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When neural networks (NeuralNets) are implemented in hardware, their weights need to be stored in memory devices. As noise accumulates in the stored weights, the NeuralNet's performance will degrade. This paper studies how to use error…

Information Theory · Computer Science 2020-01-14 Kunping Huang , Paul Siegel , Anxiao , Jiang

Erasure codes provide a storage efficient alternative to replication based redundancy in (networked) storage systems. They however entail high communication overhead for maintenance, when some of the encoded fragments are lost and need to…

Distributed, Parallel, and Cluster Computing · Computer Science 2010-11-24 Frederique Oggier , Anwitaman Datta

Post-Quantum Cryptographic (PQC) algorithms are mathematically secure and resistant to quantum attacks but can still leak sensitive information in hardware implementations due to natural faults or intentional fault injections. The intent…

Cryptography and Security · Computer Science 2025-08-06 Rourab Paul , Paresh Baidya , Krishnendu Guha

Matrix multiplication over the real field constitutes a foundational operation in the training of deep learning models, serving as a computational cornerstone for both forward and backward propagation processes. However, the presence of…

Information Theory · Computer Science 2025-08-07 Hao Shi , Zhengyi Jiang , Zhongyi Huang , Bo Bai , Gong Zhang , Hanxu Hou

The growing demand for highly reliable communication systems drives the research and development of algorithms that identify and correct errors during data transmission and storage. This need becomes even more critical in hard-to-access or…

Cryptography and Security · Computer Science 2025-04-17 Andrew Rafael Fritsch , César Augusto Missio Marcon

Spin Transfer Torque MRAMs are attractive due to their non-volatility, high density and zero leakage. However, STT-MRAMs suffer from poor reliability due to shared read and write paths. Additionally, conflicting requirements for data…

Other Computer Science · Computer Science 2016-06-20 Zoha Pajouhi , Xuanyao Fong , Anand Raghunathan , Kaushik Roy

Number Theoretic Transform (NTT) is the most essential component for polynomial multiplications used in lattice-based Post-Quantum Cryptography (PQC) algorithms such as Kyber, Dilithium, NTRU etc. However, side-channel attacks (SCA) and…

Cryptography and Security · Computer Science 2026-04-28 Rourab Paul , Krishnendu Guha , Amlan Chakrabarti

This paper investigates polynomial remainder codes with non-pairwise coprime moduli. We first consider a robust reconstruction problem for polynomials from erroneous residues when the degrees of all residue errors are assumed small, namely…

Information Theory · Computer Science 2015-01-05 Li Xiao , Xiang-Gen Xia

For a quantum error correcting code to be used in practice, it needs to be equipped with an efficient decoding algorithm, which identifies corrections given the observed syndrome of errors.Hypergraph product codes are a promising family of…

Quantum Physics · Physics 2023-11-03 Lev Stambler , Anirudh Krishna , Michael E. Beverland

We construct efficient data structures that are resilient against a constant fraction of adversarial noise. Our model requires that the decoder answers most queries correctly with high probability and for the remaining queries, the decoder…

Data Structures and Algorithms · Computer Science 2010-01-27 Victor Chen , Elena Grigorescu , Ronald de Wolf

Spin-torque transfer magnetic random access memory (STT-MRAM) is a promising emerging non-volatile memory (NVM) technology with wide applications. However, the data recovery of STT-MRAM is affected by the diversity of channel raw bit error…

Information Theory · Computer Science 2024-10-08 Xingwei Zhong , Kui Cai , Peng Kang , Guanghui Song , Bin Dai

Modern Deep Learning (DL) workloads are increasingly deployed in safety-critical domains, such as automotive systems and hyperscale data centers, where transient hardware faults pose a serious threat to system reliability. These workloads…

Hardware Architecture · Computer Science 2026-05-11 Mohammad Hasan Ahmadilivani , Marten Roots , Marco Restifo , Sven-Markus Loorits , Luca Di Mauro , Jaan Raik

High-speed long polynomial multiplication is important for applications in homomorphic encryption (HE) and lattice-based cryptosystems. This paper addresses low-latency hardware architectures for long polynomial modular multiplication using…

Hardware Architecture · Computer Science 2024-03-21 Weihang Tan , Sin-Wei Chiu , Antian Wang , Yingjie Lao , Keshab K. Parhi

Polynomial multiplication stands out as a highly demanding arithmetic process in the development of post-quantum cryptosystems. The importance of the number-theoretic transform (NTT) extends beyond post-quantum cryptosystems, proving…

Cryptography and Security · Computer Science 2024-09-20 Kasra Ahmadi , Saeed Aghapour , Mehran Mozaffari Kermani , Reza Azarderakhsh

We construct pseudorandom error-correcting codes (or simply pseudorandom codes), which are error-correcting codes with the property that any polynomial number of codewords are pseudorandom to any computationally-bounded adversary. Efficient…

Cryptography and Security · Computer Science 2024-06-19 Miranda Christ , Sam Gunn

Error-correcting codes are usually envisioned to counter errors by operating unitary corrections depending on the projective measurement results of some syndrome observables. We here propose a way to use them in a more integrated way, where…

Quantum Physics · Physics 2020-10-07 Vincent Martin , Alain Sarlette

Error correction code is a major part of the communication physical layer, ensuring the reliable transfer of data over noisy channels. Recently, neural decoders were shown to outperform classical decoding techniques. However, the existing…

Machine Learning · Computer Science 2022-03-30 Yoni Choukroun , Lior Wolf

We describe a replacement for RAID 6, based on a new linear, systematic code, which detects and corrects any combination of $E$ errors (unknown location) and $Z$ erasures (known location) provided that $Z+2E \leq 4$. We investigate some…

Information Theory · Computer Science 2018-07-09 Mohamad Moussa , Marek Rychlik

We give a fault tolerant construction for error correction and computation using two punctured quantum Reed-Muller (PQRM) codes. In particular, we consider the $[[127,1,15]]$ self-dual doubly-even code that has transversal Clifford gates…

Quantum Physics · Physics 2024-11-01 Anqi Gong , Joseph M. Renes

Generalized Reed-Solomon (RS) codes are a common choice for efficient, reliable error correction in memory and communications systems. These codes add $2t$ extra parity symbols to a block of memory, and can efficiently and reliably correct…

Information Theory · Computer Science 2024-05-28 Mike Hamburg , Eric Linstadt , Danny Moore , Thomas Vogelsang
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