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含3阶点椭圆曲线的同构类 被引量:1

Isomorphism Classes of Elliptic Curves with 3-Torsion Point
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摘要 研究了定义在有限域Fq上含3阶Fq-有理点的椭圆曲线簇的Fq-同构类和Fq-同构类,并给出了精确的计数公式。 The numbers of Fq-isomorphism classes and Fq-isomorphism classes of elliptic curves defined over Fq with a 3torsion Fq-rational point are enumerated.
出处 《北京大学学报(自然科学版)》 EI CAS CSCD 北大核心 2010年第5期699-703,共5页 Acta Scientiarum Naturalium Universitatis Pekinensis
基金 国家自然科学基金资助项目(10990011)
关键词 椭圆曲线 密码学 同构类 j-不变量 elliptic curves cryptography isomorphism classes j-invariant
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  • 1Koblitz N. Elliptic curve cryptosystems. Mathematics of Computation, 1987, 48 ( 177 ) : 203-209.
  • 2Miller V S. Use of elliptic curves in cryptography // Williams H C. Advances in Cryptology-CRYPTO'85: LNCS 218. Berlin: Springer-Verlag, 1985:417-426.
  • 3Bernstein D J, Lange T. Analysis and optimization of elliptic-curve single-scalar multiplication. Contemp Math, 2008, 461:1-20.
  • 4Feng Rongquan, Wu Hongfeng, Number of general Jacobi quartic curves over finite fields [ EB/OL ]. (2010-01-13) [2010-01-16]. http: //eprint. iacr. org/ 2010/020.
  • 5Menezes A J. Elliptic curve public key cryptosystems. Boston: Kluwer Academic Publishers, 1993.
  • 6Rezaeian F, Shparlinski I E. On the number of distinct elliptic curves in some families. Designs, Codes and Cryptography, 2010, 54 ( 1 ) : 83-99.
  • 7Schoof R. Nonsigular plane cubic curves over finite field. J Combine Theory Set A, 1987(46) : 183-211.
  • 8Doche C, Icart T, Kohel D R. Efficient scalar miltiplication by isogeny decompositions // Yung M, Dodis Y, Kiayias A, et al. PKC 2006: LNCS 3958. Berlin : Springer-Verlag, 2006 : 191-206.
  • 9Feng Rongquan, Wu Hongfeng, Wang Zilong. Fast point multiplication formulae on elliptic curves of Weierstrass form. Journal of Wuhan University: Natural Science Edition, 2008, 54(5): 530-534.
  • 10Joye M, Quisquater J. Hessian elliptic curves and side- channel attacks //Koc C K, Naccache D, Paar C. CHES 2001 : LNCS 2162. Berlin: Springer-Verlag, 2001 : 402-410.

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