Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 조국화 | - |
dc.date.accessioned | 2019-08-01T16:30:26Z | - |
dc.date.available | 2019-08-01T16:30:26Z | - |
dc.date.issued | 2019 | - |
dc.identifier.issn | 0938-1279 | - |
dc.identifier.other | OAK-24452 | - |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/250362 | - |
dc.description.abstract | In this paper, we present a refinement of the Cipolla–Lehmer type algorithm given by H. C. Williams in 1972, and later improved by K. S. Williams and K. Hardy in 1993. For a given r-th power residue c∈ F q where r is an odd prime, the algorithm of H. C. Williams determines a solution of X r = c in O(r 3 log q) multiplications in F q , and the algorithm of K. S. Williams and K. Hardy finds a solution in O(r 4 + r 2 log q) multiplications in F q . Our refinement finds a solution in O(r 3 + r 2 log q) multiplications in F q . Therefore our new method is better than the previously proposed algorithms independent of the size of r, and the implementation result via SageMath shows a substantial speed-up compared with the existing algorithms. It should be mentioned that our method also works for a composite r. © 2018, Springer-Verlag GmbH Germany, part of Springer Nature. | - |
dc.language | English | - |
dc.publisher | Springer Verlag | - |
dc.subject | Adleman–Manders–Miller algorithm | - |
dc.subject | Cipolla–Lehmer algorithm | - |
dc.subject | Finite field | - |
dc.subject | Primitive root | - |
dc.subject | r-th root | - |
dc.title | On the Cipolla–Lehmer type algorithms in finite fields | - |
dc.type | Article | - |
dc.relation.issue | 2 | - |
dc.relation.volume | 30 | - |
dc.relation.index | SCIE | - |
dc.relation.index | SCOPUS | - |
dc.relation.startpage | 135 | - |
dc.relation.lastpage | 145 | - |
dc.relation.journaltitle | Applicable Algebra in Engineering, Communications and Computing | - |
dc.identifier.doi | 10.1007/s00200-018-0362-2 | - |
dc.identifier.wosid | WOS:000459512300004 | - |
dc.identifier.scopusid | 2-s2.0-85049037115 | - |
dc.author.google | Cho G.H. | - |
dc.author.google | Go B. | - |
dc.author.google | Kim C.H. | - |
dc.author.google | Koo N. | - |
dc.author.google | Kwon S. | - |
dc.contributor.scopusid | 조국화(55700404300) | - |
dc.date.modifydate | 20230303081001 | - |