Applied algebra, algebraic algorithms, and error-correcting codes : 14th international symposium, AAECC-14, Melbourne, Australia, November 26-30, 2001 : proceedings

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 14th International Symposium, AAECC-14 Melbourne, Australia, November 26–30, 2001 Proceedings
Author: Serdar Boztaş, Igor E. Shparlinski
Published by Springer Berlin Heidelberg
ISBN: 978-3-540-42911-1
DOI: 10.1007/3-540-45624-4

Table of Contents:

• The Ubiquity of Reed-Muller Codes
• Self-dual Codes-Theme and Variations
• Design of Differential Space-Time Codes Using Group Theory
• Ideal Error-Correcting Codes: Unifying Algebraic and Number-Theoretic Algorithms
• Self-dual Codes Using Image Restoration Techniques
• Low Complexity Tail-Biting Trellises of Self-dual codes of Length 24, 32 and 40 over GF(2) and Z4 of Large Minimum Distance
• F
• Cyclic Projective Reed-Muller Codes
• Codes Identifying Sets of Vertices
• Duality and Greedy Weights of Linear Codes and Projective Multisets
• Type II Codes over IF2r
• On Senary Simplex Codes
• Optimal Double Circulant Z4-Codes
• Constructions of Codes from Number Fields
• On Generalized Hamming Weights for Codes over Finite Chain Rings
• Information Rates and Weights of Codes in Structural Matrix Rings
• On Hyperbolic Codes
• On Fast Interpolation Method for Guruswami-Sudan List Decoding of One-Point Algebraic-Geometry Codes
• Computing the Genus of a Class of Curves
• Iterations of Multivariate Polynomials and Discrepancy of Pseudorandom Numbers

Includes bibliographical references and index