1 Zigzag Codes: MDS Array Codes with Optimal Rebuilding Itzhak Tamo∗ † , Zhiying Wang∗ , and Jehoshua Bruck∗ Engineering Department, California Institute of Technology, Pasadena, CA 91125, USA

Source URL: paradise.caltech.edu

• Coding theory
• Mathematics
• Discrete mathematics
• Erasure code
• Permutation
• MDS matrix
• Linear subspace
• Hamming code
• ReedSolomon error correction

Problem set First steps in Research - Error correcting codes. 1. A [n, k, d]Σ code is perfect if for every x ∈ Σn there exists a codeword c within Hamming distance d−1 2 . Prove that the [7, 4, 3]2 Hamming code is

Source URL: tq.cs.tau.ac.il

First steps in Research: Error correcting codesHamming code) Read about the Hamming [2k − 1, 2k − k − 1, d = 3]2 code. (one place to read about it is Madhu Sudan’s lecture notes, http://people.csa

Source URL: tq.cs.tau.ac.il

Signal and Information Processing Laboratory Institut für Signal- und Informationsverarbeitung August 2015

Source URL: www.isiweb.ee.ethz.ch

• Coding theory
• Error detection and correction
• Information theory
• Discrete mathematics
• Mathematics
• Linear code
• Hamming code
• ReedSolomon error correction
• Forward error correction
• Hamming
• Generator matrix
• Singleton bound

Why disk arrays? Reliability implications of arrays • CPUs speeds increase faster than disks

Source URL: www.scs.stanford.edu

• Computer architecture
• Standard RAID levels
• Data corruption
• Data striping
• Non-standard RAID levels
• Parity bit
• Logical disk
• Disk storage
• Hamming code
• RAID
• Computing
• Computer hardware

Reprinted from Proceedings of the 2011 ACM Symposium on Principles of Programming Languages (POPL’11) Resourceable, Retargetable, Modular Instruction Selection Using a Machine-Independent, Type-Based Tiling of Low-Lev

Source URL: www.cs.tufts.edu

• Software engineering
• Instruction set architectures
• Instruction selection
• Code generation
• ALGOL 68
• Intermediate language
• Hamming weight
• ARM architecture
• Programming language theory
• Computing
• Compiler construction

2002 Paper 9 Question 10 Information Theory and Coding (a) (i ) A Hamming Code allows reliable transmission of data over a noisy channel with guaranteed error correction as long as no more than one bit in any block of 7

Source URL: www.cl.cam.ac.uk

Formalization of Error-correcting Codes using SSReflect Reynald Affeldt1 and Jacques Garrigue1 1 National Institute of Advanced Industrial Science and Technology 2

Source URL: www.math.nagoya-u.ac.jp

• Discrete mathematics
• Mathematics
• Linear code
• Low-density parity-check code
• Decoding methods
• Hamming code
• Hamming
• Forward error correction
• Parity-check matrix
• Coding theory
• Error detection and correction
• Information theory

Matrix Embedding for Large Payloads Jessica Fridricha and David Soukalb a Department of Electrical and Computer Engineering; Department of Computer Science;

Source URL: www.ws.binghamton.edu

• Linear code
• Hamming code
• Reed–Muller code
• Generator matrix
• Parity-check matrix
• Hamming
• Steganography
• GV-linear-code
• Hadamard code
• Coding theory
• Mathematics
• Embedding

Kinematic Analysis of a Space Mechanism—Rendezvous Simulator

Source URL: www.abhinavjournal.com

• Telecommunications engineering
• Information
• Low-density parity-check code
• Forward error correction
• Hamming
• Parity bit
• Linear code
• Parity-check matrix
• Cyclic code
• Coding theory
• Error detection and correction
• Mathematics