elliptic curves, cryptography © Copyright Hewlett-Packard Company 1997 In this short note we describe an elementary technique which leads to a linear algorithm for solving the discrete logarithm problem on elliptic curves of trace one. In practice the method described means that when choosing elliptic curves to use in cryptography one has to eliminate all curves whose group orders are equal to the order of the finite field
Abstract. Let E be an elliptic curve over the finite field Fq, P a point in E(Fq) of order n, and Q ...
Since nobody can guarantee that the computation of discrete logarithms in elliptic curves or IF p...
Cheon first proposed a novel algorithm for solving discrete logarithm problem with auxiliary inputs....
The crux of elliptic curve cryptography, a popular mechanism for securing data, is an asymmetric pro...
The main focus of this thesis is the so-called elliptic curve discrete logarithm problem. The statem...
The main focus of this thesis is the so-called elliptic curve discrete logarithm problem. The statem...
grantor: University of TorontoThe discrete logarithm problem has been the basis of numerou...
grantor: University of TorontoThe discrete logarithm problem has been the basis of numerou...
The discrete logarithm problem is one of the most common trap- door functions in asymmetric cryptogr...
The discrete logarithm problem is one of the most common trap- door functions in asymmetric cryptogr...
[[abstract]]In this master thesis, we talk about the discrete logarithm on an elliptic curve, and th...
Abstract — Huhnlein et al showed that for totally non-aximal imaginary quadratic orders, the discre...
Abstract. Cryptographic protocols often make use of the inherent hardness of the classical discrete ...
List of Tables. List of Figures. Foreword. Preface. 1. Public Key Cryptography. 2. The Group Law on...
The crux of elliptic curve cryptography, a popular mechanism for securing data, is an asymmetric pro...
Abstract. Let E be an elliptic curve over the finite field Fq, P a point in E(Fq) of order n, and Q ...
Since nobody can guarantee that the computation of discrete logarithms in elliptic curves or IF p...
Cheon first proposed a novel algorithm for solving discrete logarithm problem with auxiliary inputs....
The crux of elliptic curve cryptography, a popular mechanism for securing data, is an asymmetric pro...
The main focus of this thesis is the so-called elliptic curve discrete logarithm problem. The statem...
The main focus of this thesis is the so-called elliptic curve discrete logarithm problem. The statem...
grantor: University of TorontoThe discrete logarithm problem has been the basis of numerou...
grantor: University of TorontoThe discrete logarithm problem has been the basis of numerou...
The discrete logarithm problem is one of the most common trap- door functions in asymmetric cryptogr...
The discrete logarithm problem is one of the most common trap- door functions in asymmetric cryptogr...
[[abstract]]In this master thesis, we talk about the discrete logarithm on an elliptic curve, and th...
Abstract — Huhnlein et al showed that for totally non-aximal imaginary quadratic orders, the discre...
Abstract. Cryptographic protocols often make use of the inherent hardness of the classical discrete ...
List of Tables. List of Figures. Foreword. Preface. 1. Public Key Cryptography. 2. The Group Law on...
The crux of elliptic curve cryptography, a popular mechanism for securing data, is an asymmetric pro...
Abstract. Let E be an elliptic curve over the finite field Fq, P a point in E(Fq) of order n, and Q ...
Since nobody can guarantee that the computation of discrete logarithms in elliptic curves or IF p...
Cheon first proposed a novel algorithm for solving discrete logarithm problem with auxiliary inputs....