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In the recent world, security is a prime important issue, and encryption is one of the best alternative way to ensure security. More over, there are many image encryption schemes have been proposed, each one of them has its own strength and…

Cryptography and Security · Computer Science 2011-03-22 G. A. Sathishkumar , Dr. K. Bhoopathy bagan , Dr. N. Sriraam

Symmetric tensor operations arise in a wide variety of computations. However, the benefits of exploiting symmetry in order to reduce storage and computation is in conflict with a desire to simplify memory access patterns. In this paper, we…

Numerical Analysis · Mathematics 2014-10-21 Martin D. Schatz , Tze Meng Low , Robert A. van de Geijn , Tamara G. Kolda

Two-dimensional one-way coupled map lattices are used for cryptograph where multiple space units produce chaotic outputs in parallel. One of the outputs plays the role of driving for synchronization of the decryption system while the others…

Chaotic Dynamics · Physics 2015-06-26 Huaping Lu , Shihong Wang , Xiaowen Li , Guoning Tang , Jinyu Kuang , Weiping Ye , Gang Hu

Fully pairing all elements of a set while attempting to maximize the total benefit is a combinatorically difficult problem. Such pairing problems naturally appear in various situations in science, technology, economics, and other fields. In…

Data Structures and Algorithms · Computer Science 2023-01-25 Naoki Fujita , André Röhm , Takatomo Mihana , Ryoichi Horisaki , Aohan Li , Mikio Hasegawa , Makoto Naruse

Combinatorial optimization problems are typically NP-hard, and thus very challenging to solve. In this paper, we present the random key cuckoo search (RKCS) algorithm for solving the famous Travelling Salesman Problem (TSP). We used a…

Neural and Evolutionary Computing · Computer Science 2016-07-18 Aziz Ouaarab , B. Ahiod , Xin-She Yang

A new characterization of Hamiltonian graphs using f-cutset matrix is proposed. Based on this new characterization, a new exact polynomial time algorithm for the traveling salesman problem (TSP) is developed. We then define the so-called…

General Mathematics · Mathematics 2025-02-26 Dhananjay P. Mehendale

The Diffie-Hellman key exchange plays a crucial role in conventional cryptography, as it allows two legitimate users to establish a common, usually ephemeral, secret key. Its security relies on the discrete-logarithm problem, which is…

Quantum Physics · Physics 2025-01-17 Georgios M. Nikolopoulos

The protection of confidential information is a global issue and block encryption algorithms are the most reliable option. The famous information theorist, Claude Shannon has given two desirable characteristics that should exist in a strong…

Cryptography and Security · Computer Science 2022-05-30 Muhammad Fahad Khan , Khalid Saleem , Tariq Shah , Mohammad Mazyad Hazzazi , Ismail Bahkali , Piyush Kumar Shukla

Traveling salesman problem is a NP-hard problem. Until now, researchers have not found a polynomial time algorithm for traveling salesman problem. Among the existing algorithms, dynamic programming algorithm can solve the problem in time…

Data Structures and Algorithms · Computer Science 2015-10-16 Yunpeng Li

Many robotic applications, such as sanding, polishing, wiping and sensor scanning, require a manipulator to dexterously cover a surface using its end-effector. In this paper, we provide an efficient and effective coverage path planning…

Robotics · Computer Science 2025-02-28 Yeping Wang , Michael Gleicher

The Traveling Thief Problem (TTP) is a multi-component optimization problem that captures the interplay between routing and packing decisions by combining the classical Traveling Salesperson Problem (TSP) and the Knapsack Problem (KP). The…

Data Structures and Algorithms · Computer Science 2026-04-22 Jan Eube , Kelin Luo , Aneta Neumann , Frank Neumann , Heiko Röglin

We study two fundamental problems in communication, Document Exchange (DE) and Error Correcting Code (ECC). In the first problem, two parties hold two strings, and one party tries to learn the other party's string through communication. In…

Computational Complexity · Computer Science 2020-11-17 Kuan Cheng , Xin Li

This study explores the application of genetic algorithms in generating highly nonlinear substitution boxes (S-boxes) for symmetric key cryptography. We present a novel implementation that combines a genetic algorithm with the…

Cryptography and Security · Computer Science 2026-04-13 Oleksandr Kuznetsov , Nikolay Poluyanenko , Emanuele Frontoni , Marco Arnesano , Oleksii Smirnov

The travelling salesman problem (TSP) is a popular NP-hard-combinatorial optimization problem that requires finding the optimal way for a salesman to travel through different cities once and return to the initial city. The existing methods…

Quantum Physics · Physics 2026-01-28 Kapil Goswami , Gagan Anekonda Veereshi , Peter Schmelcher , Rick Mukherjee

We consider the line planning problem in public transport in the Parametric City, an idealized model that captures typical scenarios by a (small) number of parameters. The Parametric City is rotation symmetric, but optimal line plans are…

Optimization and Control · Mathematics 2022-01-25 Berenike Masing , Niels Lindner , Ralf Borndörfer

Ishai et al. (FOCS'06) introduced secure shuffling as an efficient building block for private data aggregation. Recently, the field of differential privacy has revived interest in secure shufflers by highlighting the privacy amplification…

Cryptography and Security · Computer Science 2025-12-02 Marc Damie , Florian Hahn , Andreas Peter , Jan Ramon

In previous work, the $k$-logistic map [Machicao and Bruno, Chaos, vol. 27, 053116 (2017)] was introduced as a transformation operating in the $k$ less significant digits of the Logistic map. It exploited the map's pseudo-randomness…

Chaotic Dynamics · Physics 2020-01-13 Jeaneth Machicao , Odemir M. Bruno , Murilo S. Baptista

In this work we consider the problem of finding the minimum-weight loop cover of an undirected graph. This combinatorial optimization problem is called 2-matching and can be seen as a relaxation of the traveling salesman problem since one…

Disordered Systems and Neural Networks · Physics 2018-08-28 Sergio Caracciolo , Andrea Di Gioacchino , Enrico M. Malatesta

Understanding the interactions between different combinatorial optimisation problems in real-world applications is a challenging task. Recently, the traveling thief problem (TTP), as a combination of the classical traveling salesperson…

Data Structures and Algorithms · Computer Science 2017-02-20 Frank Neumann , Sergey Polyakovskiy , Martin Skutella , Leen Stougie , Junhua Wu

The Traveling Salesperson problem asks for the shortest cyclic tour visiting a set of cities given their pairwise distances and belongs to the NP-hard complexity class, which means that with all known algorithms in the worst case instances…

Disordered Systems and Neural Networks · Physics 2016-10-18 Hendrik Schawe , Alexander K. Hartmann
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