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Two variations of the McEliece cryptosystem are presented. The first one is based on a relaxation of the column permutation in the classical McEliece scrambling process. This is done in such a way that the Hamming weight of the error, added…

This paper presents a novel encryption-less algorithm to enhance security in transmission of data in networks. The algorithm uses an intuitively simple idea of a "jigsaw puzzle" to break the transformed data into multiple parts where these…

Cryptography and Security · Computer Science 2010-02-25 Rangarajan Athi Vasudevan , Ajith Abraham , Sugata Sanyal

Homomorphic permutation is fundamental to privacy-preserving computations based on batch-encoding homomorphic encryption. It underpins nearly all homomorphic matrix operations and predominantly influences their complexity. Permutation…

Cryptography and Security · Computer Science 2025-11-27 Xirong Ma , Junling Fang , Chunpeng Ge , Dung Hoang Duong , Yali Jiang , Yanbin Li , Willy Susilo , Lizhen Cui

The analysis of quantum algorithms which query random, invertible permutations has been a long-standing challenge in cryptography. Many techniques which apply to random oracles fail, or are not known to generalize to this setting. As a…

Quantum Physics · Physics 2025-09-24 Joseph Carolan

In this paper we consider cryptographic applications of the arithmetic on the hyperoctahedral group. On an appropriate subgroup of the latter, we particularly propose to construct public key cryptosystems based on the discrete logarithm.…

Cryptography and Security · Computer Science 2017-06-16 Iharantsoa Vero Raharinirina

In this article, we discuss formal invariants of singularly-perturbed linear differential systems in neighborhood of turning points and give algorithms which allow their computation. The algorithms proposed are implemented in the computer…

Classical Analysis and ODEs · Mathematics 2016-12-15 Moulay A. Barkatou , Suzy S. Maddah

We consider the problem of differentially private selection. Given a finite set of candidate items and a quality score for each item, our goal is to design a differentially private mechanism that returns an item with a score that is as high…

Cryptography and Security · Computer Science 2020-10-27 Ryan McKenna , Daniel Sheldon

Warnings have been raised about the steady diminution of privacy. More and more personal information, such as that contained electronic mail, is moving to cloud computing servers where it might be machine-searched and indexed. FauxCrypt is…

Cryptography and Security · Computer Science 2018-02-14 Devlin M. Gualtieri

In card-based cryptography, a deck of physical cards is used to achieve secure computation. A shuffle, which randomly permutes a card-sequence along with some probability distribution, ensures the security of a card-based protocol. The…

Cryptography and Security · Computer Science 2023-03-22 Kazumasa Shinagawa , Kengo Miyamoto

In this paper, we present an algorithm that enumerates a certain class of signed permutations, referred to as grid signed permutation classes. In the case of permutations, the corresponding grid classes are of interest because they are…

Combinatorics · Mathematics 2023-06-02 Saúl A. Blanco , Daniel E. Skora

This paper analyzes the security of a recent cryptosystem based on the ergodicity property of chaotic maps. It is shown how to obtain the secret key using a chosen-ciphertext attack. Some other design weaknesses are also shown.

Chaotic Dynamics · Physics 2009-11-13 David Arroyo , Gonzalo Alvarez , Shujun Li , Chengqing Li , Veronica Fernandez

We consider heuristic algorithm for solving graph isomorphism problem. The algorithm based on a successive splitting of the eigenvalues of the matrices which are modifications (to positive defined) of graphs' adjacency matrices.…

General Mathematics · Mathematics 2007-05-23 R. T. Faizullin , A. V. Prolubnikov

Automated machine learning makes it easier for data scientists to develop pipelines by searching over possible choices for hyperparameters, algorithms, and even pipeline topologies. Unfortunately, the syntax for automated machine learning…

Machine Learning · Computer Science 2020-07-07 Guillaume Baudart , Martin Hirzel , Kiran Kate , Parikshit Ram , Avraham Shinnar

A cryptographic algorithm is proposed based on fully quantum mechanical keys and ciphers. Encryption and decryption are carried out via an appropriate measurement process on entangled states as governed by a quantum mechanical, asymmetrical…

Quantum Physics · Physics 2007-05-23 Guihua Zeng , Carlos Saavedra , Christoph H. Keitel

This paper presents a spatial encryption technique for secured transmission of data in networks. The algorithm is designed to break the ciphered data packets into multiple data which are to be packaged into a spatial template. A secure and…

Cryptography and Security · Computer Science 2010-04-05 Sk. Sarif Hassan , Pabitra Pal Choudhury , Sugata Sanyal

This article will describe an optical encryption technical of images which it is proposed in an analogical and digital way. The development of the technical to a digital level, it is made to implementing algorithms (routines) in MATLAB. We…

Computational Physics · Physics 2017-09-19 Leidy Marcela Giraldo , Edward Yesid Villegas

Cryptography is an art and science of secure communication. Here the sender and receiver are guaranteed the security through encryption of their data, with the help of a common key. Both the parties should agree on this key prior to…

Cryptography and Security · Computer Science 2014-07-10 Minal Lopes , Nisha Sarwade

Recently, an image scrambling encryption algorithm of pixel bit based on chaos map was proposed. Considering the algorithm as a typical binary image scrambling/permutation algorithm exerting on plaintext of size $M\times (8N)$, this paper…

Cryptography and Security · Computer Science 2016-09-22 Chengqing Li , Kwok-Tung Lo

This paper suggests a message authentication scheme, which can be efficiently used for secure digital signature creation. The algorithm used here is an adjusted union of the concepts which underlie projective geometry and group structure on…

Cryptography and Security · Computer Science 2017-08-17 Abhinav Aggarwal

The family of Information Dispersal Algorithms is applied to distributed systems for secure and reliable storage and transmission. In comparison with perfect secret sharing it achieves a significantly smaller memory overhead and better…

Cryptography and Security · Computer Science 2017-05-30 Katarzyna Kapusta , Gerard Memmi , Hassan Noura