Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 11th International Symposium, AAECC-11, Paris, France, July 17-22, 1995. Proceedings / Edition 1

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This book constitutes the proceedings of the 11th International Conference on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-11, held in Paris, France in July 1995.
The volume presents five invited papers and 32 full revised research papers selected from a total of 68 submissions; it is focussed on research directed to the exploitation of algebraic techniques and methodologies for the application in coding and computer algebra. Among the topics covered are coding, cryptoloy, communication, factorization of polynomials, Gröbner bases, computer algebra, algebraic algorithms, symbolic computation, algebraic manipulation.

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Product Details

  • ISBN-13: 9783540601142
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 8/8/1995
  • Series: Lecture Notes in Computer Science Series, #948
  • Edition description: 1995
  • Edition number: 1
  • Pages: 484
  • Product dimensions: 9.21 (w) x 6.14 (h) x 1.02 (d)

Table of Contents

Supports of a Code 1
Chemical Isomerism, a Challenge for Algebraic Combinatorics and for Computer Science 4
On Algebraic Methods in Covering Radius Problems 21
How Lower and Upper Complexity Bounds Meet in Elimination Theory 33
Bivariate Polynomial Multiplication Patterns 70
Division of Entire Functions by Polynomial Ideals 82
Variations on Minimal Codewords in Linear Codes 96
On the Computation of the Radical of Polynomial Complete Intersection Ideals 106
Which Families of Long Binary Linear Codes Have a Binomial Weight Distribution? 120
The Discovery of Simple 7-Designs with Automorphism Group P[gamma]L(2,32) 131
Fast Exponentation in Cryptography 146
On Maximal Spherical Codes I 158
Formal Computation of Galois Groups with Relative Resolvents 169
A Case of Automatic Theorem Proving in Euclidean Geometry: the Maclane 8[subscript 3] Theorem 183
Isometry Classes of Indecomposable Linear Codes 194
When Polynomial Equation Systems Can Be "Solved" Fast? 205
Using Symmetric Functions to Describe the Solution Set of a Zero Dimensional Ideal 232
Triangular Systems and Factorized Grobner Bases 248
Computation in Algebraic Function Fields for Effective Construction of Algebraic-Geometric Codes 262
Singly-Even Self-Dual Codes and Hadamard Matrices 279
Implicitization of Curves Parameterized by Generalized Trigonometric Polynomials 285
Randomness Properties of Partial [gamma]-[beta] Planes as LSI Test Inputs and their Implementations 297
Mixed Covering Codes with Two Binary and Four Ternary Coordinates 312
About Approximations of Exponentials 323
A Note on Normal Bases 334
On the Covering Radius of Long Goppa Codes 341
Integration of Multivariate Rational Functions Given by Straight-Line Programs 347
Polynomial Gcd Computations over Towers of Algebraic Extensions 365
Displacements of Matrix Products 383
Testing Identities of Series Defined by Algebraic Partial Differential Equations 393
The Complexity of Formal Resolution of Linear Partial Differential Equations 408
A Fast Parallel Implementation of the Berlekamp-Massey Algorithm with a One-D Systolic Array Architecture 415
Tomography of Constructible Functions 427
On the Determination of Formal Solutions of a System of Partial Differential Equations 436
D[subscript 4], E[subscript 6], E[subscript 8] and the AGM 448
Computation of the Galois Groups of the Resolvent Factors for the Direct and Inverse Galois Problems 456
First Integrals and Darboux Polynomials of Homogeneous Linear Differential Systems 469
Authors' Index 485
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