A new generalization of the KMOV cryptosystem

被引：8

作者：

Boudabra, Maher ^{[1
]}

Nitaj, Abderrahmane ^{[2
]}

机构：

[1] Univ Monastir, Monastir, Tunisia

[2] Univ Caen Normandie, Lab Math Nicolas Oresme, Caen, France

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING | 2018年 / 57卷 / 1-2期

关键词：

KMOV cryptosystem; Elliptic curves; Prime power modulus; ELLIPTIC-CURVES; RSA;

D O I：

10.1007/s12190-017-1103-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The KMOV scheme is a public key cryptosystem based on an RSA modulus n = pq where p and q are large prime numbers with p equivalent to q equivalent to 2 (mod 3).It uses the points of an elliptic curve with equation y(2) equivalent to x(3) + b (mod n). In this paper, we propose a generalization of the KMOV cryptosystem with a prime power modulus of the form n = p(r)q(s) and study its resistance to the known attacks.

引用

页码：229 / 245

页数：17