The Resource Gröbner bases, coding, and cryptography, Massimiliano Sala [and others], editors
Gröbner bases, coding, and cryptography, Massimiliano Sala [and others], editors
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The item Gröbner bases, coding, and cryptography, Massimiliano Sala [and others], editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item Gröbner bases, coding, and cryptography, Massimiliano Sala [and others], editors represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
- Summary
- 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
- Language
- eng
- Extent
- 1 online resource (xvi, 430 pages)
- Contents
-
- The FGLM Problem and Möller's Algorithm on Zero-dimensional Ideals
- Teo Mora
- An Introduction to Linear and Cyclic Codes
- Daniel Augot, Emanuele Betti and Emmanuela Orsini
- Decoding Cyclic Codes: the Cooper Philosophy
- Teo Mora and Emmanuela Orsini
- A Tutorial on AG Code Construction from a Gröbner Basis Perspective
- Douglas A. Leonard
- Automorphisms and Encoding of AG and Order Domain Codes
- John B. Little
- Part 1.
- Algebraic Geometry Codes from Order Domains
- Olav Geil
- The BMS Algorithm
- Shojiro Sakata
- The BMS Algorithm and Decoding of AG Codes
- Shojiro Sakata
- A Tutorial on AG Code Decoding from a Gröbner Basis Perspective
- Douglas A. Leonard
- FGLM-Like Decoding: from Fitzpatrick's Approach to Recent Developments
- Eleonora Guerrini and Anna Rimoldi
- Gröbner Bases, Coding, and Cryptography: a Guide to the State-of-Art
- An Introduction to Ring-Linear Coding Theory
- Marcus Greferath
- Gröbner Bases over Commutative Rings and Applications to Coding Theory
- Eimear Byrne and Teo Mora
- Overview of Cryptanalysis Techniques in Multivariate Public Key Cryptography
- Olivier Billet and Jintai Ding
- A Survey on Polly Cracker Systems
- Françoise Levy-dit-Vehel, Maria Grazia Marinari, Ludovic Perret and Carlo Traverso
- Block Ciphers: Algebraic Cryptanalysis and Gröbner Bases
- Carlos Cid and Ralf-Philipp Weinmann
- Gröbner Bases, Coding, and Cryptography: a Guide to the State-of-Art
- Algebraic Attacks on Stream Ciphers with Gröbner Bases
- Frederik Armknecht and Gwenolé Ars
- Massimiliano Sala
- Part 1.
- Invited Papers
- Gröbner Technology
- Teo Mora
- Gröbner Bases for the Distance Distribution of Systematic Codes
- Eleonora Guerrini, Emmanuela Orsini and Ilaria Simonetti
- A Prize Problem in Coding Theory
- Jon-Lark Kim
- An Application of Möller's Algorithm to Coding Theory
- M. Borges-Quintana, M.A. Borges-Trenard and E. Martínez-Moro
- Mattson Solomon Transform and Algebra Codes
- Edgar Martínez-Moro and Diego Ruano
- Decoding Folded Reed-Solomon Codes Using Hensel-Lifting
- Peter Beelen and Kristian Brander
- Part 2.
- A Note on the Generalisation of the Guruswami-Sudan List Decoding Algorithm to Reed-Muller Codes
- Daniel Augot and Michael Stepanov
- Viewing Multipoint Codes as Subcodes of One-Point Codes
- Gretchen L. Matthews
- A Short Introduction to Cyclic Convolutional Codes
- Heide Gluesing-Luerssen, Barbara Langfeld and Wiland Schmale
- On the Non-linearity of Boolean Functions
- Ilaria Simonetti
- Quasigroups as Boolean Functions, Their Equation Systems and Gröbner Bases
- D. Gligoroski, V. Dimitrova and S. Markovski
- Notes
- A New Measure to Estimate Pseudo-Randomness of Boolean Functions and Relations with Gröbner Bases
- Danilo Gligoroski, Smile Markovski and Svein Johan Knapskog
- Radical Computation for Small Characteristics
- Ryutaroh Matsumoto
- Canonical Representation of Quasicyclic Codes Using Gröbner Bases Theory
- Kristine Lally
- About the nth-Root Codes: a Gröbner Basis Approach to the Weight Computation
- Marta Giorgetti
- Decoding Linear Error-Correcting Codes up to Half the Minimum Distance with Gröbner Bases
- Stanislav Bulygin and Ruud Pellikaan
- Isbn
- 9783540938064
- Label
- Gröbner bases, coding, and cryptography
- Title
- Gröbner bases, coding, and cryptography
- Statement of responsibility
- Massimiliano Sala [and others], editors
- Language
- eng
- Summary
- 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
- Cataloging source
- N$T
- Dewey number
- 512.44
- Illustrations
- illustrations
- Index
- no index present
- LC call number
- QA251.3
- LC item number
- .G76 2009eb
- Literary form
- non fiction
- Nature of contents
-
- dictionaries
- bibliography
- http://library.link/vocab/relatedWorkOrContributorDate
- 1969-
- http://library.link/vocab/relatedWorkOrContributorName
- Sala, Massimiliano
- http://library.link/vocab/subjectName
-
- Gröbner bases
- Coding theory
- Cryptography
- MATHEMATICS
- Coding theory
- Cryptography
- Gröbner bases
- Label
- Gröbner bases, coding, and cryptography, Massimiliano Sala [and others], editors
- Antecedent source
- unknown
- Bibliography note
- Includes bibliographical references
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- mixed
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
-
- The FGLM Problem and Möller's Algorithm on Zero-dimensional Ideals
- Teo Mora
- An Introduction to Linear and Cyclic Codes
- Daniel Augot, Emanuele Betti and Emmanuela Orsini
- Decoding Cyclic Codes: the Cooper Philosophy
- Teo Mora and Emmanuela Orsini
- A Tutorial on AG Code Construction from a Gröbner Basis Perspective
- Douglas A. Leonard
- Automorphisms and Encoding of AG and Order Domain Codes
- John B. Little
- Part 1.
