A Foundation Model for Error Correction Codes

error-correcting codes - Benjamin Fuller - University of Connecticut

Code offset in the exponent is a group encoding of the code offset construction (Juels and Wattenberg, CCS 1999) that stores the value e in a one-time pad which ...

Error-correcting codes - (Lower Division Math Foundations) - Fiveable

Error-correcting codes are methods used to detect and correct errors that may occur during the transmission or storage of data. These codes add redundancy ...

[PDF] Deep Quantum Error Correction - Semantic Scholar API

... codes is extremely difficult, strengthening the foundation of quantum code-based cryptography. ... error models and error correcting codes. Expand. 80 Citations.

Error correction model - Wikipedia

An error correction model (ECM) belongs to a category of multiple time series models most commonly used for data where the underlying variables have a ...

Quantum Error Correction Using Low-Density Parity-Check Codes ...

In the first part of this thesis, we focus on quantum low-density parity-check codes, which are a promising approach to reducing the spacetime overhead ...

Improving error-correcting capability in DNA digital storage via soft ...

Error-correcting codes (ECCs) employed in the state-of-the-art DNA digital storage (DDS) systems suffer from a trade-off between error-correcting capability and ...

Research and Application of Several Error Correction Codes in ...

Error correction code is an important part of contemporary communication engineering, first proposed by Shannon, and has become mature nowadays.

quantum error correction in nLab

When a local error affects the system, it leaves a detectable imprint—called the error syndrome. The decoding problem consists in inferring the recovery with ...

COLA: Orchestrating Error COding and LeArning for Robust Neural ...

Instead of mapping sample labels to one-hot labels in the original DNNs, DNNs with ECOCs en- code sample labels to codewords of a binary error correction code ...

Error Correction Code Transformer

Error correction code is a major part of the physical communication layer, ensuring the reliable transfer of data over noisy channels.

Quantum variational learning for quantum error-correcting codes

Here we present VarQEC, a noise-resilient variational quantum algorithm to search for quantum codes with a hardware-efficient encoding circuit.

Low-loss belief propagation decoder with Tanner graph in quantum ...

Abstract: Quantum error-correction codes are immeasurable resources for quantum computing and quantum communication. However, the existing decoders are ...

Computationally Efficient Error-Correcting Codes and

There is a constant e > 0 and a linear-time decoding algorithm for these codes that maps every word of relative distance at most e from a codeword to that ...

Density matrix simulation of quantum error correction codes for near ...

... error channels such as Pauli matrices. In this model, error probability p is small enough so that the fidelity becomes. Equation (2). where Ek is a set of ...

Error-Correcting Codes - MIT Press

Error-Correcting Codes, by Professor Peterson, was originally published in 1961. Now, with EJ Weldon, Jr., as his coauthor, Professor Peterson has extensively ...

Chapter 2 – Coding Techniques

proportional to the square root of the number of gates (g) in an equivalent logic model ... Hamming Codes (error detection/error correction). To make a decision ...

Error-Correction Coding and Decoding - OAPEN Library

Author(s). Tomlinson, Martin. Tjhai, Cen Jung. Ambroze, Marcel A. Ahmed, Mohammed. Jibril, Mubarak. Language. English.

Nuclear numerical range and quantum error correction codes for ...

The need for a constructive method of finding quantum error correction codes for non-unitary noise models provides a motivation toward this work ...

Error Correction Up to the Information-Theoretic Limit | March 2009

In 1960, Irving Reed and Gustave Solomon described a construction of error-correcting codes, which are called Reed-Solomon codes after them, based on ...

Error Correction Code (ECC) - Semiconductor Engineering

ECC includes a wide array of mathematical ways to deal with errors. The most common type uses Hamming codes, which can correct one error and detect two errors.