2 edition of **Gröbner bases, coding, and cryptography** found in the catalog.

- 330 Want to read
- 23 Currently reading

Published
**2009**
by Springer, RISC in Berlin, [Linz, Austria]
.

Written in English

- Gröbner bases,
- Coding theory,
- Cryptography

**Edition Notes**

Statement | Massimiliano Sala ... [et al.], editors |

Contributions | SpringerLink (Online service) |

Classifications | |
---|---|

LC Classifications | QA251.3 .G76 2009eb |

The Physical Object | |

Format | [electronic resource] / |

Pagination | 1 online resource (xvi, 430 p.) : |

Number of Pages | 430 |

ID Numbers | |

Open Library | OL25542645M |

ISBN 10 | 3540938060, 3540938052 |

ISBN 10 | 9783540938064, 9783540938057 |

OCLC/WorldCa | 456449585 |

Pearson eText Introduction to Cryptography with Coding Theory -- Access Card (3rd Edition) With its conversational tone and practical focus, this text mixes applied and theoretical aspects for a solid introduction to cryptography and security, including Cited by: Gröbner bases and their applications. The method of Gröbner bases is a powerful technique for solving problems in commutative algebra (polynomial ideal theory, algebraic geometry) that was introduced by Bruno Buchberger in his PhD thesis [Buchbergerthesis] (for English translation see [Abramsontranslation] and for a historical background see [Abramsonhistory]).

COST Action Cryptography for Secure Digital Interaction ; Some Selected Talks ``Gröbner Bases Techniques in Post-Quantum Cryptography", Winter School of PQC'16, February, 22 - 23, , Fukuoka, Japan ``Algebraic Algorithms for LWE", The Mathematics of Modern Cryptography, Jul. 6 - Jul. 10, , Simons Institue, Berkeley, USA. What?Gröbner bases are nice, useful generating sets of ideals in polynomial rings [9],[10], [6], What for?Gröbner bases have lots of applications [4], e.g. solving multivariate polynomial equations e.g. solving systems of ode’s per Laplace How?algorithmically, per CAS, z.B. SAGE Special motivation: e.g. decode Goppa-codes using Gröbner File Size: KB.

Other Selected Topics in Information and Coding Theory: Low-Density Parity-Check Codes and the Related Performance Analysis Methods (X-D Ma) Variable Length Codes and Finite Automata (M-P Béal et al.) Decoding and Finding the Minimum Distance with Gröbner Bases: History and New Insights (S Bulygin & R Pellikaan). Moreover, Göbner bases have various applications, for example, in the fields of robotics and cryptography that underline the importance of this field of computational algebra. The aim of this session is to gather researchers with an interest in the theory of Gröbner bases as well as those focussing on efficient implementations.

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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 coding ever giving a comprehensive overview on the application of coding algebra to coding and cryptography book and cryptography.

Request PDF | Gröbner Bases, Coding, and Cryptography | Coding theory and cryptography allow secure and reliable data transmission, which is at the. 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 : Massimiliano Sala; Teo Mora; Ludovic Perret. Get this from a library. Gröbner bases, coding, and cryptography.

[Massimiliano Sala;] -- This text presents a comprehensive overview on the application of commutative algebra to coding theory and cryptography. For example, all important properties of algebraic/geometric coding systems. Grobner 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. Get this from a library. Gröbner bases, coding, and cryptography.

[Massimiliano Sala;] -- 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. 12 Marcus Greferath: An introduction to ring-linear coding theory, 13 Eimear Byrne, Teo Mora: Groebner bases over commutative Artin chain rings and applications to coding theory, 14 Olivier Billet and Jintai Ding: Overview of cryptanalysis techniques in multivariate public key cryptography.

Groebner Bases and Coding. Conference Paper Bases, Coding, and Cryptography, Springer We show how our Gröbner basis algorithm, Author: Thomas Risse. F. Armknecht and G.

