Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이향숙 | - |
dc.date.accessioned | 2016-08-28T11:08:48Z | - |
dc.date.available | 2016-08-28T11:08:48Z | - |
dc.date.issued | 2007 | - |
dc.identifier.isbn | 3540734880 | - |
dc.identifier.isbn | 9783540734888 | - |
dc.identifier.issn | 0302-9743 | - |
dc.identifier.other | OAK-13095 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/229130 | - |
dc.description.abstract | Recent developments on the Tate or Eta pairing computation over hyperelliptic curves by Duursma-Lee and Barreto et al. have focused on degenerate divisors. We present two efficient methods that work for general divisors to compute the Eta paring over divisor class groups of the hyperelliptic curves of genus 3. The first method generalizes the method of Barreto et al. so that it holds for general divisors, and we call it the pointwise method. For the second method, we take a novel approach using resultant. We focus on the case that two divisors of the pairing have supporting points in not in . Our analysis shows that the resultant method is faster than the pointwise method, and our implementation result supports the theoretical analysis. In addition to the fact that the two methods work for general divisors, they also provide very explicit algorithms. © 2007 Springer-Verlag Berlin Heidelberg. | - |
dc.description.sponsorship | University of Tsukuba;IEEE Tokyo Section;The Japan Society for Industrial and Applied Mathematics (JSIAM) | - |
dc.language | English | - |
dc.title | Eta pairing computation on general divisors over hyperelliptic curves y2 = x7 - X ± 1 | - |
dc.type | Conference Paper | - |
dc.relation.volume | 4575 LNCS | - |
dc.relation.index | SCOPUS | - |
dc.relation.startpage | 349 | - |
dc.relation.lastpage | 366 | - |
dc.relation.journaltitle | Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) | - |
dc.identifier.doi | 10.1007/978-3-540-73489-5_20 | - |
dc.identifier.scopusid | 2-s2.0-50049130844 | - |
dc.author.google | Lee E. | - |
dc.author.google | Lee H.-S. | - |
dc.author.google | Lee Y. | - |
dc.contributor.scopusid | 이향숙(34870017000) | - |
dc.date.modifydate | 20230411110859 | - |