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The Extended Min-Sum (EMS) algorithm for non-binary low-density parity-check (LDPC) defined over an alphabet of size $q$ operates on truncated messages of length $q'$ to achieve a complexity of the order $q'^2$. In contrast, Walsh-Hadamard…

Information Theory · Computer Science 2014-07-22 Jossy Sayir

Distributed Arithmetic Coding (DAC) proves to be an effective implementation of Slepian-Wolf Coding (SWC), especially for short data blocks. To study the property of DAC codewords, the author has proposed the concept of DAC codeword…

Information Theory · Computer Science 2010-10-18 Yong Fang

The monotone minimal perfect hash function (MMPHF) problem is the following indexing problem. Given a set $S= \{s_1,\ldots,s_n\}$ of $n$ distinct keys from a universe $U$ of size $u$, create a data structure $DS$ that answers the following…

Data Structures and Algorithms · Computer Science 2022-07-26 Sepehr Assadi , Martin Farach-Colton , William Kuszmaul

ASIC hash engines are specifically optimized for parallel computations of cryptographic hashes and thus a natural environment for mounting brute-force attacks on hash functions. Two fundamental advantages of ASICs over general purpose…

Cryptography and Security · Computer Science 2022-07-26 Rishiraj Bhattacharyya , Avradip Mandal

In recent years, numerous incidents involving the leakage of website accounts and text passwords (referred to as passwords) have raised significant concerns regarding the potential exposure of personal information. These events underscore…

Cryptography and Security · Computer Science 2026-04-07 Abel C. H. Chen

In this work, we present the first local-decoding algorithm for expander codes. This yields a new family of constant-rate codes that can recover from a constant fraction of errors in the codeword symbols, and where any symbol of the…

Information Theory · Computer Science 2015-01-08 Brett Hemenway , Rafail Ostrovsky , Mary Wootters

A practical deep neural network's (DNN) evaluation involves thousands of multiply-and-accumulate (MAC) operations. To extend DNN's superior inference capabilities to energy constrained devices, architectures and circuits that minimize…

Emerging Technologies · Computer Science 2020-08-04 Aditya Shukla

A Monotone Minimal Perfect Hash Function (MMPHF) constructed on a set S of keys is a function that maps each key in S to its rank. On keys not in S, the function returns an arbitrary value. Applications range from databases, search engines,…

Data Structures and Algorithms · Computer Science 2023-08-31 Paolo Ferragina , Hans-Peter Lehmann , Peter Sanders , Giorgio Vinciguerra

Distributed Hash Tables (DHT) are a common architecture for decentralized applications and, therefore, would be suited for privacy-aware applications. However, currently existing DHTs allow every peer to access any index. To build…

Cryptography and Security · Computer Science 2017-09-19 Olga Kieselmann , Arno Wacker

The massiveness of devices in crowded Machine-to-Machine (M2M) communications brings new challenges to existing random-access (RA) schemes, such as heavy signaling overhead and severe access collisions. In order to reduce the signaling…

Information Theory · Computer Science 2019-10-09 Zhaoji Zhang , Ying Li , Lei Liu , Wei Hou

This paper presents \textit{OFHE}, an electro-optical accelerator designed to process Discretized TFHE (DTFHE) operations, which encrypt multi-bit messages and support homomorphic multiplications, lookup table operations and full-domain…

Cryptography and Security · Computer Science 2024-05-21 Mengxin Zheng , Cheng Chu , Qian Lou , Nathan Youngblood , Mo Li , Sajjad Moazeni , Lei Jiang

Expander decompositions form the basis of one of the most flexible paradigms for close-to-linear-time graph algorithms. Length-constrained expander decompositions generalize this paradigm to better work for problems with lengths, distances…

Data Structures and Algorithms · Computer Science 2024-05-16 Bernhard Haeupler , D Ellis Hershkowitz , Zihan Tan

Cryptanalysis result of key expansion algorithms in AES and SM4 revealed that, (1) there exist weaknesses in their S-Boxes, and (2) the round key expansion algorithm is reversible, i.e., the initial key can be recovered from any round key,…

Cryptography and Security · Computer Science 2021-12-07 Hongjun Liu , Xingyuan Wang

We present a 625 MHz clocked coherent one-way quantum key distribution (QKD) system which continuously distributes secret keys over an optical fibre link. To support high secret key rates, we implemented a fast hardware key distillation…

We construct a new family of explicit codes that are list decodable to capacity and achieve an optimal list size of $O(\frac{1}{\epsilon})$. In contrast to existing explicit constructions of codes achieving list decoding capacity, our…

Information Theory · Computer Science 2025-02-12 Fernando Granha Jeronimo , Tushant Mittal , Shashank Srivastava , Madhur Tulsiani

We study the security of a specific authentication procedure of interest in the context of Quantum Key Distribution (QKD). It works as follows: use a secret but fixed Strongly Universal$_2$ (SU$_2$) hash function and encrypt the output tag…

Quantum Physics · Physics 2011-09-26 Aysajan Abidin , Jan-Åke Larsson

Calculating the diameter of an undirected graph requires quadratic running time under the Strong Exponential Time Hypothesis and this barrier works even against any approximation better than 3/2. For planar graphs with positive edge…

Data Structures and Algorithms · Computer Science 2025-07-08 Michał Włodarczyk

A random access code (RAC), corresponding to a communication primitive with various applications in quantum information theory, is an instance of a preparation-and-measurement scenario. In this work, we consider (n,d)-RACs constituting an…

Quantum Physics · Physics 2024-12-23 Andris Ambainis , Dmitry Kravchenko , Sk Sazim , Joonwoo Bae , Ashutosh Rai

Nearest neighbors search is a fundamental problem in various research fields like machine learning, data mining and pattern recognition. Recently, hashing-based approaches, e.g., Locality Sensitive Hashing (LSH), are proved to be effective…

Information Retrieval · Computer Science 2012-05-15 Yue Lin , Deng Cai , Cheng Li

Obtaining scalable algorithms for hierarchical agglomerative clustering (HAC) is of significant interest due to the massive size of real-world datasets. At the same time, efficiently parallelizing HAC is difficult due to the seemingly…

Data Structures and Algorithms · Computer Science 2022-06-24 Laxman Dhulipala , David Eisenstat , Jakub Łącki , Vahab Mirronki , Jessica Shi