Ars, Algebraic attacks on stream ciphers with Gröbner bases, this volume,pp. – Google Scholar D. Augot and M. Stepanov, A note on the generalisation of the Guruswami–Sudan list decoding algorithm to Reed–Muller codes, this volume,pp.

–Cited by: 2. Applications in science and technology are abundant, particularly in cryptography and coding theory. Gröbner bases computation is challenging and a great deal of effort has been devoted to improve algorithms to compute faster larger bases.

The concept of mutant polynomials, introduced by Ding incharacterizes a phenomenon of degeneration Author: Daniel Cabarcas Jaramillo.

Gröbner Bases in Cryptography, Coding Theory, and Algebraic Combinatorics Edited by Daniel Augot, Jean-Charles Faugère, Ludovic Perret Vol Issue Find all results for Cryptography,Cryptology and Coding on Cambridge Core, the new academic platform by Cambridge University Press.

Gröbner Bases: A Short Introduction for Systems Theorists Bruno Buchberger Research Institute for Symbolic Computation University of Linz, A Schloss Hagenberg, Austria [email protected]− Abstract. In this paper, we give a brief overview on Gröbner bases theory, addressed to novices without prior knowledge in the field.

In statistics and coding theory, a Hamming space is usually the set of all binary strings of length N. It is used in the theory of coding signals and transmission. More generally, a Hamming space can be defined over any alphabet (set) Q as the set of words of a fixed length N with letters from Q.

If Q is a finite field, then a Hamming space over Q is an N-dimensional vector space over. Gröbner Bases allow, for the first time, algorithmic solutions to some of the most fundamental problems in algebraic geometry but are applied also in such diverse areas as functional analysis, statistics, optimization, coding theory, cryptography, automated theorem proving in geometry, graph theory, combinatorial identities, symbolic summation.

Gröbner Bases and Applications; Gröbner Bases and Applications. Gröbner Bases and Applications. This book provides a short and easy-to-read account of the theory of Gröbner bases and its applications. It is in two parts, the first consisting of tutorial lectures, beginning with a general introduction.

Gröbner Bases and Coding. Guerrini, R. Lebreton, I. Zappatore. Polynomial Linear System Solving with Errors by Simultaneous Polynomial Reconstruction of Interleaved Reed-Solomon Codes.

To appear in Proceedings of ISIT'19, Eleonora Guerrini, Laurent Imbert, Theo Winterhalter. Randomized Mixed-Radix Scalar Transactions on Computers, Institute of Electrical and. 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. Groebner 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. Algebraic Aspects of Cryptography - Ebook written by Neal Koblitz. Read this book using Google Play Books app on your PC, android, iOS devices. Download for offline reading, highlight, bookmark or take notes while you read Algebraic Aspects of : Neal Koblitz.

The computation of Gröbner bases is a difficult task often encountered in cryptanalysis, the destructive aspect of cryptology. As a general rule, such difficult tasks can be reused constructively, as foundations for new cryptosystems.

However, for the specific case of the computations of Gröbner bases, this general rule has been challenged [1]. Gröbner Bases Techniques in Post-Quantum Cryptography A major tool to evaluate the security of post-quantum schemes Multivariate cryptography: intrinsic tool (Jintai’s talk) Code-based cryptography: emerging tool for key-recovery.

J.-C. Faugère, A. Otmani, L. P., J.-P. Tillich. Algebraic Cryptanalysis of McEliece Variants with Compact Size: 1MB.Jean-Charles Faugère, (Talk given by C Eder) GBRELA Workshop Hagenberg, Austria September 03 06, Jean-Charles Faugère. Solving efficiently structured polynomial systems and Applications in Cryptology, The 15th workshop on Elliptic Curve Cryptography ECC Nancy (Sep ).; Jean-Charles Faugère.

Gröbner Bases and Linear Algebra, SIAM .This collection of tutorial and research papers introduces readers to diverse areas of modern pure and applied algebraic combinatorics and finite geometries with a special emphasis on algorithmic aspects and the use of the theory of Gröbner bases.

Topics covered include coherent.