지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
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A new algorithm is proposed for the construction of Brezing-Weng-like elliptic curves such that polynomials de ning the CM discrim-inant are linear. Using this construction, new families of curves with variable discriminants and embedding degrees of k∈2｛8, 16, 20, 24g｝, which were not covered by Freeman, Scott, and Teske [9], are presented. Our re-sult is useful for constructing elliptic curves with larger and more exible discriminants.
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참고문헌 (17)
참고문헌 신청
A. Joux / 2000 / A one round protocol for tripartite Diffie-Hellman, Proceedings of Algorithmic Number Theory Symposium, ANTS-IV / Lecture Notes in Computer Science 1838 : 3
A. V. Sutherland / 2011 / Computing Hilbert class polynomials with the Chinese Remainder Theorem / Math. Comp 80 (273) : 501 ~ 538
D. Boneh / 2001 / Identity-based encryption from the Weil pairing. Advances in Cryptography, Proceedings of Crypto 2001 / Lecture Notes in Computer Science 2139 : 213 ~ 229
D. Boneh / 2002 / Short signatures from the Weil pairing, Advances in Cryptology: Proceedings of Asiacrypt 2001 / Lecture Notes in Computer Science 2248 : 514 ~ 532
D. Freeman / 2006 / Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10, Algorithmic Number Theory Symposium ANTS-VII / Lecture Notes in Computer Sci- ence
A. V. Sutherland / 2011 / Computing Hilbert class polynomials with the Chinese Remainder Theorem / Math. Comp 80 (273) : 501 ~ 538
D. Boneh / 2001 / Identity-based encryption from the Weil pairing. Advances in Cryptography, Proceedings of Crypto 2001 / Lecture Notes in Computer Science 2139 : 213 ~ 229
D. Boneh / 2002 / Short signatures from the Weil pairing, Advances in Cryptology: Proceedings of Asiacrypt 2001 / Lecture Notes in Computer Science 2248 : 514 ~ 532
D. Freeman / 2006 / Constructing Pairing-Friendly Elliptic Curves with Embedding Degree 10, Algorithmic Number Theory Symposium ANTS-VII / Lecture Notes in Computer Sci- ence
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