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This paper presents the concept of digit polynomials, which leads to a deterministic and unconditional integer factorization algorithm with the runtime complexity $\mathcal{O}(N^{1/4+\epsilon})$. Strassen's well known factoring approach is…

Number Theory · Mathematics 2015-12-22 Markus Hittmeir

Data fragmentation and dispersal over multiple clouds is a way of data protection against honest-but-curious storage or service providers. In this paper, we introduce a novel algorithm for data fragmentation that is particularly well…

Cryptography and Security · Computer Science 2018-04-06 Katarzyna Kapusta , Gerard Memmi

We propose a general algorithmic framework for constrained matrix and tensor factorization, which is widely used in signal processing and machine learning. The new framework is a hybrid between alternating optimization (AO) and the…

Machine Learning · Statistics 2016-08-24 Kejun Huang , Nicholas D. Sidiropoulos , Athanasios P. Liavas

An algorithm is given to factor an integer with $N$ digits in $\ln^m N$ steps, with $m$ approximately 4 or 5. Textbook quadratic sieve methods are exponentially slower. An improvement with the aid of an a particular function would provide a…

General Physics · Physics 2007-05-23 Gordon Chalmers

We introduce a protocol called ENCORE which simultaneously compresses and encrypts data in a one-pass process that can be implemented efficiently and possesses a number of desirable features as a streaming encoder/decoder. Motivated by the…

Cryptography and Security · Computer Science 2025-01-28 Joshua Cooper , Grant Fickes

Fast Fourier Transform (FFT) is one of the most important tools in digital signal processing. FFT costs O(N \log N) for transforming a signal of length N. Recently, Sparse Fourier Transform (SFT) has emerged as a critical issue addressing…

Data Structures and Algorithms · Computer Science 2015-05-25 Sung-Hsien Hsieh , Chun-Shien Lu , Soo-Chang Pei

Two-way fiber-optic time transfer is a promising precise time synchronization technique with sub-nanosecond accuracy. However, asymmetric delay attack is a serious threat which cannot be prevent by any encryption method. In this paper, a…

Quantum annealing is a heuristic algorithm for solving combinatorial optimization problems, and D-Wave Systems Inc. has developed hardware for implementing this algorithm. The current version of the D-Wave quantum annealer can solve…

Quantum Physics · Physics 2022-11-09 Shuntaro Okada , Masayuki Ohzeki , Shinichiro Taguchi

In symmetric key cryptography the sender as well as the receiver possess a common key. Asymmetric key cryptography involves generation of two distinct keys which are used for encryption and decryption correspondingly. The sender converts…

Cryptography and Security · Computer Science 2016-03-25 Akashdeep Bhardwaj , GVB Subrahmanyam , Vinay Avasthi , Hanumat Sastry

In recent years, establishing secure visual communications has turned into one of the essential problems for security engineers and researchers. However, only limited novel solutions are provided for image encryption, and limiting the…

Cryptography and Security · Computer Science 2022-04-19 Navid Abapour , Mohsen Ebadpour

This article describes a lightweight additive homomorphic algorithm with the same encryption and decryption keys. Compared to standard additive homomorphic algorithms like Paillier, this algorithm reduces the computational cost of…

Cryptography and Security · Computer Science 2024-04-03 Wuqiong Pan , Hongliang Gu

Propose a new cryptographic information concept. It allows : - to create absolutely algorithmic unbreakable ciphers for communication through open digital channels; - to create new code-breaking methods. They will be the most efficient…

Information Theory · Computer Science 2010-02-25 Vadim Nedzvetski

Kernel matrices appear in machine learning and non-parametric statistics. Given $N$ points in $d$ dimensions and a kernel function that requires $\mathcal{O}(d)$ work to evaluate, we present an $\mathcal{O}(dN\log N)$-work algorithm for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-01-11 Chenhan D. Yu , William B. March , George Biros

A fully homomorphic encryption system hides data from unauthorized parties, while still allowing them to perform computations on the encrypted data. Aside from the straightforward benefit of allowing users to delegate computations to a more…

We propose a public key encryption cryptosystem based on solutions of linear equation systems with predefinition of input parameters through shared secret computation for factorizable substitutions. The existence of multiple equivalent…

Cryptography and Security · Computer Science 2025-07-14 Gennady Khalimov , Yevgen Kotukh

This review is aimed to evaluate the importance of Symmetric Key Cryptography for Security in Distributed Systems. Businesses around the world as well as research and other such areas rely heavily on distributed systems these days. Hence,…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-03-05 Ramesh Babu , George Abraham , Kiransinh Borasia

Distributed network optimization has been studied for well over a decade. However, we still do not have a good idea of how to design schemes that can simultaneously provide good performance across the dimensions of utility optimality,…

Networking and Internet Architecture · Computer Science 2017-07-19 Sinong Wang , Ness Shroff

Integer programming (IP) is an NP-hard combinatorial optimization problem that is widely used to represent a diverse set of real-world problems spanning multiple fields, such as finance, engineering, logistics, and operations research. It…

Quantum Physics · Physics 2025-08-20 Kapil Goswami , Peter Schmelcher , Rick Mukherjee

The protection of confidential image data from unauthorized access is an important area of research in network communication. This paper presents a high-level security encryption scheme for gray scale images. The gray level image is first…

Multimedia · Computer Science 2012-03-12 G. Sudheer , B. V. S. Renuka Devi

The Internet of Things (IoT) expansion has brought a new era of connected devices, including wearable devices like smartwatches and medical monitors, that are becoming integral parts of our daily lives. These devices not only offer…

Cryptography and Security · Computer Science 2024-09-04 Haobo Yang
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