DSpace at EWHA: A study on the construction of efficient pairing-friendly elliptic curves

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DC Field	Value	Language
dc.contributor.author	오주영	-
dc.creator	오주영	-
dc.date.accessioned	2016-08-25T06:08:05Z	-
dc.date.available	2016-08-25T06:08:05Z	-
dc.date.issued	2008	-
dc.identifier.other	OAK-000000037971	-
dc.identifier.uri	https://dspace.ewha.ac.kr/handle/2015.oak/183721	-
dc.identifier.uri	http://dcollection.ewha.ac.kr/jsp/common/DcLoOrgPer.jsp?sItemId=000000037971	-
dc.description.abstract	The selection of a pairing-friendly elliptic curve for a practical application to cryptography depends on many factors. We study about pairing, pairingfriendly elliptic curves and several important factors for choice of pairing-friendly elliptic curves. In the conclusion section (Section 7), we propose some future works to investigate for pairing-friendly curves.;암호에서 효과적으로 응용할 수 있는 pairing-friendly elliptic curve를 결정하는 데에 있어서 여러 가지 중요한 요소들이 있다. 이 논문에서는 암호에서 쓰이는 pairing과 pairing-friendly elliptic curve에 대해 설명하고 pairing-friendly elliptic curve를 선택할 때 중요한 요소에 대하여 공부한다. 마지막 절에서는 앞으로 해 나아가야 할 연구분야를 제시한다.	-
dc.description.tableofcontents	1. Introduction = 1 2. Preliminaries = 4 2.1 Pairing-friendly elliptic curves = 4 2.2 Constructions of pairing-friendly elliptic curves = 6 3. Curves with small β value = 8 3.1 Curves with β~2 = 8 3.2 Curves with β<2 = 9 4. Curves with efficient arithmetic = 11 4.1 Twist and compression = 11 4.1.1 Existence of twist = 11 4.1.2 Example of quadratic twist = 13 4.1.3 Example of quartic twist = 14 4.1.4 Example of sextic twist = 16 4.2 Extension field arithmetic = 18 5. Ate-friendly curves = 20 6. Other factors = 22 6.1 Distortion maps = 22 6.2 Low hamming weight = 22 6.3 Composite order = 23 7. Conclusion = 25 References = 26 논문초록 = 28	-
dc.format	application/pdf	-
dc.format.extent	486121 bytes	-
dc.language	eng	-
dc.publisher	이화여자대학교 대학원	-
dc.title	A study on the construction of efficient pairing-friendly elliptic curves	-
dc.type	Master's Thesis	-
dc.creator.othername	Oh, Joo Young	-
dc.format.page	ii, 28 p.	-
dc.identifier.thesisdegree	Master	-
dc.identifier.major	대학원 수학과	-
dc.date.awarded	2008. 2	-