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Related papers: Secret Sharing for n-Colorable Graphs with Applica…

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The coming quantum computation is forcing us to reexamine the cryptosystems people use. We are applying graph colorings of topological coding to modern information security and future cryptography against supercomputer and quantum computer…

Information Theory · Computer Science 2022-07-08 Bing Yao , Xiaohui Zhang , Hui Sun , Jing Su , Fei Ma , Hongyu Wang

A planar graph can be embedded in a piecewise linear manifold, and the lattice on each linear piece can be colored with 3-coloring. If a planar graph can be colored with multiple 3-coloring, i.e. coloring the graph in pieces with different…

Combinatorics · Mathematics 2023-03-10 Shaoqing Li

Privacy and interpretability are two important ingredients for achieving trustworthy machine learning. We study the interplay of these two aspects in graph machine learning through graph reconstruction attacks. The goal of the adversary…

Machine Learning · Computer Science 2023-11-03 Iyiola E. Olatunji , Mandeep Rathee , Thorben Funke , Megha Khosla

The main goal of this work is to propose the design of secret sharing schemes based on hard-on-average problems. It includes the description of a new multiparty protocol whose main application is key management in networks. Its…

Cryptography and Security · Computer Science 2015-03-17 P. Caballero-Gil , C. Hernández-Goya

Graph coloring problems are a central topic of study in the theory of algorithms. We study the problem of partially coloring partially colorable graphs. For $\alpha \leq 1$ and $k \in \mathbb{Z}^+$, we say that a graph $G=(V,E)$ is…

Data Structures and Algorithms · Computer Science 2019-09-02 Suprovat Ghoshal , Anand Louis , Rahul Raychaudhury

A growing body of research leverages social network based trust relationships to improve the functionality of the system. However, these systems expose users' trust relationships, which is considered sensitive information in today's…

Cryptography and Security · Computer Science 2012-08-31 Prateek Mittal , Charalampos Papamanthou , Dawn Song

This note proposes a method of space efficient secret sharing in which k secrets are mapped into n shares (n>=k) of the same size. Since, n can be chosen to be equal to k, the method is space efficient. This method may be compared with…

Cryptography and Security · Computer Science 2010-01-11 Abhishek Parakh , Subhash Kak

Distributed storage plays an essential role in realizing robust and secure data storage in a network over long periods of time. A distributed storage system consists of a data owner machine, multiple storage servers and channels to link…

Quantum Physics · Physics 2016-07-05 Mikio Fujiwara , Atsushi Waseda , Ryo Nojima , Shiho Moriai , Wakaha Ogata , Masahide Sasaki

Two different kinds of synchronization have been applied to cryptography: Synchronization of chaotic maps by one common external signal and synchronization of neural networks by mutual learning. By combining these two mechanisms, where the…

Statistical Mechanics · Physics 2009-11-10 Rachel Mislovaty , Einat Klein , Ido Kanter , Wolfgang Kinzel

Secret sharing is a multiparty cryptographic task in which some secret information is splitted into several pieces which are distributed among the participants such that only an authorized set of participants can reconstruct the original…

Quantum Physics · Physics 2009-11-13 S. Gaertner , C. Kurtsiefer , M. Bourennane , H. Weinfurter

The key-agreement problem (finding a private key to use for secret messages, otherwise referred to as the public-key distribution problem), was introduced by Diffie and Hellman in 1976. An approach to structuring key-agreement protocols via…

Combinatorics · Mathematics 2007-05-23 Marc Zucker

Can we use machine learning to compress graph data? The absence of ordering in graphs poses a significant challenge to conventional compression algorithms, limiting their attainable gains as well as their ability to discover relevant…

Machine Learning · Computer Science 2023-09-26 Giorgos Bouritsas , Andreas Loukas , Nikolaos Karalias , Michael M. Bronstein

A computational secret-sharing scheme is a method that enables a dealer, that has a secret, to distribute this secret among a set of parties such that a "qualified" subset of parties can efficiently reconstruct the secret while any…

Cryptography and Security · Computer Science 2015-06-02 Ilan Komargodski , Moni Naor , Eylon Yogev

Secret sharing was proposed primarily in 1979 to solve the problem of key distribution. In recent decades, researchers have proposed many improvement schemes. Among all these schemes, the verifiable multi-secret sharing (VMSS) schemes are…

Cryptography and Security · Computer Science 2020-11-18 Jing Yang , Fang-Wei Fu

Exchange of secret keys over public channels based on neural synchronization using a variety of learning rules offer an appealing alternative to number theory based cryptography algorithms. Though several forms of attacks are possible on…

Cryptography and Security · Computer Science 2015-02-19 Sandip Chakraborty , Jiban Dalal , Bikramjit Sarkar , Debaprasad Mukherjee

Secret sharing schemes create an effective method to safeguard a secret by dividing it among several participants. By using hash functions and the herding hashes technique, we first set up a (t+1, n) threshold scheme which is perfect and…

Cryptography and Security · Computer Science 2011-11-08 Chi Sing Chum , Xiaowen Zhang

Public-key cryptosystems are suggested based on invariants of groups. We give also an overview of the known cryptosystems which involve groups.

Cryptography and Security · Computer Science 2007-05-23 D. Grigoriev

Currently, most of the online social networks (OSN) keep their data secret and in centralized manner. Researchers are allowed to crawl the underlying social graphs (and data) but with limited rates, leading to only partial views of the true…

Social and Information Networks · Computer Science 2016-09-07 Hiep H. Nguyen , Abdessamad Imine , Michael Rusinowitch

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

A {k,n}-threshold scheme based on two-dimensional memory cellular automata is proposed to share images in a secret way. This method allows to encode an image into n shared images so that only qualified subsets of k or more shares can…

Cryptography and Security · Computer Science 2007-05-23 Gonzalo Alvarez , Luis Hernandez , Angel Martin
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