Gröbner bases, coding, and cryptography
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 application...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| مؤلفون آخرون: | , , , |
| التنسيق: | Livre numérique |
| اللغة: | Anglais |
| منشور في: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| الطبعة: | 1st ed. 2009. |
| الموضوعات: | |
| الوصول للمادة أونلاين: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| ملاحظة: |
L'impression du document génère XVI-430 p. Autres contributeurs : Shojiro Sakata, Calo Traverso (editeur) Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Gröbner bases, coding, and cryptography, Massimiliano Sala, Teo Mora, Ludovic Perret, [et al.], editors, 2009, Berlin, Springer, RISC, 1 vol. (XVI-430 p.), 978-3-540-93805-7 |
جدول المحتويات:
- 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