DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Hahn, Sang-Geun | - |
dc.contributor.advisor | 한상근 | - |
dc.contributor.author | Cheon, Jeong-Heui | - |
dc.contributor.author | 천정희 | - |
dc.date.accessioned | 2011-12-14T04:59:15Z | - |
dc.date.available | 2011-12-14T04:59:15Z | - |
dc.date.issued | 1993 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=68859&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/42375 | - |
dc.description | 학위논문(석사) - 한국과학기술원 : 수학과 정수론 전공, 1993.8, [ [ii], 16, [2] p. ; ] | - |
dc.description.abstract | The multiplication-by-m map on an elliptic curve E can be expressed by the division polynomials $\psi_n$, $\omega_n$ and $\phi_n$. The polynomials satisfy the relation $\psi_{nm}(M) =\psi_n(M)^{m^2}\psi_m([n])M)$. Based on this fact, we can show that if E is supersungular over $F_p$, then $\psi_p\equiv=-1$ mod p. Furthermore, p $\equiv$ 3 mod 4 or $\Bigg(\frac{\triangle}{p})\Bigg)=-1$$. And we apply this fact to test whether a prime p is supersingular or not over E. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.title | On division polynomials and supersingular elliptic curve | - |
dc.title.alternative | Division 다항식과 Supersingular 타원 곡선에 대하여 | - |
dc.type | Thesis(Master) | - |
dc.identifier.CNRN | 68859/325007 | - |
dc.description.department | 한국과학기술원 : 수학과 정수론 전공, | - |
dc.identifier.uid | 000911583 | - |
dc.contributor.localauthor | Hahn, Sang-Geun | - |
dc.contributor.localauthor | 한상근 | - |
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