Add to ORKGThe security of most elliptic curve cryptosystems is based on the intractability of the Elliptic Curve Discrete Logarithm Problem (ECDLP). Such a problem turns out to be computationally unfeasible when elliptic curves are suitably chosen. This paper provides an algorithm to obtain cryptographically good elliptic curves from a given one. The core of such a procedure lies on the usage of successive chains of isogenies, visiting different volcanoes of isogenies which are located in different l–cordilleras
The crux of elliptic curve cryptography, a popular mechanism for securing data, is an asymmetric pro...
In cryptography, the aim is to achieve security through encryption and this involves transforming a ...
Cryptography is an evolving field that research into discreet mathematical equation that is represen...
\textit{Isogeny graphs} are a type of graphs, where the vertices represent elliptic curves and the e...
Isogenies, the mappings of elliptic curves, have become a useful tool in cryptology. These mathemati...
Preserving a strong connection between mathematics and information security, elliptic and hyperellip...
The isogeny-based cryptosystem is the most recent category in the field of postquantum cryptography....
Abstract. Motivated by the advantages of using elliptic curves for discrete logarithm-based public-k...
Isogeny volcanoes are graphs whose vertices are elliptic curves and whose edges are $\ell$-isogenies...
Elliptic curve cryptography has received more and more attention from the security industry over the...
List of Tables. List of Figures. Foreword. Preface. 1. Public Key Cryptography. 2. The Group Law on...
The application of elliptic curves to the field of cryptography has been relatively recent. It has o...
Elliptic Curve Cryptography (ECC) represents a different way to do public-key cryptography and it of...
More than 25 years ago, elliptic curves over finite fields were suggested as a group in which the Di...
Elliptic curves constitute one of the main topics of this book. They have been proposed for applicat...
The crux of elliptic curve cryptography, a popular mechanism for securing data, is an asymmetric pro...
In cryptography, the aim is to achieve security through encryption and this involves transforming a ...
Cryptography is an evolving field that research into discreet mathematical equation that is represen...
\textit{Isogeny graphs} are a type of graphs, where the vertices represent elliptic curves and the e...
Isogenies, the mappings of elliptic curves, have become a useful tool in cryptology. These mathemati...
Preserving a strong connection between mathematics and information security, elliptic and hyperellip...
The isogeny-based cryptosystem is the most recent category in the field of postquantum cryptography....
Abstract. Motivated by the advantages of using elliptic curves for discrete logarithm-based public-k...
Isogeny volcanoes are graphs whose vertices are elliptic curves and whose edges are $\ell$-isogenies...
Elliptic curve cryptography has received more and more attention from the security industry over the...
List of Tables. List of Figures. Foreword. Preface. 1. Public Key Cryptography. 2. The Group Law on...
The application of elliptic curves to the field of cryptography has been relatively recent. It has o...
Elliptic Curve Cryptography (ECC) represents a different way to do public-key cryptography and it of...
More than 25 years ago, elliptic curves over finite fields were suggested as a group in which the Di...
Elliptic curves constitute one of the main topics of this book. They have been proposed for applicat...
The crux of elliptic curve cryptography, a popular mechanism for securing data, is an asymmetric pro...
In cryptography, the aim is to achieve security through encryption and this involves transforming a ...
Cryptography is an evolving field that research into discreet mathematical equation that is represen...