Advances In Coding Theory And Cryptography

By: Tanush Shaska (Editor), W C Huffman (Editor), D Joyner (Editor)

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Hardcover | 6 July 2007

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268 Pages

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23.5 x 15.88 x 1.91

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In the new era of technology and advanced communications, coding theory and cryptography play a particularly significant role with a huge amount of research being done in both areas. This book presents some of that research, authored by prominent experts in the field.The book contains articles from a variety of topics most of which are from coding theory. Such topics include codes over order domains, Groebner representation of linear codes, Griesmer codes, optical orthogonal codes, lattices and theta functions related to codes, Goppa codes and Tschirnhausen modules, s-extremal codes, automorphisms of codes, etc. There are also papers in cryptography which include articles on extremal graph theory and its applications in cryptography, fast arithmetic on hyperelliptic curves via continued fraction expansions, etc. Researchers working in coding theory and cryptography will find this book an excellent source of information on recent research.

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Preface	p. v
List of authors	p. vii
The key equation for codes from order domains	p. 1
A Grobner representation for linear codes	p. 17
Arcs, minihypers, and the classification of three-dimensional Griesmer codes	p. 33
Optical orthogonal codes from Singer groups	p. 51
Codes over F[subscript p superscript 2] lattices, and theta functions	p. 70
Goppa codes and Tschirnhausen modules	p. 81
Remarks on s-extremal codes	p. 101
Automorphism groups of generalized Reed-Solomon codes	p. 114
About the code equivalence	p. 126
Permutation decoding for binary self-dual codes from the graph Q[subscript n] where n is even	p. 152
The sum-product algorithm on small graphs	p. 160
On the extremal graph theory for directed graphs and its cryptographical applications	p. 181
Fast arithmetic on hyperelliptic curves via continued fraction expansions	p. 200
The number of inequivalent binary self-orthogonal codes of dimension 6	p. 244
Table of Contents provided by Ingram. All Rights Reserved.

Advances In Coding Theory And Cryptography

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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