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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

12th International Symposium, AAECC-12, Toulouse, France, June, 23-27, 1997, Proceedings

  • Conference proceedings
  • © 1997

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Editors:
  1. Teo Mora
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  2. Harold Mattson
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Part of the book series: Lecture Notes in Computer Science (LNCS, volume 1255)

Included in the following conference series:

Conference proceedings info: AAECC 1997.

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Table of contents (27 papers)

  1. Front Matter

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  2. Minimun distance decoding algorithms for linear codes

    • Alexander Barg
    Pages 1-14

  3. Efficient multivariate factorization over finite fields

    • Laurent Bernardin, Michael B. Monagan
    Pages 15-28

  4. On maximal codes in polynomial metric spaces

    • Peter Boyvalenkov, Danyo Danev
    Pages 29-38

  5. Yet another ideal decomposition algorithm

    • Massimo Caboara, Pasqualina Conti, Carlo Traverse
    Pages 39-54

  6. A resultant theory for ordinary algebraic differential equations

    • Giuseppa Carra' Ferro
    Pages 55-65

  7. The symmetry group of ℤ n q in the Lee space and the ℤ q n-linear codes

    • Sueli Rodrigues Costa, João Roberto Gerônimo, Reginaldo Palazzo Jr., J. Carmelo Interlando, Marcelo Muniz Silva Alves
    Pages 66-77

  8. On repeated-root cyclic codes and the two-way chain condition

    • Sylvia Encheva
    Pages 78-87

  9. Exponentiation in finite fields: Theory and practice

    • Joachim von zur Gathen, Michael Nöcker
    Pages 88-113

  10. Computing minimum-link path in a homotopy class amidst semi-algebraic obstacles in the plane

    • D. Grigoriev, A. Slissenko
    Pages 114-129

  11. Certain self-dual codes over ℤ4 and the odd Leech lattice

    • T. Aaron Gulliver, Masaaki Harada
    Pages 130-137

  12. Order functions and evaluation codes

    • Tom Høholdt, Jacobus H. van Lint, Ruud Pellikaan
    Pages 138-150

  13. Codes from cocycles

    • K. J. Horadam, A. A. I. Perera
    Pages 151-163

  14. A brief tour of split linear programming

    • David B. Jaffe
    Pages 164-173

  15. Elementary approximation of exponentials of Lie polynomials

    • Frédéric Jean, Pierre-Vincent Koseleff
    Pages 174-188

  16. On the q-ary image of cyclic codes

    • Jørn M. Jensen
    Pages 189-196

  17. The split weight (w L , w R ) enumeration of Reed-Muller codes for w L +w R <2d min

    • Tadao Kasami, Tsukasa Sugita, Toru Fujiwara
    Pages 197-211

  18. Optimal linear codes of dimension 4 over GF(5)

    • Ivan N. Landjev
    Pages 212-220

  19. Characterisations of lexicographic sets and simply-connected Hilbert schemes

    • Daniel Mall
    Pages 221-236

  20. An iterative probabilistic decoding algorithm for binary linear block codes beyond the half minimum distance

    • Miodrag J. Mihaljević
    Pages 237-249
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About this book

This book constitutes the strictly refereed proceedings of the 12th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-12, held in Toulouse, France, June 1997.
The 27 revised full papers presented were carefully selected by the program committee for inclusion in the volume. The papers address a broad range of current issues in coding theory and computer algebra spanning polynomials, factorization, commutative algebra, real geometry, group theory, etc. on the mathematical side as well as software systems, telecommunication, complexity theory, compression, signal processing, etc. on the computer science and engineering side.

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