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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

  • Conference proceedings
  • © 1991

Overview

Editors:
  1. Harold F. Mattson
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  2. Teo Mora
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  3. T. R. N. Rao
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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 539)

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Table of contents (45 papers)

  1. Front Matter

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  2. Algorithms for the shape of semialgebraic sets a new approach

    • Paola Cellini, Patrizia Gianni, Carlo Traverso
    Pages 1-18

  3. On the parameters of algebraic geometric codes

    • H. Janwa
    Pages 19-28

  4. On wiedemann's method of solving sparse linear systems

    • Erich Kaltofen, B. David Saunders
    Pages 29-38

  5. Fast algorithms for decoding orthogonal and related codes

    • Simon N. Litsyn
    Pages 39-47

  6. Jacobian matrices and constructions in algebra

    • Wolmer V. Vasconcelos
    Pages 48-64

  7. Homogenity, pseudo-homogenity, and Gröbner basis computations

    • Thomas Becker
    Pages 65-73

  8. Arithmetic on non supersingular elliptic curves

    • T. Beth, F. Schaefer
    Pages 74-81

  9. Implementing some algorithms of kantor

    • Greg Butler
    Pages 82-93

  10. Computing roadmaps of general semi-algebraic sets

    • J. F. Canny
    Pages 94-107

  11. An improved sign determination algorithm

    • J. F. Canny
    Pages 108-117

  12. The 2-nd generalized Hamming weight of double-error correcting binary BCH codes and their dual codes

    • Habong Chung
    Pages 118-129

  13. Buchberger algorithm and integer programming

    • Pasqualina Conti, Carlo Traverso
    Pages 130-139

  14. New systolic architectures for cyclic code encoding

    • Menouer Diab
    Pages 140-151

  15. Algebraic constructions of efficient broadcast networks

    • Michael J. Dinneen, Michael R. Fellows, Vance Faber
    Pages 152-158

  16. Error-correction for WIMs and WUMs

    • C. van Eijl, G. Cohen, G. Zémor
    Pages 159-170

  17. Some constructions in rings of differential polynomials

    • Giovanni Gallo, Bhubaneswar Mishra, Francois Ollivier
    Pages 171-182

  18. Concurrent error detection in sequential circuits using convolutional codes

    • Lawrence P. Holmquist, L. L. Kinney
    Pages 183-194

  19. An algorithm for the computation of the radical of an ideal in the ring of polynomials

    • Teresa Krick, Alessandro Logar
    Pages 195-205

  20. Integer multiplication in PARSAC-2 on stock microprocessors

    • Wolfgang Kuechlin, David Lutz, Nicholas Nevin
    Pages 206-217
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About this book

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 many other fields. This volume contains the proceedings of the 9th AAECC conference, held in New Orleans, LA, in October 1991. Researchers from Europe, America, Japan and other regions of the world presented papers at the conference. The papers present new results of recent theoretical and application-oriented research in the field.

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