𝔖 Scriptorium
✦   LIBER   ✦

πŸ“

Error-correcting linear codes. Classification by isometry and applications

✍ Scribed by Betten A. et al.


Publisher
Springer
Year
2006
Tongue
English
Leaves
818
Series
Algorithms and computation in mathematics 18
Category
Library

⬇  Acquire This Volume

No coin nor oath required. For personal study only.

✦ Table of Contents


Content: Linear Codes.- Bounds and Modifications.- Finite Fields.- Cyclic Codes.- Mathematics and Audio Compact Discs.- Enumeration of Isometry Classes.- Solving Systems of Diophantine Linear Equations.- Linear Codes with a Prescribed Minimum Distance.- The General Case.

✦ Subjects


code linéaire.;code cyclique.;Analyse combinatoire.;Codes correcteurs d'erreurs (Theorie de l'information);Codage.;Codes correcteurs d'erreurs (théorie de l'information);Corps finis.;Actions de groupes (mathématiques)


πŸ“œ SIMILAR VOLUMES


Error-Correcting Linear Codes: Classific
✍ Anton Betten, Michael Braun, Harald Fripertinger, Adalbert Kerber, Axel Kohnert, πŸ“‚ Library πŸ“… 2006 πŸ› Springer-Verlag Berlin Heidelberg 🌐 English

<p><p>This text offers a thorough introduction to the mathematical concepts behind the theory of error-correcting linear codes. Care is taken to introduce the necessary algebraic concepts, for instance the theory of finite fields, the polynomial rings over such fields and the ubiquitous concept of g

Error-Correcting Linear Codes. Classific
✍ Cohen M.A. (Ed.) πŸ“‚ Library 🌐 English

Π˜Π·Π΄Π°Ρ‚Π΅Π»ΡŒΡΡ‚Π²ΠΎ Springer, 2006, -818 pp.<div class="bb-sep"></div>The fascinating theory of error-correcting codes is a rather new addition to the list of mathematical disciplines. It grew out of the need to communicate information electronically, and is currently no more than 60 years old. Being an ap

Error-Correcting Linear Codes: Classific
✍ Anton Betten, Michael Braun, Harald Fripertinger, Adalbert Kerber, Axel Kohnert, πŸ“‚ Library πŸ“… 2006 πŸ› Springer 🌐 English

<P>This text offers an introduction to error-correcting linear codes for graduate students in mathematics, computer science and engineering and researchers. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. The relevant algebraic

Error-Correcting Linear Codes: Classific
✍ Anton Betten, Michael Braun, Harald Fripertinger, Adalbert Kerber, Axel Kohnert, πŸ“‚ Library πŸ“… 2006 🌐 English

This text offers an introduction to error-correcting linear codes for graduate students in mathematics, computer science and engineering and researchers. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. The relevant algebraic con

Linear Network Error Correction Coding
✍ Xuan Guang, Zhen Zhang (auth.) πŸ“‚ Library πŸ“… 2014 πŸ› Springer-Verlag New York 🌐 English

There are two main approaches in the theory of network error correction coding. In this SpringerBrief, the authors summarize some of the most important contributions following the classic approach, which represents messages by sequences similar to algebraic coding, and also briefly discuss the main