Art

J-GLOBAL ID：200902148300286894   Reference number：99A0826357

Comparing the MOV and FR Reductions in Elliptic Curve Cryptography.

楕円曲線暗号におけるMOV帰着とFR帰着の比較について

Author (4)： HARASAWA RYUICHI (大阪大 大学院) ,  SHIKATA JUNJI (大阪大 大学院) ,  SUZUKI JO (大阪大 大学院) ,  IMAI HIDEKI (東大 生産技研)
Material： 電子情報通信学会論文誌 A  (IEICE Transaction on Fundamentals of Electronics, Communications and Computer Sciences (Japan Edition))
Volume： J82-A  Issue： 8  Page： 1278-1290  Publication year： Aug. 25, 1999 
JST Material Number： S0621A  ISSN： 0913-5707  Document type： Article
Article type： 原著論文  Country of issue： Japan (JPN)  Language： JAPANESE (JA)

Thesaurus term： *ellipse ,...
Semi thesaurus term： 楕円曲線暗号 ,...

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JST classification (2)： Code theory  (ND02030R) ,  Theory of computation  (JB02000A)

Reference (21)：

• L. Adleman. "A subexponential algorithm for discrete logarithms over the rational subgroup of the Jacobians of large genus hyperelliptic curves over finite fields," Algorithmic Number Theory. Lecture Notes in Computer Science. 1994, 877, 28-40
• A. Atkin. Elliptic curves and primality proving. Mathematics of Computation. 1993, 61, 29-68
• E. Bach. Algorithmic Number Theory. Efficient Algorithms. 1996, I
• R. Balasubramanian. The improbability that an elliptic curve has subexponential discrete log problem under the Menezes-Okamoto-Vanstone algorithm. Journal of Cryptology. 1998, 11, 141-145
• G. Frey. A remark concerning mdivisibility and the discrete logarithm in the divisor class group of curves. Mathematics of Computation. 1994, 62, 865-874

Terms in the title (2)： 楕円曲線暗号 ,  Fr