Characteristic Polynomials of a Class of Jacobi Quartic Curves over Finite Field

机译：有限域上一类Jacobi四次曲线的特征多项式

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摘要

This paper explicitly computes the characteristic polynomials and the number of rational points or the order of rational point group of a class of the Jacobi quartic curves over the finite field.

机译：本文明确地计算了有限域上一类Jacobi四次曲线的特征多项式和有理点的数量或有理点组的阶数。

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《International Conference on Mathematics and Computers in Sciences and in Industry》|2014年|89-93|共5页
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Dongqin Wang; Lin You;
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polynomials; public key cryptography; Jacobi quartic curves; characteristic polynomials; elliptic curve cryptography; explicit analysis; finite field; rational point group order; Elliptic curve cryptography; Elliptic curves; Galois fields; Jacobian matrices; Polynomials; Elliptic curves; Jacobi quartic; characteristic polynomials; cryptography;

机译：多项式;公钥密码学; Jacobi四次曲线;特征多项式;椭圆曲线密码学;显式分析;有限域;有理点群序;椭圆曲线密码学;椭圆曲线; Galois字段; Jacobian矩阵;多项式;椭圆曲线; Jacobi四次;特征多项式;密码学;

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1. ON THE NUMBER OF ISOMORPHISM CLASSES OF JACOBI QUARTIC CURVES OVER A FINITE FIELD [J] . HONGFENG WU, LI ZHU Journal of Theoretical and Applied Information Technology . 2013,第2期

机译：有限域上的雅各比正交曲线的同构类的数目
2. Characteristic polynomials of the curve v~2 = u~p -au-b over finite fields of characteristic p [J] . Lin You, Shuhong Gao, Hui Xue Finite fields and their applications . 2013,第may期

机译：特征p的有限域上曲线v〜2 = u〜p -au-b的特征多项式
3. On the characteristic polynomials of the Frobenius endomorphism for projective curves over finite fields [J] . Yves Aubry, Marc Perret Finite fields and their applications . 2004,第3期

机译：有限域上射影曲线的Frobenius同构特征多项式。
4. Isomorphism Classes of Jacobi Quartic Curve over Finite Fields [C] . Hongfeng Wu, Rongquan Feng Information technology convergence, secure and trust computing, and data management. . 2012

机译：有限域上雅可比四次曲线的同构类
5. Quaternion algebras and elliptic curves over function fields of finite characteristic. [D] . Flynn, Ryan T. 2013

机译：具有有限特征的函数域上的四元数代数和椭圆曲线。
6. Representation of ... formula ...-Bernstein polynomials in terms of ... formula ...-Jacobi polynomials [O] . F Soleyman, I Area, M Masjed-Jamei, -1

机译：... ... ...-Bernstein多项式的表示形式... ... ... -Jacobi多项式
7. Number of general Jacobi quartic curves over finite fields [O] . Feng, Rongquan, Wu, Hongfeng 2010

机译：有限域上的一般Jacobi四次曲线的数量

Characteristic Polynomials of a Class of Jacobi Quartic Curves over Finite Field

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