Results 71 to 80 of about 10,154 (300)

On the discrete logarithm problem in elliptic curves

open access: yes, 2010
We study the elliptic curve discrete logarithm problem over finite extension fields. We show that for any sequences of prime powers (qi)i∈ℕand natural numbers (ni)i∈ℕwithni⟶∞andni/log (qi)⟶0 fori⟶∞, the elliptic curve discrete logarithm problem ...
Claus Diem
core   +1 more source

Robotic Control for Human–Robot Collaborative Assembly Based on Digital Human Model and Reinforcement Learning

open access: yesAdvanced Robotics Research, EarlyView.
This work presents a robotic control method for human–robot collaborative assembly based on a biomechanics‐constrained digital human model. Reinforcement learning is used to generate physiologically plausible human motion trajectories, which are integrated into a virtual environment for robot control learning.
Bitao Yao   +4 more
wiley   +1 more source

Post-quantum public key-agreement scheme based on a new form of the hidden logarithm problem [PDF]

open access: yesComputer Science Journal of Moldova, 2019
A new form of the hidden discrete logarithm problem, proposed as primitive of the post-quantum public-key cryptoschemes, is defined over the 6-dimensional finite non-commutative associative algebra with a large set of the left-sided global units.
D.N. Moldovyan
doaj  

On the first fall degree of summation polynomials

open access: yesJournal of Mathematical Cryptology, 2019
We improve on the first fall degree bound of polynomial systems that arise from a Weil descent along Semaev’s summation polynomials relevant to the solution of the Elliptic Curve Discrete Logarithm Problem via Gröbner basis algorithms.
Kousidis Stavros, Wiemers Andreas
doaj   +1 more source

Survey on SAP and its application in public-key cryptography

open access: yesJournal of Mathematical Cryptology, 2020
The concept of the semigroup action problem (SAP) was first introduced by Monico in 2002. Monico explained in his paper that the discrete logarithm problem (DLP) can be generalized to SAP. After defining the action problem in a semigroup, the concept was
Goel Neha, Gupta Indivar, Dass B. K.
doaj   +1 more source

On the discrete logarithm problem

open access: yes, 2008
Let $p>2$ be prime and $g$ a primitive root modulo $p$. We present an argument for the fact that discrete logarithms of the numbers in any arithmetic progression are uniformly distributed in $[1,p]$ and raise some questions on the subject.
openaire   +2 more sources

a Special Elliptic Curve Discrete Logarithm Problem

open access: yes, 2020
Cheon first proposed a novel algorithm for solving discrete logarithm problem with auxiliary inputs. Given some points , , 2 , . . . , ∈ G, an attacker can solve the secret key efficiently.
Jiang Weng, Yunqi Dou, Chuangui Ma
core  

The elliptic curve discrete logarithm problem and equivalent hard problems for elliptic divisibility sequences [PDF]

open access: yes, 2008
. 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 the elliptic curve discrete logarithm problem is ...
E. Stange   +5 more
core   +1 more source

Data‐Driven Bulldozer Blade Control for Autonomous Terrain Leveling

open access: yesAdvanced Robotics Research, EarlyView.
A simulation‐driven framework for autonomous bulldozer leveling is presented, combining high‐fidelity terramechanics simulation with a neural‐network‐based reduced‐order model. Gradient‐based optimization enables efficient, low‐level blade control that balances leveling quality and operation time.
Harry Zhang   +5 more
wiley   +1 more source

Improved lower bound for Diffie–Hellman problem using multiplicative group of a finite field as auxiliary group

open access: yesJournal of Mathematical Cryptology, 2018
In 2004, Muzereau, Smart and Vercauteren [A. Muzereau, N. P. Smart and F. Vercauteren, The equivalence between the DHP and DLP for elliptic curves used in practical applications, LMS J. Comput. Math. 7 2004, 50–72] showed how to use a reduction algorithm
Kushwaha Prabhat
doaj   +1 more source

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