Download E-books Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 14th International Symposium, AAECC-14 Melbourne, Australia, November 26–30, 2001 Proceedings PDF

By James L. Massey (auth.), Serdar Boztaş, Igor E. Shparlinski (eds.)

The AAECC Symposia sequence was once begun in 1983 by way of Alain Poli (Toulouse), who, including R. Desq, D. Lazard, and P. Camion, equipped the ?rst convention. initially the acronym AAECC intended “Applied Algebra and Error-Correcting Codes”. through the years its that means has shifted to “Applied Algebra, Algebraic Algorithms, and Error-Correcting Codes”, re?ecting the transforming into value of complexity in either interpreting algorithms and computational algebra. AAECC goals to inspire cross-fertilization among algebraic equipment and their functions in computing and communications. The algebraic orientation is in the direction of ?nite ?elds, complexity, polynomials, and graphs. The functions orientation is in the direction of either theoretical and useful error-correction coding, and, for the reason that AAECC thirteen (Hawaii, 1999), in the direction of cryptography. AAECC was once the ?rst symposium with papers connecting Gr¨obner bases with E-C codes. The stability among theoretical and functional is meant to shift frequently; at AAECC-14 the focal point used to be at the theoretical part. the most topics lined have been: – Codes: iterative interpreting, interpreting tools, block codes, code development. – Codes and algebra: algebraic curves, Gr¨obner bases, and AG codes. – Algebra: jewelry and ?elds, polynomials. – Codes and combinatorics: graphs and matrices, designs, mathematics. – Cryptography. – Computational algebra: algebraic algorithms. – Sequences for communications.

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