Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

14th International Symposium, AAECC-14 Melbourne, Australia, November 26–30, 2001 Proceedings

Editors:

ISBN: 978-3-540-42911-1 (Print) 978-3-540-45624-7 (Online)

Table of contents (40 chapters)

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  1. Front Matter

    Pages I-XII

  2. Invited Contributions

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      Pages 1-12

      The Ubiquity of Reed-Muller Codes

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      Pages 13-21

      Self-dual Codes-Theme and Variations

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      Pages 22-35

      Design of Differential Space-Time Codes Using Group Theory

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      Pages 36-45

      Ideal Error-Correcting Codes: Unifying Algebraic and Number-Theoretic Algorithms

  3. Block Codes

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      Pages 46-56

      Self-dual Codes Using Image Restoration Techniques

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      Pages 57-66

      Low Complexity Tail-Biting Trellises of Self-dual codes of Length 24, 32 and 40 over GF(2) and Z4 of Large Minimum Distance

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      Pages 67-76

      F q -Linear Cyclic Codes over F q m: DFT Characterization

  4. Code Constructions

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      Pages 77-81

      Cyclic Projective Reed-Muller Codes

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      Pages 82-91

      Codes Identifying Sets of Vertices

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      Pages 92-101

      Duality and Greedy Weights of Linear Codes and Projective Multisets

  5. Codes and Algebra:Rings and Fields

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      Pages 102-111

      Type II Codes over IF2r

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      Pages 112-121

      On Senary Simplex Codes

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      Pages 122-128

      Optimal Double Circulant Z4-Codes

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      Pages 129-140

      Constructions of Codes from Number Fields

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      Pages 141-150

      On Generalized Hamming Weights for Codes over Finite Chain Rings

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      Pages 151-158

      Information Rates and Weights of Codes in Structural Matrix Rings

  6. Codes and Algebra:Algebraic Geometry Codes

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      Pages 159-171

      On Hyperbolic Codes

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      Pages 172-181

      On Fast Interpolation Method for Guruswami-Sudan List Decoding of One-Point Algebraic-Geometry Codes

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      Pages 182-191

      Computing the Genus of a Class of Curves

  7. Sequences

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      Pages 192-199

      Iterations of Multivariate Polynomials and Discrepancy of Pseudorandom Numbers

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