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The cryptographic protocol based on topological knot theory,recently proposed by the authors, is improved for what concerns the efficiency of the encoding of knot diagrams and its error robustness. The standard Dowker-Thistlethwaite code,…

Mathematical Physics · Physics 2012-06-26 Annalisa Marzuoli , Giandomenico Palumbo

Let $w$ be a string of length $n$. The problem of counting factors crossing a position - Problem 64 from the textbook ``125 Problems in Text Algorithms'' [Crochemore, Leqroc, and Rytter, 2021], asks to count the number $\mathcal{C}(w,k)$…

Data Structures and Algorithms · Computer Science 2025-07-01 Haruki Umezaki , Hiroki Shibata , Dominik Köppl , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai

It is possible to interpret text as numbers (and vice versa) if one interpret letters and other characters as digits and assume that they have an inherent immutable ordering. This is demonstrated by the conventional digit set of the…

Cryptography and Security · Computer Science 2023-06-06 Armin Hoenen

The rapid progress of physical implementation of quantum computers paved the way for the design of tools to help users write quantum programs for any given quantum device. The physical constraints inherent in current NISQ architectures…

Emerging Technologies · Computer Science 2020-09-08 Chi Zhang , Yanhao Chen , Yuwei Jin , Wonsun Ahn , Youtao Zhang , Eddy Z. Zhang

N-fold integer programming is a fundamental problem with a variety of natural applications in operations research and statistics. Moreover, it is universal and provides a new, variable-dimension, parametrization of all of integer…

Optimization and Control · Mathematics 2014-05-08 Raymond Hemmecke , Shmuel Onn , Lyubov Romanchuk

In this work, a new fast-decodable space-time block code (STBC) is proposed. The code is full-rate and full-diversity for 4x2 multiple-input multiple-output (MIMO) transmission. Due to the unique structure of the codeword, the proposed code…

Information Theory · Computer Science 2014-01-08 Ming Liu , Maryline Hélard , Jean-François Hélard , Matthieu Crussière

Recently spherical codes were introduced as potentially more capable ensembles for quantum key distribution. Here we develop specific key creation protocols for the two qubit-based spherical codes, the trine and tetrahedron, and analyze…

Quantum Physics · Physics 2007-05-23 Joseph M. Renes

We show how to answer spatial multiple-set intersection queries in O(n(log w)/w + kt) expected time, where n is the total size of the t sets involved in the query, w is the number of bits in a memory word, k is the output size, and c is any…

Data Structures and Algorithms · Computer Science 2017-08-31 Michael T. Goodrich

We investigate practical short-blocklength coding for the semi-deterministic binary erasure wiretap channel (BE-WTC), where the main channel to the legitimate receiver is noiseless, and the eavesdropper's channel is a binary erasure channel…

Information Theory · Computer Science 2024-09-04 Hsuan-Yin Lin , Yi-Sheng Su , Mao-Ching Chiu

Blockchain systems are designed to produce blocks at a constant average rate. The most popular systems currently employ a Proof of Work (PoW) algorithm as a means of creating these blocks. Bitcoin produces, on average, one block every 10…

Cryptography and Security · Computer Science 2019-08-15 George Bissias , Brian Neil Levine

Efficient scalar multiplication in Abelian groups (which is an important operation in public key cryptography) can be performed using digital expansions. Apart from rational integer bases (double-and-add algorithm), imaginary quadratic…

Number Theory · Mathematics 2015-04-13 Clemens Heuberger , Daniel Krenn

The braid group is an important non commutative group, at the same time, it is an important tool in quantum field theory with better topological structure, and often used as a research carrier for anti-quantum cryptographic algorithms. This…

Cryptography and Security · Computer Science 2019-10-11 Xiaoming Chen , Weiqing You , Meng Jiao , Kejun Zhang , Shuang Qing , Zhiqiang Wang

ASBK (named after the authors' initials) is a recent blockchain protocol tackling data availability attacks against light nodes, employing two-dimensional Reed-Solomon codes to encode the list of transactions and a random sampling phase…

Information Theory · Computer Science 2022-01-21 Paolo Santini , Giulia Rafaiani , Massimo Battaglioni , Franco Chiaraluce , Marco Baldi

In this paper, we have proposed a public key cryptography using recursive block matrices involving generalized Fibonacci numbers over a finite field Fp. For this, we define multinacci block matrices, a type of upper triangular matrix…

Cryptography and Security · Computer Science 2022-04-20 Munesh Kumari , Jagmohan Tanti

Spiking neural networks offer a promising path toward energy-efficient, brain-like associative memory. This paper introduces Word2Spike, a novel rate coding mechanism that combines continuous word embeddings and neuromorphic architectures.…

Neural and Evolutionary Computing · Computer Science 2025-09-10 Archit Kalra , Midhun Sadanand

Given an arbitrary $2^w \times 2^w$ unitary matrix $U$, a powerful matrix decomposition can be applied, leading to four different syntheses of a $w$-qubit quantum circuit performing the unitary transformation. The demonstration is based on…

Quantum Physics · Physics 2016-11-18 Alexis De Vos , Stijn De Baerdemacker

Here we introduce an improved approach to Variational Quantum Attack Algorithms (VQAA) on crytographic protocols. Our methods provide robust quantum attacks to well-known cryptographic algorithms, more efficiently and with remarkably fewer…

Quantum Physics · Physics 2025-03-17 Borja Aizpurua , Pablo Bermejo , Josu Etxezarreta Martinez , Roman Orus

Block codes are considered for improving the reliability of messages stored in a computer memory with both stuck-at defects and random errors. It is assumed that the side information about the state of the defects is available to the…

Information Theory · Computer Science 2026-05-22 Ivana Djurdjevic , Robert Mateescu , Cyril Guyot

We present a multi-word atomic (1,N) register for multi-core machines exploiting Read-Modify-Write (RMW) instructions to coordinate the writer and the readers in a wait-free manner. Our proposal, called Anonymous Readers Counting (ARC),…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-07-25 Mauro Ianni , Alessandro Pellegrini , Francesco Quaglia

We revisit the binary adversarial wiretap channel (AWTC) of type II in which an active adversary can read a fraction $r$ and flip a fraction $p$ of codeword bits. The semantic-secrecy capacity of the AWTC II is partially known, where the…

Information Theory · Computer Science 2023-07-11 Eric Ruzomberka , Homa Nikbakht , Christopher G. Brinton , David J. Love , H. Vincent Poor
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