Gröbner Bases, Coding, and Cryptography

Editors: Sala, M., Mora, T., Perret, L., Sakata, S., Traverso, C. (Eds.)

  • Covers exciting new research directions on Gröbner bases and their applications

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eBook $119.00
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  • ISBN 978-3-540-93806-4
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  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-540-93805-7
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  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
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  • ISBN 978-3-642-10100-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Coding theory and cryptography allow secure and reliable data transmission, which is at the heart of modern communication. Nowadays, it is hard to find an electronic device without some code inside.

Gröbner bases have emerged as the main tool in computational algebra, permitting numerous applications, both in theoretical contexts and in practical situations.

This book is the first book ever giving a comprehensive overview on the application of commutative algebra to coding theory and cryptography. For example, all important properties of algebraic/geometric coding systems (including encoding, construction, decoding, list decoding) are individually analysed, reporting all significant approaches appeared in the literature. Also, stream ciphers, PK cryptography, symmetric cryptography and Polly Cracker systems deserve each a separate chapter, where all the relevant literature is reported and compared. While many short notes hint at new exciting directions, the reader will find that all chapters fit nicely within a unified notation.

Table of contents (33 chapters)

  • Gröbner Bases, Coding, and Cryptography: a Guide to the State-of-Art

    Sala, Massimiliano

    Pages 1-8

  • Gröbner Technology

    Mora, Teo

    Pages 11-25

  • The FGLM Problem and Möller’s Algorithm on Zero-dimensional Ideals

    Mora, Teo

    Pages 27-45

  • An Introduction to Linear and Cyclic Codes

    Augot, Daniel (et al.)

    Pages 47-68

  • Decoding Cyclic Codes: the Cooper Philosophy

    Mora, Teo (et al.)

    Pages 69-91

Buy this book

eBook $119.00
price for USA (gross)
  • ISBN 978-3-540-93806-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $159.00
price for USA
  • ISBN 978-3-540-93805-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $159.00
price for USA
  • ISBN 978-3-642-10100-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Gröbner Bases, Coding, and Cryptography
Editors
  • Massimiliano Sala
  • Teo Mora
  • Ludovic Perret
  • Shojiro Sakata
  • Carlo Traverso
Copyright
2009
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-93806-4
DOI
10.1007/978-3-540-93806-4
Hardcover ISBN
978-3-540-93805-7
Softcover ISBN
978-3-642-10100-7
Edition Number
1
Number of Pages
XVI, 430
Topics