Jump to ContentJump to Main Navigation
Statistical Physics of Spin Glasses and Information ProcessingAn Introduction$
Users without a subscription are not able to see the full content.

Hidetoshi Nishimori

Print publication date: 2001

Print ISBN-13: 9780198509417

Published to Oxford Scholarship Online: January 2010

DOI: 10.1093/acprof:oso/9780198509417.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2020. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 04 April 2020

Error-Correcting Codes

Error-Correcting Codes

(p.74) 5 Error-Correcting Codes
Statistical Physics of Spin Glasses and Information Processing

Hidetoshi Nishimori

Oxford University Press

Reliable transmission of information through noisy channels plays a vital role in modern society. Some aspects of this problem have close formal similarities to the theory of spin glasses. Noise in the transmission channel can be related to random interactions in spin glasses and the bit sequence representing information corresponds to the Ising spin configuration. The replica method serves as a powerful tool of analysis, and TAP-like equations can be used as a practical implementation of the algorithm to infer the original message. The gauge theory also provides an interesting point of view. This chapter introduces these problems.

Keywords:   error-correcting codes, signal transmission, noise, transmission channel, replica method

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .