On the Number of Distinct Legendre, Jacobi and Hessian Curves
نویسنده
چکیده
We give explicit formulas for the number of distinct elliptic curves over a finite field, up to isomorphism, in the families of Legendre, Jacobi, Hessian and generalized Hessian curves.
منابع مشابه
On the Number of Distinct Legendre , Jacobi , Hessian and Edwards Curves ( Extended Abstract ) Reza
We give explicit formulas for the number of distinct elliptic curves over a finite field, up to isomorphism, in the families of Legendre, Jacobi, Hessian and Edwards curves.
متن کاملThe coefficients of differentiated expansions of double and triple Jacobi polynomials
Formulae expressing explicitly the coefficients of an expansion of double Jacobi polynomials which has been partially differentiated an arbitrary number of times with respect to its variables in terms of the coefficients of the original expansion are stated and proved. Extension to expansion of triple Jacobi polynomials is given. The results for the special cases of double and triple ultraspher...
متن کاملFaster Group Operations on Special Elliptic Curves
This paper is on efficient implementation techniques of Elliptic Curve Cryptography. We improve group operation timings for Hessian and Jacobi-intersection forms of elliptic curves. In this study, traditional coordinates of these forms are modified to speed up the addition operations. For the completeness of our study, we also recall the modified Jacobiquartic coordinates which benefits from si...
متن کاملSolving the fractional integro-differential equations using fractional order Jacobi polynomials
In this paper, we are intend to present a numerical algorithm for computing approximate solution of linear and nonlinear Fredholm, Volterra and Fredholm-Volterra integro-differential equations. The approximated solution is written in terms of fractional Jacobi polynomials. In this way, firstly we define Riemann-Liouville fractional operational matrix of fractional order Jacobi polynomials, the...
متن کاملNumber of Jacobi quartic curves over finite fields
In this paper the number of Fq-isomorphism classes of Jacobi quartic curves, i.e., the number of Jacobi quartic curves with distinct jinvariants, over finite field Fq is enumerated.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2011