Lecture Notes in Computer Science

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

14th International Symposium, AAECC-14, Melbourne, Australia, November 26-30, 2001. Proceedings

Editors: Boztas, Serdar, Shparlinski, Igor E. (Eds.)

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About this book

The AAECC Symposia Series was started in 1983 by Alain Poli (Toulouse), who, together with R. Desq, D. Lazard, and P. Camion, organized the ?rst conference. Originally the acronym AAECC meant “Applied Algebra and Error-Correcting Codes”. Over the years its meaning has shifted to “Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes”, re?ecting the growing importance of complexity in both decoding algorithms and computational algebra. AAECC aims to encourage cross-fertilization between algebraic methods and their applications in computing and communications. The algebraic orientation is towards ?nite ?elds, complexity, polynomials, and graphs. The applications orientation is towards both theoretical and practical error-correction coding, and, since AAECC 13 (Hawaii, 1999), towards cryptography. AAECC was the ?rst symposium with papers connecting Gr¨obner bases with E-C codes. The balance between theoretical and practical is intended to shift regularly; at AAECC-14 the focus was on the theoretical side. The main subjects covered were: – Codes: iterative decoding, decoding methods, block codes, code construction. – Codes and algebra: algebraic curves, Gr¨obner bases, and AG codes. – Algebra: rings and ?elds, polynomials. – Codes and combinatorics: graphs and matrices, designs, arithmetic. – Cryptography. – Computational algebra: algebraic algorithms. – Sequences for communications.

Table of contents (40 chapters)

Table of contents (40 chapters)
  • The Ubiquity of Reed-Muller Codes

    Massey, James L.

    Pages 1-12

  • Self-dual Codes-Theme and Variations

    Pless, Vera

    Pages 13-21

  • Design of Differential Space-Time Codes Using Group Theory

    Shokrollahi, Amin

    Pages 22-35

  • Ideal Error-Correcting Codes: Unifying Algebraic and Number-Theoretic Algorithms

    Sudan, Madhu

    Pages 36-45

  • Self-dual Codes Using Image Restoration Techniques

    Baliga, A. (et al.)

    Pages 46-56

Buy this book

eBook $84.99
price for USA in USD (gross)
  • ISBN 978-3-540-45624-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $109.00
price for USA in USD
  • ISBN 978-3-540-42911-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes
Book Subtitle
14th International Symposium, AAECC-14, Melbourne, Australia, November 26-30, 2001. Proceedings
Editors
  • Serdar Boztas
  • Igor E. Shparlinski
Series Title
Lecture Notes in Computer Science
Series Volume
2227
Copyright
2001
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-45624-7
DOI
10.1007/3-540-45624-4
Softcover ISBN
978-3-540-42911-1
Series ISSN
0302-9743
Edition Number
1
Number of Pages
XII, 404
Topics