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We study the complexity of securely evaluating arithmetic circuits over finite rings. This question is motivated by natural secure computation tasks. Focusing mainly on the case of two-party protocols with security against malicious…

Cryptography and Security · Computer Science 2008-11-08 Yuval Ishai , Manoj Prabhakaran , Amit Sahai

Sharding, i.e. splitting the miners or validators to form and run several subchains in parallel, is known as one of the main solutions to the scalability problem of blockchains. The drawback is that as the number of miners expanding each…

Cryptography and Security · Computer Science 2021-08-23 Nastaran Abadi Khooshemehr , Mohammad Ali Maddah-Ali

This paper provides an overview of how crypto currency and blockchain engineering interacts with the law enforcement. We point out that a large proportion of crypto users are amateur investors and the dominant and the largest segment in…

Cryptography and Security · Computer Science 2021-09-03 Nicolas T. Courtois , Kacper T. Gradon , Klaus Schmeh

With the advent of Internet of Things (IoT) and the increasing use of application-based processors, security infrastructure needs to be examined on some widely-used IoT hardware architectures. Applications in today's world are moving…

Cryptography and Security · Computer Science 2018-12-07 Praneet Singh , Kedar Deshpande

The 6th problem of the 50th International Mathematical Olympiad (IMO), held in Germany, 2009, is called 'the grasshopper problem'. To this problem Kos developed theory from unique viewpoints by reference of Noga Alon's combinatorial…

General Mathematics · Mathematics 2020-01-01 Yasushi Ieno

In recent years, a growing number of cryptosystems based on chaos have been proposed, many of them fundamentally flawed by a lack of robustness and security. This paper describes the security weaknesses of a recently proposed cryptographic…

Chaotic Dynamics · Physics 2007-10-30 Gonzalo Alvarez , Shujun Li

To empower smart contracts with the promising capabilities of cryptography, Ethereum officially introduced a set of cryptographic APIs that facilitate basic cryptographic operations within smart contracts, such as elliptic curve operations.…

Software Engineering · Computer Science 2023-12-18 Jiashuo Zhang , Jiachi Chen , Zhiyuan Wan , Ting Chen , Jianbo Gao , Zhong Chen

Computationally hard problems based on coding theory, such as the syndrome decoding problem, have been used for constructing secure cryptographic schemes for a long time. Schemes based on these problems are also assumed to be secure against…

Cryptography and Security · Computer Science 2024-09-12 Puja Mondal , Supriya Adhikary , Suparna Kundu , Angshuman Karmakar

Solving Sudoku puzzles is one of the most popular pastimes in the world. Puzzles range in difficulty from easy to very challenging; the hardest puzzles tend to have the most empty cells. The current paper explains and compares three…

Optimization and Control · Mathematics 2013-05-17 Eric C. Chi , Kenneth Lange

Deep neural models have repeatedly proved excellent at memorizing surface patterns from large datasets for various ML and NLP benchmarks. They struggle to achieve human-like thinking, however, because they lack the skill of iterative…

Computation and Language · Computer Science 2020-04-29 Gözde Gül Şahin , Yova Kementchedjhieva , Phillip Rust , Iryna Gurevych

Quantum computers impose an immense threat to system security. As a countermeasure, new cryptographic classes have been created to prevent these attacks. Technologies such as post-quantum cryptography and quantum cryptography. Quantum…

Cryptography and Security · Computer Science 2025-06-04 Luiz Filipi Anderson de Sousa Moura , Carlos Becker Westphall

In recent years cyber-attacks are continuously developing. This means that hackers can find their way around the traditional cryptosystems. This calls for new and more secure cryptosystems to take their place. This paper outlines a new…

Cryptography and Security · Computer Science 2020-08-31 Awnon Bhowmik , Unnikrishnan Menon

This book arises from the need to provide a clear and up-to-date overview of the impacts of quantum computing on cryptography. The goal is to provide a reference in Portuguese for undergraduate, master's, and doctoral students in the field…

Cryptography and Security · Computer Science 2026-01-27 Darlan Noetzold , Valderi Reis Quietinho Leithardt

Network coding is a new technique to transmit data through a network by letting the intermediate nodes combine the packets they receive. Given a network, the network coding solvability problem decides whether all the packets requested by…

Information Theory · Computer Science 2013-07-24 Maximilien Gadouleau

The rapid advancement of large reasoning models has saturated existing math benchmarks, underscoring the urgent need for more challenging evaluation frameworks. To address this, we introduce OlymMATH, a rigorously curated, Olympiad-level…

Computation and Language · Computer Science 2026-04-14 Haoxiang Sun , Yingqian Min , Zhipeng Chen , Wayne Xin Zhao , Ji-Rong Wen

We consider the problem of secure and reliable communication over a noisy multipath network. Previous work considering a noiseless version of our problem proposed a hybrid universal network coding cryptosystem (HUNCC). By combining an…

Information Theory · Computer Science 2022-02-08 Alejandro Cohen , Rafael G. L. D'Oliveira , Ken R. Duffy , Muriel Médard

The security of code-based cryptography relies primarily on the hardness of generic decoding with linear codes. The best generic decoding algorithms are all improvements of an old algorithm due to Prange: they are known under the name of…

Cryptography and Security · Computer Science 2017-02-09 Thomas Debris-Alazard , Jean-Pierre Tillich

One of the possible generalizations of the discrete logarithm problem to arbitrary groups is the so-called conjugacy search problem (sometimes erroneously called just the conjugacy problem): given two elements a, b of a group G and the…

Group Theory · Mathematics 2007-05-23 Vladimir Shpilrain

Computing devices are vital to all areas of modern life and permeate every aspect of our society. The ubiquity of computing and our reliance on it has been accelerated and amplified by the COVID-19 pandemic. From education to work…

Computers and Society · Computer Science 2021-01-06 Nadya Bliss , Lawrence A. Gordon , Daniel Lopresti , Fred Schneider , Suresh Venkatasubramanian

Today, the protection of information, ensuring of the safety and the recall in lossless in case of need is highly significant and it is seen as a major threat in the field. Information security is possible by hiding the available data, by…

Cryptography and Security · Computer Science 2019-02-13 Nurettin Topaloglu , M. Hanefi Calp , Burak Turk
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