搜索结果: 1-15 共查到“Hyperelliptic curves”相关记录55条 . 查询时间(0.092 秒)
A New Method for Decomposition in the Jacobian of Small Genus Hyperelliptic Curves
Discrete Log Index calculus Hyperelliptic curve
2016/1/6
Decomposing a divisor over a suitable factor basis in the Jacobian of a hyperelliptic
curve is a crucial step in an index calculus algorithm for the discrete log problem in the
Jacobian. For small g...
A Simple Method for Obtaining Relations Among Factor Basis Elements for Special Hyperelliptic Curves
hyperelliptic curves index calculus algorithm Nagao’s decomposition
2016/1/3
Nagao had proposed a decomposition method for divisors of hyperelliptic curves defined over a field \rFqn with n≥2. Joux and Vitse had later proposed a variant which provided relations among the facto...
Bit Security of the Hyperelliptic Curves Diffie-Hellman Problem
Hyperelliptic curves Bit Security Diffie-Hellman Problem
2015/12/29
The Diffie-Hellman problem as a cryptographic primitive plays an
important role in modern cryptology. The Bit Security or Hard-Core Bits of
Diffie-Hellman problem in arbitrary finite cyclic group is...
Motivated by the advantages of using elliptic curves for discrete logarithm-based public-key cryptography, there is an active research area investigating the potential of using hyperelliptic curves of...
Classification of Elliptic/hyperelliptic Curves with Weak Coverings against GHS Attack under an Isogeny Condition
Weil descent attack GHS attack
2014/3/11
The GHS attack is known as a method to map the discrete logarithm problem(DLP) in the Jacobian of a curve C_{0} defined over the d degree extension k_{d} of a finite field k to the DLP in the Jacobian...
A note on semi-bent functions with multiple trace terms and hyperelliptic curves
Boolean function Walsh-Hadamard transformation Semi-bent functions Dickson polynomial Hyperelliptic curves
2012/3/22
Semi-bent functions with even number of variables are a class of important Boolean functions whose Hadamard transform takes three values. In this note we are interested in the property of semi-bentnes...
A note on semi-bent functions with multiple trace terms and hyperelliptic curves
Boolean function Walsh-Hadamard transformation Semi-bent functions Dickson polynomial Hyperelliptic curves
2012/3/22
Semi-bent functions with even number of variables are a class of important Boolean functions whose Hadamard transform takes three values. In this note we are interested in the property of semi-bentnes...
A note on semi-bent functions with multiple trace terms and hyperelliptic curves
Boolean function Walsh-Hadamard transformation
2012/6/14
Semi-bent functions with even number of variables are a class of important Boolean functions whose Hadamard transform takes three values. In this note we are interested in the property of semi-bentnes...
A note on semi-bent functions with multiple trace terms and hyperelliptic curves
Boolean function Walsh-Hadamard transformation Semi-bent functions Dickson polynomial Hyperelliptic curves
2012/3/21
Semi-bent functions with even number of variables are a class of important Boolean functions whose Hadamard transform takes three values. In this note we are interested in the property of semi-bentnes...
Group Law Computations on Jacobians of Hyperelliptic Curves
Hyperelliptic curves group law Jacobian arithmetic genus 2
2012/3/28
We derive an explicit method of computing the composition step in Cantor's algorithm for group operations on Jacobians of hyperelliptic curves. Our technique is inspired by the geometric description o...
Geometric Group Law Computations on Jacobians of Hyperelliptic Curves
foundations Hyperelliptic curves group law Jacobian arithmetic genus 2
2011/7/25
We derive a new method of computing the composition step in Cantor's algorithm for group operations on Jacobians of hyperelliptic curves.
Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation
Explicit Formulas Real Hyperelliptic Curves Affine Representation
2011/3/11
We present a complete set of efficient explicit formulas for arithmetic
in the degree 0 divisor class group of a genus two real hyperelliptic curve
givenin affine coordinates. In addition to formula...
Computing Discrete Logarithms in the Jacobian of High-Genus Hyperelliptic Curves over Even Characteristic Finite Fields
Computing Discrete Logarithms High-Genus Hyperelliptic Curves Characteristic Finite Fields
2011/3/10
We describe improved versions of index-calculus algorithms for
solving discrete logarithm problems in Jacobians of high-genus hyperelliptic
curves de ned over even characteristic elds. Our rst imp...
Explicit Formulas for Real Hyperelliptic Curves of Genus 2 in Affine Representation
foundations / hyperelliptic curve, reduced divisor, infrastructure and distance Cantor’s algorithm explicit formulas efficient implementation cryptographic key exchange
2012/3/29
We present a complete set of efficient explicit formulas for arithmetic in the degree 0 divisor class group of a genus two real hyperelliptic curve given in affine coordinates. In addition to formulas...
Computing Discrete Logarithms in the Jacobian of High-Genus Hyperelliptic Curves over Even Characteristic Finite Fields
foundations / hyperelliptic curves discrete logarithm problem sieving, Weil descent
2012/3/29
We describe improved versions of index-calculus algorithms for solving discrete logarithm problems in Jacobians of high-genus hyperelliptic curves defi ned over even characteristic fields. Our first i...