Gröbner Bases, Coding, and Cryptography (Record no. 372243)

000 -LEADER
fixed length control field 05064nam a22005775i 4500
001 - CONTROL NUMBER
control field 978-3-540-93806-4
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20180115171711.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 120522s2009 gw | s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9783540938064
-- 978-3-540-93806-4
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-3-540-93806-4
Source of number or code doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA150-272
072 #7 - SUBJECT CATEGORY CODE
Subject category code PBF
Source bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code MAT002000
Source bisacsh
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512
Edition number 23
245 10 - TITLE STATEMENT
Title Gröbner Bases, Coding, and Cryptography
Medium [electronic resource] /
Statement of responsibility, etc. edited by Massimiliano Sala, Shojiro Sakata, Teo Mora, Carlo Traverso, Ludovic Perret.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Berlin, Heidelberg :
Name of producer, publisher, distributor, manufacturer Springer Berlin Heidelberg,
Date of production, publication, distribution, manufacture, or copyright notice 2009.
300 ## - PHYSICAL DESCRIPTION
Extent XVI, 430 p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Gröbner Bases, Coding, and Cryptography: a Guide to the State-of-Art -- Gröbner Bases, Coding, and Cryptography: a Guide to the State-of-Art -- Invited Papers -- Gröbner Technology -- The FGLM Problem and Möller’s Algorithm on Zero-dimensional Ideals -- An Introduction to Linear and Cyclic Codes -- Decoding Cyclic Codes: the Cooper Philosophy -- A Tutorial on AG Code Construction from a Gröbner Basis Perspective -- Automorphisms and Encoding of AG and Order Domain Codes -- Algebraic Geometry Codes from Order Domains -- The BMS Algorithm -- The BMS Algorithm and Decoding of AG Codes -- A Tutorial on AG Code Decoding from a Gröbner Basis Perspective -- FGLM-Like Decoding: from Fitzpatrick’s Approach to Recent Developments -- An Introduction to Ring-Linear Coding Theory -- Gröbner Bases over Commutative Rings and Applications to Coding Theory -- Overview of Cryptanalysis Techniques in Multivariate Public Key Cryptography -- A Survey on Polly Cracker Systems -- Block Ciphers: Algebraic Cryptanalysis and Gröbner Bases -- Algebraic Attacks on Stream Ciphers with Gröbner Bases -- Notes -- Canonical Representation of Quasicyclic Codes Using Gröbner Bases Theory -- About the nth-Root Codes: a Gröbner Basis Approach to the Weight Computation -- Decoding Linear Error-Correcting Codes up to Half the Minimum Distance with Gröbner Bases -- Gröbner Bases for the Distance Distribution of Systematic Codes -- A Prize Problem in Coding Theory -- An Application of Möller’s Algorithm to Coding Theory -- Mattson Solomon Transform and Algebra Codes -- Decoding Folded Reed–Solomon Codes Using Hensel-Lifting -- A Note on the Generalisation of the Guruswami–Sudan List Decoding Algorithm to Reed–Muller Codes -- Viewing Multipoint Codes as Subcodes of One-Point Codes -- A Short Introduction to Cyclic Convolutional Codes -- On the Non-linearity of Boolean Functions -- Quasigroups as Boolean Functions, Their Equation Systems and Gröbner Bases -- A New Measure to Estimate Pseudo-Randomness of Boolean Functions and Relations with Gröbner Bases -- Radical Computation for Small Characteristics.
520 ## - SUMMARY, ETC.
Summary, etc. 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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Data encryption (Computer science).
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computers.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Computer science
General subdivision Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Discrete mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Combinatorics.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Algebra.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Discrete Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Combinatorics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Data Encryption.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics of Computing.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Theory of Computation.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Sala, Massimiliano.
Relator term editor.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Sakata, Shojiro.
Relator term editor.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Mora, Teo.
Relator term editor.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Traverso, Carlo.
Relator term editor.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Perret, Ludovic.
Relator term editor.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9783540938057
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-3-540-93806-4">http://dx.doi.org/10.1007/978-3-540-93806-4</a>
912 ## -
-- ZDB-2-SMA
Holdings
Withdrawn status Lost status Damaged status Not for loan Collection code Permanent Location Current Location Date acquired Date last seen Price effective from Koha item type
  Not Lost     EBook e-Library e-Library 2018-01-15 2018-01-15 2018-01-15 eBook

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