Error-correcting linear codes : classification by isometry and applications

Author(s)

• Betten, Anton

Bibliographic Information

Error-correcting linear codes : classification by isometry and applications

Anton Betten ... [et al.]

（Algorithms and computation in mathematics, v. 18）

Springer, c2006

Note

Includes bibliographical references (p. [771]-783) and index

Description and Table of Contents

Description

This text offers an introduction to error-correcting linear codes for researchers and graduate students in mathematics, computer science and engineering. The book differs from other standard texts in its emphasis on the classification of codes by means of isometry classes. The relevant algebraic are developed rigorously. Cyclic codes are discussed in great detail. In the last four chapters these isometry classes are enumerated, and representatives are constructed algorithmically.

Table of Contents

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.

by "Nielsen BookData"

Details

• NCID: BA78390869
• ISBN:
  • 3540283714
• LCCN: 2006929536
• Country Code: gw
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Berlin
• Pages/Volumes: xxix, 798 p.
• Size: 24 cm.
• Attached Material: 1 CD-ROM
• Classification:
  • SG : 510
• Parent Bibliography ID:
  • BA29301589