- Algebraic Geometry Codes from Order Domains
- Olav Geil
- The BMS Algorithm
- Shojiro Sakata
- The BMS Algorithm and Decoding of AG Codes
- Shojiro Sakata
- A Tutorial on AG Code Decoding from a Gröbner Basis Perspective
- Douglas A. Leonard
- FGLM-Like Decoding: from Fitzpatrick's Approach to Recent Developments
- Eleonora Guerrini and Anna Rimoldi
- Gröbner Bases, Coding, and Cryptography: a Guide to the State-of-Art
- An Introduction to Ring-Linear Coding Theory
- Marcus Greferath
- Gröbner Bases over Commutative Rings and Applications to Coding Theory
- Eimear Byrne and Teo Mora
- Overview of Cryptanalysis Techniques in Multivariate Public Key Cryptography
- Olivier Billet and Jintai Ding
- A Survey on Polly Cracker Systems
- Françoise Levy-dit-Vehel, Maria Grazia Marinari, Ludovic Perret and Carlo Traverso
- Block Ciphers: Algebraic Cryptanalysis and Gröbner Bases
- Carlos Cid and Ralf-Philipp Weinmann
- Gröbner Bases, Coding, and Cryptography: a Guide to the State-of-Art
- Algebraic Attacks on Stream Ciphers with Gröbner Bases
- Frederik Armknecht and Gwenolé Ars
- Massimiliano Sala
- Part 1.
- Invited Papers
- Gröbner Technology
- Teo Mora
- Gröbner Bases for the Distance Distribution of Systematic Codes
- Eleonora Guerrini, Emmanuela Orsini and Ilaria Simonetti
- A Prize Problem in Coding Theory
- Jon-Lark Kim
- An Application of Möller's Algorithm to Coding Theory
- M. Borges-Quintana, M.A. Borges-Trenard and E. Martínez-Moro
- Mattson Solomon Transform and Algebra Codes
- Edgar Martínez-Moro and Diego Ruano
- Decoding Folded Reed-Solomon Codes Using Hensel-Lifting
- Peter Beelen and Kristian Brander
- Part 2.
- A Note on the Generalisation of the Guruswami-Sudan List Decoding Algorithm to Reed-Muller Codes
- Daniel Augot and Michael Stepanov
- Viewing Multipoint Codes as Subcodes of One-Point Codes
- Gretchen L. Matthews
- A Short Introduction to Cyclic Convolutional Codes
- Heide Gluesing-Luerssen, Barbara Langfeld and Wiland Schmale
- On the Non-linearity of Boolean Functions
- Ilaria Simonetti
- Quasigroups as Boolean Functions, Their Equation Systems and Gröbner Bases
- D. Gligoroski, V. Dimitrova and S. Markovski
- Notes
- A New Measure to Estimate Pseudo-Randomness of Boolean Functions and Relations with Gröbner Bases
- Danilo Gligoroski, Smile Markovski and Svein Johan Knapskog
- Radical Computation for Small Characteristics
- Ryutaroh Matsumoto
- Canonical Representation of Quasicyclic Codes Using Gröbner Bases Theory
- Kristine Lally
- About the nth-Root Codes: a Gröbner Basis Approach to the Weight Computation
- Marta Giorgetti
- Decoding Linear Error-Correcting Codes up to Half the Minimum Distance with Gröbner Bases
- Stanislav Bulygin and Ruud Pellikaan
- Control code
- 456449585
- Dimensions
- unknown
- Extent
- 1 online resource (xvi, 430 pages)
- File format
- unknown
- Form of item
- online
- Isbn
- 9783540938064
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-3-540-93806-4
- Other physical details
- illustrations
- http://library.link/vocab/ext/overdrive/overdriveId
- 236453
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)456449585
- Label
- Gröbner bases, coding, and cryptography, Massimiliano Sala [and others], editors
- Antecedent source
- unknown
- Bibliography note
- Includes bibliographical references
- Carrier category
- online resource
- Carrier category code
-
- cr
- Carrier MARC source
- rdacarrier
- Color
- mixed
- Content category
- text
- Content type code
-
- txt
- Content type MARC source
- rdacontent
- Contents
-
- The FGLM Problem and Möller's Algorithm on Zero-dimensional Ideals
- Teo Mora
- An Introduction to Linear and Cyclic Codes
- Daniel Augot, Emanuele Betti and Emmanuela Orsini
- Decoding Cyclic Codes: the Cooper Philosophy
- Teo Mora and Emmanuela Orsini
- A Tutorial on AG Code Construction from a Gröbner Basis Perspective
- Douglas A. Leonard
- Automorphisms and Encoding of AG and Order Domain Codes
- John B. Little
- Part 1.
