Eurocode ’92

1. Front Matter

   Pages ii-xi

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2. Algebraic Coding Theory

   1. Front Matter

      Pages 1-1

      PDF

   2. Duadic Codes and Generalizations

      • V. Pless

      Pages 3-15

   3. Coset Weight Enumerators of the Extremal Self-Dual Binary Codes of Length 32

      • P. Camion, B. Courteau, A. Monpetit

      Pages 17-29

   4. Zeta Functions of Some Curves and Minimal Exponent for Pellikaan’s Decoding Algorithm of Algebraic-Geometric Codes

      • Ph. Carbonne, A. Thiong Ly

      Pages 31-41

   5. On Weighted Coverings and Packings with Diameter One

      • G. D. Cohen, I. S. Honkala, S. N. Litsyn

      Pages 43-49

   6. On Duals of Binary Primitive BCH Codes

      • F. Levy-dit-Vehel

      Pages 51-63

   7. Construction of the Best Binary Cyclic Codes of Even Length

      • J.-P. Martin

      Pages 65-76

   8. Self-Dual and Decomposable Geometric Goppa Codes

      • C. Munuera, R. Pellikaan

      Pages 77-87

   9. On a Conjecture of Macwilliams and Sloane

      • F. Rodier

      Pages 89-95

   10. A Characterization of the q-Ary Images of qm-Ary Cyclic Codes

       • G. E. Séguin, I. Woungang

       Pages 97-106

   11. Weights of Primitive Binary Cyclic Codes from Non-Primitive Codes

       • J. Wolfmann

       Pages 107-117

3. Mathematical Tools for Coding

   1. Front Matter

      Pages 119-119

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   2. Boolean Functions on Finite Fields of Characteristic 2

      • C. Carlet

      Pages 121-133

   3. Bound for Trace-Equation and Application to Coding Theory

      • V. Gillot

      Pages 135-146

   4. On Generalized Bent Functions

      • P. Langevin

      Pages 147-152

   5. Bounds for Self-Complementary Codes and Their Applications

      • V. I. Levenshtein

      Pages 159-171

4. Cryptography

   1. Front Matter

      Pages 173-173

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   2. Asymptotic Analysis of Probabilistic Algorithms for Finding Short Codewords

      • F. Chabaud

      Pages 175-183

   3. Rational Interval Maps and Cryptography

      • S. Harari, P. Liardet

      Pages 185-200

This book is made of the proceedings of EUROCODE 1992 which was held in Udine (Italy) at the CISM, October 27 - 30, 1992. EUROCODE ’92 is a continuation as well as an extension of the previous colloquia Trois Journèes sur le codage and EUROCODE ’90, whose proceedings appeared as Lecture Notes in Computer Science (Volumes 388 and 514). The aim of EUROCODE ’92 was to attract high level research papers and to encourage interchange of ideas among the areas of coding theory and related fields which share the same tools for applications in the science of communications, theoretical computer science, software engineering and mathematics. Then the book is characterized by a very broad spectrum, ranging from combinatories or algebraic geometry to implementation of coding algorithms. There were about 90 participants to the conference, from the academic and industrial worlds; 53 conferences were selected. The submitted full-papers were separately refereed for publication by at least two international referees.

• algebra
• algorithms
• coding
• coding theory
• communication
• computer science
• Extension
• geometry
• mathematics
• theoretical computer science
• algorithm analysis and problem complexity
• combinatorics

• INRIA — Rocquencourt, France

  P. Camion, P. Charpin

• University of Toulon and Var — La Garde, France

  S. Harari

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