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Related papers: A Number-Theoretic Error-Correcting Code

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Existing error correction mechanisms in lattice-based public key encryption (PKE) rely on either naive modulation or its concatenation with error correction codes (ECC). This paper shows that lattice coding, as a joint ECC and modulation…

Information Theory · Computer Science 2023-05-23 Shanxiang Lyu , Ling Liu , Cong Ling , Junzuo Lai , Hao Chen

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 most error correction coding (ECC) frameworks, the typical error metric is the bit error rate (BER) which measures the number of bit errors. For this metric, the positions of the bits are not relevant to the decoding, and in many noise…

Signal Processing · Electrical Eng. & Systems 2021-10-11 Chai Wah Wu

A List Viterbi detector produces a rank ordered list of the N globally best candidates in a trellis search. A List Viterbi detector structure is proposed that incorporates the noise prediction with periodic state-metric updates based on…

Information Theory · Computer Science 2013-07-24 Suayb. S. Arslan , Jaewook Lee , Turguy Goker

Error correction code (ECC) is an integral part of the physical communication layer, ensuring reliable data transfer over noisy channels. Recently, neural decoders have demonstrated their advantage over classical decoding techniques.…

Information Theory · Computer Science 2022-09-28 Yoni Choukroun , Lior Wolf

Inefficient data transfer between computation and memory inspired emerging processing-in-memory (PIM) technologies. Many PIM solutions enable storage and processing using memristors in a crossbar-array structure, with techniques such as…

Hardware Architecture · Computer Science 2021-05-11 Orian Leitersdorf , Ben Perach , Ronny Ronen , Shahar Kvatinsky

Synthetic DNA can in principle be used for the archival storage of arbitrary data. Because errors are introduced during DNA synthesis, storage, and sequencing, an error-correcting code (ECC) is necessary for error-free recovery of the data.…

Quantitative Methods · Quantitative Biology 2018-12-05 William H. Press , John A. Hawkins

Entanglement-assisted classical communication (EACC) aims to enhance communication systems using entanglement as an additional resource. However, there is a scarcity of explicit protocols designed for finite transmission scenarios, which…

Quantum Physics · Physics 2025-02-04 Tushita Prasad , Markus Grassl

Although existing neural network approaches have achieved great success on Chinese spelling correction, there is still room to improve. The model is required to avoid over-correction and to distinguish a correct token from its phonological…

Computation and Language · Computer Science 2023-03-21 Rui Sun , Xiuyu Wu , Yunfang Wu

Code-based cryptography is an interesting alternative to classic number-theory PKC since it is conjectured to be secure against quantum computer attacks. Many families of codes have been proposed for these cryptosystems, one of the main…

Information Theory · Computer Science 2012-05-17 Irene Márquez-Corbella , Ruud Pellikaan

Computational storage, known as a solution to significantly reduce the latency by moving data-processing down to the data storage, has received wide attention because of its potential to accelerate data-driven devices at the edge. To meet…

Information Theory · Computer Science 2021-03-23 Siyi Yang , Ahmed Hareedy , Robert Calderbank , Lara Dolecek

Error Detection and Correction Codes (ECCs) are often used in digital designs to protect data integrity. Especially in safety-critical systems such as automotive electronics, ECCs are widely used and the verification of such complex logic…

Artificial Intelligence · Computer Science 2024-04-30 Aman Kumar

New bounds on classification error rates for the error-correcting output code (ECOC) approach in machine learning are presented. These bounds have exponential decay complexity with respect to codeword length and theoretically validate the…

Machine Learning · Computer Science 2021-09-21 Hieu D. Nguyen , Mohammed Sarosh Khan , Nicholas Kaegi , Shen-Shyang Ho , Jonathan Moore , Logan Borys , Lucas Lavalva

Motivated by the need to communicate short control messages in 5G and beyond, this paper carefully designs codes for cyclic redundancy check (CRC)-aided list decoding of tail-biting convolutional codes (TBCCs) and polar codes. Both codes…

Information Theory · Computer Science 2023-02-16 Jacob King , Hanwen Yao , William Ryan , Richard D. Wesel

Reliability is an important requirement for both communication and storage systems. Due to continuous scale down of technology multiple adjacent bits error probability increases. The data may be corrupted due soft errors. Error correction…

Hardware Architecture · Computer Science 2020-02-19 Sayan Tripathi , Jhilam Jana , Jaydeb Bhaumik

Spin-Transfer Torque Magnetic RAM} (STT-MRAM) is a promising alternative for SRAMs in on-chip cache memories. Besides all its advantages, high error rate in STT-MRAM is a major limiting factor for on-chip cache memories. In this paper, we…

Hardware Architecture · Computer Science 2026-01-05 Elham Cheshmikhani , Hamed Farbeh , Hossein Asadi

The coding matrix design plays a fundamental role in the prediction performance of the error correcting output codes (ECOC)-based multi-class task. {In many-class classification problems, e.g., fine-grained categorization, it is difficult…

Machine Learning · Computer Science 2016-03-21 Joey Tianyi Zhou , Ivor W. Tsang , Shen-Shyang Ho , Klaus-Robert Muller

Recent progress in quantum cryptography and quantum computers has given hope to their imminent practical realization. An essential element at the heart of the application of these quantum systems is a quantum error correction scheme. We…

Quantum Physics · Physics 2007-05-23 I. L. Chuang , R. Laflamme

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

Entanglement-assisted quantum error correcting codes (EAQECCs) are a simple and fundamental class of codes. They allow for the construction of quantum codes from classical codes by relaxing the duality condition and using pre-shared…

Information Theory · Computer Science 2016-06-02 Kenza Guenda , Somphong Jitman , T. Aaron Gulliver