- Algebraic Geometry Codes from Order Domains
- Olav Geil
- The BMS Algorithm
- Shojiro Sakata
- The BMS Algorithm and Decoding of AG Codes
- Shojiro Sakata
- A Tutorial on AG Code Decoding from a Gröbner Basis Perspective
- Douglas A. Leonard
- FGLM-Like Decoding: from Fitzpatrick's Approach to Recent Developments
- Eleonora Guerrini and Anna Rimoldi
- Gröbner Bases, Coding, and Cryptography: a Guide to the State-of-Art
- An Introduction to Ring-Linear Coding Theory
- Marcus Greferath
- Gröbner Bases over Commutative Rings and Applications to Coding Theory
- Eimear Byrne and Teo Mora
- Overview of Cryptanalysis Techniques in Multivariate Public Key Cryptography
- Olivier Billet and Jintai Ding
- A Survey on Polly Cracker Systems
- Françoise Levy-dit-Vehel, Maria Grazia Marinari, Ludovic Perret and Carlo Traverso
- Block Ciphers: Algebraic Cryptanalysis and Gröbner Bases
- Carlos Cid and Ralf-Philipp Weinmann
- Gröbner Bases, Coding, and Cryptography: a Guide to the State-of-Art
- Algebraic Attacks on Stream Ciphers with Gröbner Bases
- Frederik Armknecht and Gwenolé Ars
- Massimiliano Sala
- Part 1.
- Invited Papers
- Gröbner Technology
- Teo Mora
- Gröbner Bases for the Distance Distribution of Systematic Codes
- Eleonora Guerrini, Emmanuela Orsini and Ilaria Simonetti
- A Prize Problem in Coding Theory
- Jon-Lark Kim
- An Application of Möller's Algorithm to Coding Theory
- M. Borges-Quintana, M.A. Borges-Trenard and E. Martínez-Moro
- Mattson Solomon Transform and Algebra Codes
- Edgar Martínez-Moro and Diego Ruano
- Decoding Folded Reed-Solomon Codes Using Hensel-Lifting
- Peter Beelen and Kristian Brander
- Part 2.
- A Note on the Generalisation of the Guruswami-Sudan List Decoding Algorithm to Reed-Muller Codes
- Daniel Augot and Michael Stepanov
- Viewing Multipoint Codes as Subcodes of One-Point Codes
- Gretchen L. Matthews
- A Short Introduction to Cyclic Convolutional Codes
- Heide Gluesing-Luerssen, Barbara Langfeld and Wiland Schmale
- On the Non-linearity of Boolean Functions
- Ilaria Simonetti
- Quasigroups as Boolean Functions, Their Equation Systems and Gröbner Bases
- D. Gligoroski, V. Dimitrova and S. Markovski
- Notes
- A New Measure to Estimate Pseudo-Randomness of Boolean Functions and Relations with Gröbner Bases
- Danilo Gligoroski, Smile Markovski and Svein Johan Knapskog
- Radical Computation for Small Characteristics
- Ryutaroh Matsumoto
- Canonical Representation of Quasicyclic Codes Using Gröbner Bases Theory
- Kristine Lally
- About the nth-Root Codes: a Gröbner Basis Approach to the Weight Computation
- Marta Giorgetti
- Decoding Linear Error-Correcting Codes up to Half the Minimum Distance with Gröbner Bases
- Stanislav Bulygin and Ruud Pellikaan
- Control code
- 456449585
- Dimensions
- unknown
- Extent
- 1 online resource (xvi, 430 pages)
- File format
- unknown
- Form of item
- online
- Isbn
- 9783540938064
- Level of compression
- unknown
- Media category
- computer
- Media MARC source
- rdamedia
- Media type code
-
- c
- Other control number
- 10.1007/978-3-540-93806-4
- Other physical details
- illustrations
- http://library.link/vocab/ext/overdrive/overdriveId
- 236453
- Quality assurance targets
- not applicable
- Reformatting quality
- unknown
- Sound
- unknown sound
- Specific material designation
- remote
- System control number
- (OCoLC)456449585
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