Codes, cryptology and curves with computer algebra
First Statement of Responsibility
Ruud Pellikaan, Xin-Wen Wu, Relinde Jurrius.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Cambridge, UK.
Name of Publisher, Distributor, etc.
University Printing House
Date of Publication, Distribution, etc.
2018.
PHYSICAL DESCRIPTION
Specific Material Designation and Extent of Item
597 p.
INTERNAL BIBLIOGRAPHIES/INDEXES NOTE
Text of Note
Includes bibliographical references and index.
CONTENTS NOTE
Text of Note
Error-correcting codes / Ruud Pellikaan and Xin-Wen Wu -- Code constructions and bounds on codes / Ruud Pellikaan and Xin-Wen Wu -- Weight enumeration / Relinde Jurrius, Ruud Pellikaan and Xin-Wen Wu -- Cyclic codes / Ruud Pellikaan -- Polynomial codes / Ruud Pellikaan -- Algebraic decoding / Ruud Pellikaan and Xin-Wen Wu -- Complexity and decoding / Stanislav Bulygin, Ruud Pellikaan and Xin-Wen Wu -- Codes and related structures / Relinde Jurrius and Ruud Pellikaan -- Cryptology / Stanislav Bulygin -- Gröbner bases for coding and cryptology / Stanislav Bulygin -- Codes on curves / Ruud Pellikaan -- Coding and cryptology with computer algebra / Stanislav Bulygin
0
SUMMARY OR ABSTRACT
Text of Note
This well-balanced text touches on theoretical and applied aspects of protecting digital data. The reader is provided with the basic theory and is then shown deeper fascinating detail, including the current state of the art. Readers will soon become familiar with methods of protecting digital data while it is transmitted, as well as while the data is being stored. Both basic and advanced error-correcting codes are introduced together with numerous results on their parameters and properties. The authors explain how to apply these codes to symmetric and public key cryptosystems and secret sharing. Interesting approaches based on polynomial systems solving are applied to cryptography and decoding codes. Computer algebra systems are also used to provide an understanding of how objects introduced in the book are constructed, and how their properties can be examined. This book is designed for Masters-level students studying mathematics, computer science, electrical engineering or physics
TOPICAL NAME USED AS SUBJECT
Entry Element
Error-correcting codes (Information theory)
Entry Element
Curves, Algebraic.
Entry Element
Coding theory.
DEWEY DECIMAL CLASSIFICATION
Edition
23
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QA268
Book number
.
P45
2018
PERSONAL NAME - PRIMARY RESPONSIBILITY
Entry Element
Pellikaan, R.
Dates
1953-
Expansion of Initials of Forename
(Ruud),
PERSONAL NAME - ALTERNATIVE RESPONSIBILITY
Wu, Xin-Wen,
Bulygin, Stanislav,
ORIGINATING SOURCE
Country
ایران
Agency
University of Tehran. Library of College of Science