Gröbner Bases, Coding, and Cryptography
Editor
- Massimiliano Sala(University College Cork, Boole Centre for Research in Informatics)Shojiro Sakata(Toyohashi University of Technology, Faculty of Engineering Dept. Production Systems Engineering)Teo Mora(Università Genova, Dipto. Matematica)Carlo Traverso(Università Pisa, Dipto. Matematica)Ludovic Perret(University of Paris VI, LIP6)
Abstract
No abstract is available for this item.Individual chapters are listed in the "Chapters" tab
Suggested Citation
- Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), 2009. "Gröbner Bases, Coding, and Cryptography," Springer Books, Springer, number 978-3-540-93806-4, October.
Handle: RePEc:spr:sprbok:978-3-540-93806-4
DOI: 10.1007/978-3-540-93806-4Download full text from publisher
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The following chapters of this book are listed in IDEAS- Massimiliano Sala, 2009. "Gröbner Bases, Coding, and Cryptography: a Guide to the State-of-Art," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 1-8, Springer.
- Teo Mora, 2009. "Gröbner Technology," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 11-25, Springer.
- Teo Mora, 2009. "The FGLM Problem and Möller’s Algorithm on Zero-dimensional Ideals," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 27-45, Springer.
- Daniel Augot & Emanuele Betti & Emmanuela Orsini, 2009. "An Introduction to Linear and Cyclic Codes," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 47-68, Springer.
- Teo Mora & Emmanuela Orsini, 2009. "Decoding Cyclic Codes: the Cooper Philosophy," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 69-91, Springer.
- Douglas A. Leonard, 2009. "A Tutorial on AG Code Construction from a Gröbner Basis Perspective," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 93-106, Springer.
- John B. Little, 2009. "Automorphisms and Encoding of AG and Order Domain Codes," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 107-120, Springer.
- Olav Geil, 2009. "Algebraic Geometry Codes from Order Domains," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 121-141, Springer.
- Shojiro Sakata, 2009. "The BMS Algorithm," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 143-163, Springer.
- Shojiro Sakata, 2009. "The BMS Algorithm and Decoding of AG Codes," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 165-185, Springer.
- Douglas A. Leonard, 2009. "A Tutorial on AG Code Decoding from a Gröbner Basis Perspective," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 187-196, Springer.
- Eleonora Guerrini & Anna Rimoldi, 2009. "FGLM-Like Decoding: from Fitzpatrick’s Approach to Recent Developments," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 197-218, Springer.
- Marcus Greferath, 2009. "An Introduction to Ring-Linear Coding Theory," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 219-238, Springer.
- Eimear Byrne & Teo Mora, 2009. "Gröbner Bases over Commutative Rings and Applications to Coding Theory," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 239-261, Springer.
- Olivier Billet & Jintai Ding, 2009. "Overview of Cryptanalysis Techniques in Multivariate Public Key Cryptography," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 263-283, Springer.
- Françoise Levy-dit-Vehel & Maria Grazia Marinari & Ludovic Perret & Carlo Traverso, 2009. "A Survey on Polly Cracker Systems," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 285-305, Springer.
- Carlos Cid & Ralf-Philipp Weinmann, 2009. "Block Ciphers: Algebraic Cryptanalysis and Gröbner Bases," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 307-327, Springer.
- Frederik Armknecht & Gwenolé Ars, 2009. "Algebraic Attacks on Stream Ciphers with Gröbner Bases," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 329-348, Springer.
- Kristine Lally, 2009. "Canonical Representation of Quasicyclic Codes Using Gröbner Bases Theory," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 351-355, Springer.
- Marta Giorgetti, 2009. "About the nth-Root Codes: a Gröbner Basis Approach to the Weight Computation," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 357-360, Springer.
- Stanislav Bulygin & Ruud Pellikaan, 2009. "Decoding Linear Error-Correcting Codes up to Half the Minimum Distance with Gröbner Bases," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 361-365, Springer.
- Eleonora Guerrini & Emmanuela Orsini & Ilaria Simonetti, 2009. "Gröbner Bases for the Distance Distribution of Systematic Codes," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 367-372, Springer.
- Jon-Lark Kim, 2009. "A Prize Problem in Coding Theory," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 373-377, Springer.
- M. Borges-Quintana & M. A. Borges-Trenard & E. Martínez-Moro, 2009. "An Application of Möller’s Algorithm to Coding Theory," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 379-384, Springer.
- Edgar Martínez-Moro & Diego Ruano, 2009. "Mattson Solomon Transform and Algebra Codes," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 385-388, Springer.
- Peter Beelen & Kristian Brander, 2009. "Decoding Folded Reed–Solomon Codes Using Hensel-Lifting," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 389-394, Springer.
- Daniel Augot & Michael Stepanov, 2009. "A Note on the Generalisation of the Guruswami–Sudan List Decoding Algorithm to Reed–Muller Codes," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 395-398, Springer.
- Gretchen L. Matthews, 2009. "Viewing Multipoint Codes as Subcodes of One-Point Codes," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 399-402, Springer.
- Heide Gluesing-Luerssen & Barbara Langfeld & Wiland Schmale, 2009. "A Short Introduction to Cyclic Convolutional Codes," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 403-408, Springer.
- Ilaria Simonetti, 2009. "On the Non-linearity of Boolean Functions," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 409-413, Springer.
- D. Gligoroski & V. Dimitrova & S. Markovski, 2009. "Quasigroups as Boolean Functions, Their Equation Systems and Gröbner Bases," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 415-420, Springer.
- Danilo Gligoroski & Smile Markovski & Svein Johan Knapskog, 2009. "A New Measure to Estimate Pseudo-Randomness of Boolean Functions and Relations with Gröbner Bases," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 421-425, Springer.
- Ryutaroh Matsumoto, 2009. "Radical Computation for Small Characteristics," Springer Books, in: Massimiliano Sala & Shojiro Sakata & Teo Mora & Carlo Traverso & Ludovic Perret (ed.), Gröbner Bases, Coding, and Cryptography, pages 427-430, Springer.
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