan.(2008).Counting isomorphism classes of pointed hyperelliptic curves of genus 4 over finite fields with odd characteristic.EUROPEAN JOURNAL OF COMBINATORICS,29(6),1436-1448.
MLA Deng, Yingpu,et al."Counting isomorphism classes of pointed hyperelliptic curves of genus 4 over finite fields with odd characteristic".EUROPEAN JOURNAL OF COMBINATORICS 29.6(2008):1436-1448.
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