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This note describes a technique for generating large non-singular matrices with blocks of full rank. Our motivation to construct such matrices arises in the white-box implementation of cryptographic algorithms with S-boxes.

Rings and Algebras · Mathematics 2007-05-23 James Xiao , Yongxin Zhou

Model selection is a major challenge in non-parametric clustering. There is no universally admitted way to evaluate clustering results for the obvious reason that no ground truth is available. The difficulty to find a universal evaluation…

Machine Learning · Computer Science 2023-05-18 Alex Mourer , Florent Forest , Mustapha Lebbah , Hanane Azzag , Jérôme Lacaille

In this paper, we propose a session based bit level symmetric key cryptographic technique and it is termed as Spiral Matrix Based Bit Orientation Technique (SMBBOT). SMBBOT consider the input plain text as binary bit stream. During…

Cryptography and Security · Computer Science 2013-05-06 Manas Paul , Jyotsna Kumar Mandal

We investigate the affine equivalence (AE) problem of S-boxes. Given two S-boxes denoted as $S_1$ and $S_2$, we aim to seek two invertible AE transformations $A,B$ such that $S_1\circ A = B\circ S_2$ holds. Due to important applications in…

Cryptography and Security · Computer Science 2024-11-20 Xincheng Hu , Xiao Zeng , Zhaoqiang Liu , Guowu Yang

With the extraordinary maturity of data exchange in network environments and increasing the attackers capabilities, information security has become the most important process for data storage and communication. In order to provide such…

Cryptography and Security · Computer Science 2015-04-15 Omer K. Jasim Mohammad , Safia Abbas , El-Sayed M. El-Horbaty , Abdel-Badeeh M. Salem

Unique-Cause Modified Condition/Decision Coverage (MC/DC) is widely required in safety-critical verification. A recent deterministic algorithm, Robin's Rule, constructs the theoretical minimum of N+1 test cases for Singular Boolean…

Software Engineering · Computer Science 2026-02-10 Robin Lee , Youngho Nam

This paper introduces a compact and secure 16-bit substitution box (S-box) designed over the composite field $\F_{(((2^2)^2)^2)^2}$, optimized for both hardware efficiency and cryptographic robustness. The proposed S-box decomposes…

Cryptography and Security · Computer Science 2025-07-03 Bahram Rashidi , Behrooz Khadem

A pseudorandom code is a keyed error-correction scheme with the property that any polynomial number of encodings appear random to any computationally bounded adversary. We show that the pseudorandomness of any code tolerating a constant…

Cryptography and Security · Computer Science 2025-10-01 Sanjam Garg , Sam Gunn , Mingyuan Wang

We describe a version of an algorithm for evolving self-gravitating collections of particles that should be nearly ideal for parallel architectures. Our method is derived from the ``self-consistent field'' (SCF) approach suggested…

Astrophysics · Physics 2016-08-30 Lars Hernquist , Steinn Sigurdsson , Greg L. Bryan

Deterministic complex networks that use iterative generation algorithms have been found to more closely mirror properties found in real world networks than the traditional uniform random graph models. In this paper we introduce a new,…

Combinatorics · Mathematics 2022-09-05 Erin Meger , Abigail Raz

Several efforts have been seen claiming the lightweight block ciphers as a necessarily suitable substitute in securing the Internet of Things. Currently, it has been able to envisage as a pervasive frame of reference almost all across the…

Cryptography and Security · Computer Science 2021-11-23 Ziaur Rahman , Xun Yi , Ibrahim Khalil , Mousumi Sumi

Recent advances in Bayesian models for random partitions have led to the formulation and exploration of Exchangeable Sequences of Clusters (ESC) models. Under ESC models, it is the cluster sizes that are exchangeable, rather than the…

Statistics Theory · Mathematics 2022-09-08 Keith Levin , Brenda Betancourt

We describe a framework for constructing an efficient non-interactive key exchange (NIKE) protocol for n parties for any n >= 2. Our approach is based on the problem of computing isogenies between isogenous elliptic curves, which is…

Cryptography and Security · Computer Science 2018-09-03 Dan Boneh , Darren Glass , Daniel Krashen , Kristin Lauter , Shahed Sharif , Alice Silverberg , Mehdi Tibouchi , Mark Zhandry

Evidence of signatures associated with cryptographic modes of operation is established. Motivated by some analogies between cryptographic and dynamical systems, in particular with chaos theory, we propose an algorithm based on Lyapunov…

Cryptography and Security · Computer Science 2015-04-13 Jeaneth Machicao , Jan M. Baetens , Anderson G. Marco , Bernard De Baets , Odemir M. Bruno

Statistical node clustering in discrete time dynamic networks is an emerging field that raises many challenges. Here, we explore statistical properties and frequentist inference in a model that combines a stochastic block model (SBM) for…

Methodology · Statistics 2016-06-23 Catherine Matias , Vincent Miele

Hashing methods aim to learn a set of hash functions which map the original features to compact binary codes with similarity preserving in the Hamming space. Hashing has proven a valuable tool for large-scale information retrieval. We…

Machine Learning · Computer Science 2016-02-23 Guosheng Lin , Fayao Liu , Chunhua Shen , Jianxin Wu , Heng Tao Shen

Successful cross-language clone detection could enable researchers and developers to create robust language migration tools, facilitate learning additional programming languages once one is mastered, and promote reuse of code snippets over…

Software Engineering · Computer Science 2020-02-11 George Mathew , Chris Parnin , Kathryn T Stolee

An encryption technique is widely used to keep data confidential. Most of the block symmetric algorithms use substitution functions. Often this functions use so called S-BOX matrix. In this paper author presents one software tool for…

Cryptography and Security · Computer Science 2010-09-14 Nikolai Stoianov

Unsupervised hashing methods typically aim to preserve the similarity between data points in a feature space by mapping them to binary hash codes. However, these methods often overlook the fact that the similarity between data points in the…

Computer Vision and Pattern Recognition · Computer Science 2023-09-01 Kam Woh Ng , Xiatian Zhu , Jiun Tian Hoe , Chee Seng Chan , Tianyu Zhang , Yi-Zhe Song , Tao Xiang

Differential cryptanalysis famously uses statistical biases in the propagation of differences in a block cipher to attack the cipher. In this paper, we investigate the existence of more general statistical biases in the differences. To this…

Cryptography and Security · Computer Science 2022-08-09 Daniele Bartoli , Lukas Kölsch , Giacomo Micheli