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Applied algebra, algebraic algorithms, and error-correcting codes : 9th International Symposium, AAECC-9, New Orleans, LA, USA, October 7-11, 1991 : proceedings

Author: H F Mattson; Teo Mora; T R N Rao
Publisher: Berlin ; New York : Springer-Verlag, ©1991.
Series: Lecture notes in computer science, 539.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
The AAECC conferences focus on the algebraic aspects of modern computer science, which includes the most up-to-date and advanced topics. The topic of error-correcting codes is one where theory and implementation are unifiedinto a subject both of mathematical beauty and of practical importance. Algebraic algorithms are not only interesting theoretically but also important in computer and communication engineering and  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
AAECC-9 (1991 : New Orleans, La.).
Applied algebra, algebraic algorithms, and error-correcting codes.
Berlin ; New York : Springer-Verlag, ©1991
(DLC) 91029162
(OCoLC)24377535
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: H F Mattson; Teo Mora; T R N Rao
ISBN: 9783540384366 3540384367
OCLC Number: 321287990
Description: 1 online resource (xi, 488 pages) : illustrations.
Contents: Algorithms for the shape of semialgebraic sets a new approach.- On the parameters of algebraic geometric codes.- On wiedemann's method of solving sparse linear systems.- Fast algorithms for decoding orthogonal and related codes.- Jacobian matrices and constructions in algebra.- Homogenity, pseudo-homogenity, and Groebner basis computations.- Arithmetic on non supersingular elliptic curves.- Implementing some algorithms of kantor.- Computing roadmaps of general semi-algebraic sets.- An improved sign determination algorithm.- The 2-nd generalized Hamming weight of double-error correcting binary BCH codes and their dual codes.- Buchberger algorithm and integer programming.- New systolic architectures for cyclic code encoding.- Algebraic constructions of efficient broadcast networks.- Error-correction for WIMs and WUMs.- Some constructions in rings of differential polynomials.- Concurrent error detection in sequential circuits using convolutional codes.- An algorithm for the computation of the radical of an ideal in the ring of polynomials.- Integer multiplication in PARSAC-2 on stock microprocessors.- Polynomial-time construction of spherical codes.- Algorithms for a multiple algebraic extension II.- On the orphans and covering radius of the reed-muller codes.- A joint authentication and encryption scheme based on algebraic coding theory.- Arithmetic codes - Survey, recent and new results.- Some results on linear unequal-error-protection codes specified by their generator matrix.- An ackermannian polynomial ideal.- Complexity of the computation of the canonical Whitney stratification of an algebraic set in Cn.- Some undecidability results for weakly confluent monadic string-rewriting systems.- Calculating multidimensional symmetric functions using Jacobi's formula.- Multivariate Sturm theory.- Binary spherical geometric codes.- An algebraic construction of generalized Beenker's codes.- Improving the time complexity of the computation of irreducible and primitive polynomials in finite fields.- Completely transitive codes and distance transitive graphs.- Placement of curved polygons.- On the weights of the elements of the duals of binary BCH codes.- Computation of the openness of some loci of modules.- Random and byte error correcting codes for asymmetric or unidirectional error control.- Finding a minimal polynomial vector set of a vector of nD arrays.- Covering codes and combinatorial optimization.- Decoding of quadrature partial response- trellis coded signals (QPR-TCM) in the presence of intersymbol interference and noise.- On algebraic solutions of linear differential equations with primitive unimodular Galois group.- Error detection and correction in numerical computations.- d-Functions in V k (F 2) and self-decimation of m-sequences.- Multilevel modulation codes for rayleigh fading channels.
Series Title: Lecture notes in computer science, 539.
Responsibility: H.F. Mattson, T. Mora, T.R.N. Rao (eds.).

Abstract:

The AAECC conferences focus on the algebraic aspects ofmodern computer science, which includes the most up-to-dateand advanced topics.Researchers from Europe, America, Japan and other regions  Read more...

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