Counting isomorphism classes of pointed hyperelliptic curves of genus 4 over finite fields with odd characteristic

doi:10.1016/j.ejc.2007.06.007

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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
发表期刊	EUROPEAN JOURNAL OF COMBINATORICS
ISSN	0195-6698
卷号	29 期号:6 页码:1436-1448
摘要	This 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.
DOI	10.1016/j.ejc.2007.06.007
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000257047200006
出版者	ACADEMIC PRESS LTD- ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6944
专题	系统科学研究所
通讯作者	Deng, Yingpu
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing, Peoples R China
推荐引用方式 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.