[PDF] Top 20 Educación ambiental : un reto para alcanzar el desarrollo sostenible
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A New Index Calculus Algorithm for the Elliptic Curve Discrete Logarithm Problem and Summation Polynomial Evaluation
... of summation polynomials for elliptic curves by Semaev has opened up new avenues of investigation in index calcu- lus type algorithms for the elliptic curve discrete ... See full document
18
A Las Vegas algorithm to solve the elliptic curve discrete logarithm problem
... the discrete logarithm ...the index-calculus attack [7, Section ...to index calculus for elliptic curves, known as xedni calculus, was developed by Silverman [8, ... See full document
11
Solving the Elliptic Curve Discrete Logarithm Problem Using Semaev Polynomials, Weil Descent and Grbner Basis Methods -- an Experimental Study
... subexponential-time index-calculus type algorithm for the Elliptic Curve Discrete Logarithm Problem (ECDLP) in characteristic two ...This algorithm uses ... See full document
59
Modified Baby Step Giant Step Algorithm to Solve Elliptic Curve Discrete Logarithm Problem (ECDLP)
... Giant-step algorithm [6], the Pollard Rho algorithm [7] and the Pohlig-Hellman algorithm[8] are some of the well known generic algorithms to find discrete log while the Index ... See full document
137
Summation polynomial algorithms for elliptic curves in characteristic two
... than index calculus algorithms for the ECDLP (and even for variants such as the oracle-assisted static Diffie-Hellman problem of Granger and Joux-Vitse) over prime extension fields F 2 n of ... See full document
110
On the First Fall Degree of Summation Polynomials
... an algorithm such as Faug` ere’s F 4 and F 5 (see [4, ...the Elliptic Curve Discrete Logarithm Problem ...to polynomial equations arising from a Weil descent along ... See full document
9
Using Symmetries in the Index Calculus for Elliptic Curves Discrete Logarithm
... this problem is denoted PDP. In this paper, we will apply this algorithm to the case of Edwards curves, the well-known family of elliptic curves that al- low faster arithmetic as shown by Bernstein ... See full document
105
A New Method for Decomposition in the Jacobian of Small Genus Hyperelliptic Curves
... hyperelliptic curve is a crucial step in an index calculus algorithm for the discrete log problem in the ...a new method for decomposition over the same factor ...the ... See full document
96
New algorithm for the discrete logarithm problem on elliptic curves
... complexity of two stages. First collecting a system of ≤ 2 k , k = dn/me linear relations (7) and then solving them. The probability of producing one linear relation by solving at least one system of multivariate Boolean ... See full document
7
Authenticated Multiple Key Establishment Protocol for Wireless Sensor Networks
... Abstract. The article proposes a provably secure authenticated multiple key estab- lishment protocol for Wireless Sensor Network. Security of the protocol is based on the computational infeasiblity of solving ... See full document
167
New Random Walk Technique and Collision Detection Algorithm to Improve the Pollard RHO Attack of Solving Discrete Logarithm Problem on Elliptic Curves
... Detection Algorithm: Stack is an ordinary method used for abstract data type in many programming languages associated with two operations push and ...Rho algorithm cycle detection algorithm using ... See full document
12
CRYPTOGRAPHIC PROTOCOLS USING ELLIPTIC CURVE OVER FINITE FIELDS
... the elliptic curve is ...the curve has two or more distinct tangent ...of elliptic curve of third degree over the field of integers K having the form y 2 x 3 ax b ...this ... See full document
10
A PARALLEL PASSWORD-AUTHENTICATED KEY EXCHANGE PROTOCOL FOR WIRELESS ENVIRONMENTS
... the elliptic curve discrete logarithm prob- lem (ECDLP) and has the benefit of the key block size, speed and ...attack problem, so they proposed an improved authenticated key agreement ... See full document
49
A NEW APPROACH TO THE DISCRETE LOGARITHM PROBLEM WITH AUXILIARY INPUTS
... multipoint evaluation method on the exponentiated ...the polynomial being encrypted by an additive homomorphic encryption ...the evaluation costs O(M (d) log d) homomorphic opera- tions (additions ... See full document
6
Harder, Better, Faster, Stronger - Elliptic Curve Discrete Logarithm Computations on FPGAs
... ASIC vs FPGA Design. In literature it is possible to find a lot of FPGA and ASIC designs optimized for some objective. Some authors even dare to compare FPGA and ASIC results. However, several of the largest components ... See full document
8
The Discrete-Logarithm Problem with Preprocessing
... computational problem is hard when a certain number of points of the random oracle are fixed (“presampled”), then the problem is hard in the random-oracle model against preprocessing adversaries using a ... See full document
7
Blockchain as cryptanalytic tool
... There are several algorithms to solve instances of the DLP. The most celebrated one being Pollard’s Rho algorithm [3] and its variants. This algorithm can be parallelized [8] with linear speed-up using ... See full document
15
Generic Hardness of the Multiple Discrete Logarithm Problem
... Remark 2. While we may extend our examination of MDL solvers to include those with non- negligible success probability, that would complicate the relationship between n, p, and the number of queries, since a solver may ... See full document
30
Security Authentication through a Near-Field Communication in Asymmetric Cryptography
... The algorithm Randal allows for a variety of block and key sizes and not just the 64 and 56 bits of DES’ block and key ...the algorithm can only accept a block size of 128 bits and a choice of three keys - ... See full document
72
EFFICIENT MAPPING METHODS FOR ELLIPTIC CURVE CRYPTOSYSTEMS
... the elliptic curve ...the curve on basis of one-to-one, it is also easy for him to guess which character is mapped to which coordinate of the ... See full document
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