搜索结果: 1-9 共查到“elliptic curve discrete logarithm”相关记录9条 . 查询时间(0.081 秒)
A New Method for Geometric Interpretation of Elliptic Curve Discrete Logarithm Problem
Intersection of Curves Grobner Basis Vanishing Ideals
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2019/9/19
In this paper, we intend to study the geometric meaning of the discrete logarithm problem defined over an Elliptic Curve. The key idea is to reduce the Elliptic Curve Discrete Logarithm Problem (EC-DL...
A Las Vegas algorithm to solve the elliptic curve discrete logarithm problem
public-key cryptography algorithm depends
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2018/2/8
In this paper, we describe a new Las Vegas algorithm to solve the elliptic curve discrete logarithm problem. The algorithm depends on a property of the group of rational points of an elliptic curve an...
Harder, Better, Faster, Stronger - Elliptic Curve Discrete Logarithm Computations on FPGAs
elliptic curve cryptography discrete logarithm problem hardware design
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2016/1/4
Computing discrete logarithms takes time. It takes time to develop new algorithms, choose the best algorithms, implement these algorithms correctly and efficiently, keep the system running for several...
Recent progress on the elliptic curve discrete logarithm problem
Recent progress the elliptic curve discrete logarithm problem
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2015/12/22
We survey recent work on the elliptic curve discrete logarithm problem.
In particular we review index calculus algorithms using summation polynomials, and
claims about their complexity.
Solving the Elliptic Curve Discrete Logarithm Problem Using Semaev Polynomials, Weil Descent and Gr鯾ner Basis Methods -- an Experimental Study
public-key cryptography Elliptic curve discrete logarithm problem
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2014/3/8
At ASIACRYPT 2012, Petit and Quisquater suggested that there may be a subexponential-time index-calculus type algorithm for the Elliptic Curve Discrete Logarithm Problem (ECDLP) in characteristic two ...
Speeding Up Elliptic Curve Discrete Logarithm Computations with Point Halving
discrete logarithms Point Halving
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2012/3/26
Pollard rho method and its parallelized variants are at present known as the best generic algorithms for computing elliptic curve discrete logarithms. We propose new iteration function for the rho met...
Elliptic divisibility sequences and the elliptic curve discrete logarithm problem
elliptic divisibility sequences elliptic curve cryptography elliptic curve discrete logarithm problem
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2009/6/9
We use properties of the division polynomials of an elliptic
curve E over a finite field Fq together with a pure result about elliptic
divisibility sequences from the 1940s to construct a very simpl...
The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences
elliptic curve discrete logarithm problem equivalent hard problems elliptic divisibility sequences
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2009/6/3
We define three hard problems in the theory of elliptic divisibility
sequences (EDS Association, EDS Residue and EDS Discrete
Log), each of which is solvable in sub-exponential time if and only if t...
Solving Elliptic Curve Discrete Logarithm Problems Using Weil Descent
Solving Elliptic Curve Logarithm Problems Weil Descent
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2009/4/16
Solving Elliptic Curve Discrete Logarithm Problems Using Weil Descent.