Applied Algebra, Algebraic Algorithms and Error-Correcting Codes [electronic resource] : 14th International Symposium, AAECC-14 Melbourne, Australia, November 26–30, 2001 Proceedings /

The AAECC Symposia Series was started in 1983 by Alain Poli (Toulouse), who, together with R. Desq, D. Lazard, and P. Camion, organized the ?rst conference. Originally the acronym AAECC meant “Applied Algebra and Error-Correcting Codes”. Over the years its meaning has shifted to “Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes”, re?ecting the growing importance of complexity in both decoding algorithms and computational algebra. AAECC aims to encourage cross-fertilization between algebraic methods and their applications in computing and communications. The algebraic orientation is towards ?nite ?elds, complexity, polynomials, and graphs. The applications orientation is towards both theoretical and practical error-correction coding, and, since AAECC 13 (Hawaii, 1999), towards cryptography. AAECC was the ?rst symposium with papers connecting Gr¨obner bases with E-C codes. The balance between theoretical and practical is intended to shift regularly; at AAECC-14 the focus was on the theoretical side. The main subjects covered were: – Codes: iterative decoding, decoding methods, block codes, code construction. – Codes and algebra: algebraic curves, Gr¨obner bases, and AG codes. – Algebra: rings and ?elds, polynomials. – Codes and combinatorics: graphs and matrices, designs, arithmetic. – Cryptography. – Computational algebra: algebraic algorithms. – Sequences for communications.

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Bibliographic Details
Main Authors: Boztaş, Serdar. editor., Shparlinski, Igor E. editor., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2001
Subjects:Mathematics., Data encryption (Computer science)., Coding theory., Algorithms., Computer science, Algebra., Computer mathematics., Coding and Information Theory., Symbolic and Algebraic Manipulation., Data Encryption., Algorithm Analysis and Problem Complexity., Computational Mathematics and Numerical Analysis.,
Online Access:http://dx.doi.org/10.1007/3-540-45624-4
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