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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 14th International Symposium, Aaecc-14, Melbourne, Australia, November 26-30, 2001.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 14th International Symposium, Aaecc-14, Melbourne, Australia, November 26-30, 2001.

Paperback

Series: Lecture Notes in Computer Science, Book 2227

General ComputersGeneral Mathematics

ISBN10: 3540429115
ISBN13: 9783540429111
Publisher: Springer Nature
Published: Nov 12 2001
Pages: 404
Weight: 2.11
Height: 0.85 Width: 8.50 Depth: 11.00
Language: English
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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