Division polynomials on the Hessian model of elliptic curves

被引：0
|
作者：
Fouazou Lontouo, Perez Broon [1 ]
Fouotsa, Emmanuel [2 ]
Tieudjo, Daniel [3 ]
机构：
[1] Univ Maroua, Fac Sci, Dept Math & Comp Sci, POB 814, Maroua, Cameroon
[2] Univ Bamenda, Higher Teacher Training Coll, Dept Math, POB 37, Bambili, Cameroon
[3] Univ Ngaoundere, ENSAI, POB 454, Ngaoundere, Cameroon
来源：
APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 2023年 / 34卷 / 01期
关键词：
Elliptic curves; Division polynomial; Hessian curves; Mean-value theorem; TORSION; INTERSECTION; POINTS; FIELDS;
D O I：
10.1007/s00200-020-00470-8
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
In this paper we derive formulas for the scalar multiplication by n map, denoted [n], on the Hessian model of elliptic curve. This enables to characterize n-torsion points on this curve. The computation involves three families of polynomials P-n, Q(n) and V-n and we show some properties on the coefficients and degrees of these polynomials. We also show some functional equations satisfied by these polynomials. As application we provide a type of mean-value theorem for the Hessian elliptic curve.
引用
收藏
页码：1 / 16
页数：16
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