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Iterative decoders used for decoding low-density parity-check (LDPC) and moderate-density parity-check (MDPC) codes are not characterized by a deterministic decoding radius and their error rate performance is usually assessed through…

Information Theory · Computer Science 2020-02-27 Paolo Santini , Massimo Battaglioni , Marco Baldi , Franco Chiaraluce

Cyclic redundancy check (CRC) codes check if a codeword is correctly received. This paper presents an algorithm to design CRC codes that are optimized for the code-specific error behavior of a specified feedforward convolutional code. The…

Information Theory · Computer Science 2015-06-10 Chung-Yu Lou , Babak Daneshrad , Richard D. Wesel

The edge clique cover (ECC) problem -- where the goal is to find a minimum cardinality set of cliques that cover all the edges of a graph -- is a classic NP-hard problem that has received much attention from both the theoretical and…

Data Structures and Algorithms · Computer Science 2023-07-06 Anthony Hevia , Benjamin Kallus , Summer McClintic , Samantha Reisner , Darren Strash , Johnathan Wilson

Memory leaks are prevalent in various real-world software projects, thereby leading to serious attacks like denial-of-service. Though prior methods for detecting memory leaks made significant advance, they often suffer from low accuracy and…

Cryptography and Security · Computer Science 2025-04-08 Hongliang Liang , Luming Yin , Guohao Wu , Yuxiang Li , Qiuping Yi , Lei Wang

Analog error-correcting codes (Analog ECCs) for approximate vector-matrix multiplication have been extensively studied as means to achieve fault-tolerant in-memory computation. The theoretical foundations for such coding schemes,…

Information Theory · Computer Science 2026-05-12 Zhengyi Jiang , Wenhao Liu , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

Rate-compatible error-correcting codes (ECCs), which consist of a set of extended codes, are of practical interest in both wireless communications and data storage. In this work, we first study the lower bounds for rate-compatible ECCs,…

Information Theory · Computer Science 2017-05-22 Pengfei Huang , Yi Liu , Xiaojie Zhang , Paul H. Siegel , Erich F. Haratsch

Many commercially available memory chips are fabricated worldwide in untrusted facilities. Therefore, a counterfeit memory chip can easily enter into the supply chain in different formats. Deploying these counterfeit memory chips into an…

Cryptography and Security · Computer Science 2023-05-08 B. M. S. Bahar Talukder , Farah Ferdaus , Md Tauhidur Rahman

Elliptic curve cryptography (ECC) is widely used in security applications such as public key cryptography (PKC) and zero-knowledge proofs (ZKP). ECC is composed of modular arithmetic, where modular multiplication takes most of the…

Hardware Architecture · Computer Science 2024-02-23 Jonathan Ku , Junyao Zhang , Haoxuan Shan , Saichand Samudrala , Jiawen Wu , Qilin Zheng , Ziru Li , JV Rajendran , Yiran Chen

Reading and writing memory are, besides computation, the most common operations a processor performs. The correctness of these operations is therefore essential for the proper execution of any program. However, as soon as fault attacks are…

Cryptography and Security · Computer Science 2018-09-25 Robert Schilling , Mario Werner , Pascal Nasahl , Stefan Mangard

Fault tolerance overhead of high performance computing (HPC) applications is becoming critical to the efficient utilization of HPC systems at large scale. HPC applications typically tolerate fail-stop failures by checkpointing. Another…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-06-22 Erlin Yao , Mingyu Chen , Rui Wang , Wenli Zhang , Guangming Tan

Low-density parity-check (LDPC) codes are specified by graphs, and are the error correction technique of choice in many communications and data storage contexts. Message passing decoders diffuse information carried by parity bits into the…

Information Theory · Computer Science 2023-05-02 Beyza Dabak , Ece Tiryaki , Robert Calderbank , Ahmed Hareedy

Error correction is of utmost necessity for large-scale quantum computing. Quantum error correcting codes can be degenerate, if more than one type of error can map the input state to the same error state. In this paper, we propose a 6-qubit…

Quantum Physics · Physics 2019-08-23 Ritajit Majumdar , Susmita Sur-Kolay

Recently, we introduced a new class of finite alphabet iterative decoders (FAIDs) for low-density parity-check (LDPC) codes. These decoders are capable of surpassing belief propagation in the error floor region on the Binary Symmetric…

Information Theory · Computer Science 2016-11-17 David Declercq , Bane Vasic , Shiva Kumar Planjery , Erbao Li

Write disturbance error (WDE) appears as a serious reliability problem preventing phase-change memory (PCM) from general commercialization, and therefore several studies have been proposed to mitigate WDEs. Verify-and-correction (VnC)…

Hardware Architecture · Computer Science 2022-08-10 Hyokeun Lee , Seungyong Lee , Byeongki Song , Moonsoo Kim , Seokbo Shim , Hyuk-Jae Lee , Hyun Kim

We introduce a low-overhead approach for detecting errors in arbitrary Clifford circuits on arbitrary qubit connectivities. Our method is based on the framework of spacetime codes, and is particularly suited to near-term hardware since it…

Quantum Physics · Physics 2025-04-23 Simon Martiel , Ali Javadi-Abhari

The online caching problem aims to minimize cache misses when serving a sequence of requests under a limited cache size. While naive learning-augmented caching algorithms achieve ideal $1$-consistency, they lack robustness guarantees.…

Data Structures and Algorithms · Computer Science 2025-11-17 Peng Chen , Hailiang Zhao , Jiaji Zhang , Xueyan Tang , Yixuan Wang , Shuiguang Deng

The persistent storage of big data requires advanced error correction schemes. The classical approach is to use error correcting codes (ECCs). This work studies an alternative approach, which uses the redundancy inherent in data itself for…

Information Theory · Computer Science 2019-10-17 Pulakesh Upadhyaya , Anxiao Jiang

The error pattern correcting code (EPCC) can be constructed to provide a syndrome decoding table targeting the dominant error events of an inter-symbol interference channel at the output of the Viterbi detector. For the size of the syndrome…

Information Theory · Computer Science 2010-03-31 Hakim Alhussien , Jaekyun Moon

Large-scale quantum computers will inevitably need quantum error correction (QEC) to protect information against decoherence. Given that the overhead of such error correction is often formidable, autonomous quantum error correction (AQEC)…

Quantum Physics · Physics 2024-01-11 Ziqian Li , Tanay Roy , David Rodríguez Pérez , David I. Schuster , Eliot Kapit

In this work the undetected error probability performance of the proposed in the technical specification of 5G new radio cyclic redundancy-check codes taking into consideration that they have to work for fixed interval of lengths are…

Information Theory · Computer Science 2021-04-07 Tsonka Baicheva , Peter Kazakov , Miroslav Dimitrov