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Trapped ions are one of the most promising platforms for quantum computing due to the longest qubit coherence times and the highest gate fidelities. However, scaling the number of ions (qubits) in a linear Coulomb crystal is the key…

Lattice-based cryptography relies on generating random bases which are difficult to fully reduce. Given a lattice basis (such as the private basis for a cryptosystem), all other bases are related by multiplication by matrices in…

Cryptography and Security · Computer Science 2021-05-20 Tamar Lichter Blanks , Stephen D. Miller

This work examines the concept of S-permutation matrices, namely $n^2 \times n^2$ permutation matrices containing a single 1 in each canonical $n \times n$ subsquare (block). The article suggests a formula for counting mutually disjoint…

Combinatorics · Mathematics 2022-12-13 Krasimir Yordzhev

Much scientific work has focused on the generation of random numbers as well as the distribution of said random numbers for use as a cryptographic key. However, emphasis is often placed on one of the two to the exclusion of the other, but…

Classical Physics · Physics 2020-08-14 Nicholas Bornman , Andrew Forbes , Achim Kempf

Differential cryptanalysis is one of the most popular methods in attacking block ciphers. However, there still some limitations in traditional differential cryptanalysis. On the other hand, researches of quantum algorithms have made great…

Quantum Physics · Physics 2015-12-01 Hong-Wei Li , Li Yang

In this paper, we propose an efficient key management scheme by generating new public and private keys in the Blom scheme. We also focus on making this scheme dynamic by randomly changing the secret key that is generated by the base station…

Cryptography and Security · Computer Science 2014-10-28 Divya Harika Nagabhyrava

The Independence of Clones (IoC) criterion measures a voting rule's robustness to strategic nomination. Prior literature has established empirically that individuals may still submit costly, distortionary misreports even in strategy-proof…

Computer Science and Game Theory · Computer Science 2025-02-25 Ratip Emin Berker , Sílvia Casacuberta , Christopher Ong , Isaac Robinson

An involution on a semigroup S (or any algebra with an underlying associative binary operation) is a function f:S->S that satisfies f(xy)=f(y)f(x) and f(f(x))=x for all x,y in S. The set I(S) of all such involutions on S generates a…

Group Theory · Mathematics 2015-09-16 James East , Thomas E. Nordahl

This paper presents a symmetric stream cipher that utilizes the dynamic properties of random cubic mappings in the complex plane to generate pseudo-random key streams. The system is based on the iterations of the random cubic polynomial…

Cryptography and Security · Computer Science 2026-03-24 Pouya Mehdipour , Alexandre Miranda Alves , Gerardo Honorato , Mostafa Salarinoghabi

It is designed a new quantum cryptography protocol that generates various secret and secure keys of the same size of the transmitted qubits, implying zero information losses between the interlocutors. Besides, generates key swapping between…

Quantum Physics · Physics 2013-11-13 Eduin H Serna

Cancer is a genetic disorder whose clonal evolution can be monitored by tracking noisy genome-wide copy number variants. We introduce the Copy Number Stochastic Block Model (CN-SBM), a probabilistic framework that jointly clusters samples…

In a distributed space-time coding scheme, based on the relay channel model, the relay nodes co-operate to linearly process the transmitted signal from the source and forward them to the destination such that the signal at the destination…

Information Theory · Computer Science 2008-06-20 J. Harshan , B. Sundar Rajan

Polycyclic groups are natural generalizations of cyclic groups but with more complicated algorithmic properties. They are finitely presented and the word, conjugacy, and isomorphism decision problems are all solvable in these groups.…

Cryptography and Security · Computer Science 2016-10-25 Jonathan Gryak , Delaram Kahrobaei

Most of the information is in the form of electronic data. A lot of electronic data exchanged takes place through computer applications. Therefore information exchange through these applications needs to be secure. Different cryptographic…

Cryptography and Security · Computer Science 2014-06-25 Ranjeet Masram , Vivek Shahare , Jibi Abraham , Rajni Moona , Pradeep Sinha , Gaur Sunder , Prashant Bendale , Sayali Pophalkar

In this note, we present a construction of new nonbinary quantum codes with good parameters. These codes are obtained by applying the Calderbank-Shor-Steane (CSS) construction. In order to do this, we show the existence of (classical)…

Quantum Physics · Physics 2017-05-24 Giuliano G. La Guardia

Given a set $\Pi$ of permutation patterns of length at most $k$, we present an algorithm for building $S_{\le n}(\Pi)$, the set of permutations of length at most $n$ avoiding the patterns in $\Pi$, in time $O(|S_{\le n - 1}(\Pi)| \cdot k +…

Discrete Mathematics · Computer Science 2017-03-20 William Kuszmaul

Primality generation is the cornerstone of several essential cryptographic systems. The problem has been a subject of deep investigations, but there is still a substantial room for improvements. Typically, the algorithms used have two parts…

Cryptography and Security · Computer Science 2022-03-07 Vassil Dimitrov , Luigi Vigneri , Vidal Attias

This note reports on the number of s-partitions of a natural number n. In an s-partition each cell has the form $2^k-1$ for some integer k. Such partitions have potential applications in cryptography, specifically in distributed…

Combinatorics · Mathematics 2007-05-23 William M. Y. Goh , Pawel Hitczenko , Ali Shokoufandeh

Associative division algebras are a rich source of fully diverse space-time block codes (STBCs). In this paper the systematic construction of fully diverse STBCs from nonassociative algebras is discussed. As examples, families of fully…

Information Theory · Computer Science 2012-02-07 Susanne Pumpluen , Thomas Unger

Stringology-Based Cryptanalysis (SBC) offers a suitable and a structurally aligned approach for uncovering structural patterns in stream ciphers that traditional statistical tests may often fail to detect. Despite \texttt{EChaCha20}'s…

Cryptography and Security · Computer Science 2026-04-13 Victor Kebande