Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Invited Contributions.- 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.- Block Codes.- 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 q -Linear Cyclic Codes over F q m: DFT Characterization.- Code Constructions.- Cyclic Projective Reed-Muller Codes.- Codes Identifying Sets of Vertices.- Duality and Greedy Weights of Linear Codes and Projective Multisets.- Codes and Algebra:Rings and Fields.- 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.- Codes and Algebra:Algebraic Geometry Codes.- 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.- Sequences.- Iterations of Multivariate Polynomials and Discrepancy of Pseudorandom Numbers.- Even Length Binary Sequence Families with Low Negaperiodic Autocorrelation.- On the Non-existence of (Almost-)Perfect Quaternary Sequences.- Maximal Periods of x2 + c in Fq.- On the Aperiodic Correlation Function of Galois Ring m-Sequences.- Euclidean Modules and Multisequence Synthesis.- Cryptography.- On Homogeneous Bent Functions.- Partially Identifying Codes for Copyright Protection.- On the Generalised Hidden Number Problem and Bit Security of XTR.- CRYPTIM: Graphs as Tools for Symmetric Encryption.- Algorithms.- An Algorithm for Computing Cocyclic Matrices Developed over Some Semidirect Products.- Algorithms for Large Integer Matrix Problems.- On the Identification of Vertices and Edges Using Cycles.- Algorithms:Decoding.- On Algebraic Soft Decision Decoding of Cyclic Binary Codes.- Lifting Decoding Schemes over a Galois Ring.- Sufficient Conditions on Most Likely Local Sub-codewords in Recursive Maximum Likelihood Decoding Algorithms.- A Unifying System-Theoretic Framework for Errors-and-Erasures Reed-Solomon Decoding.- An Algorithm for Computing Rejection Probability of MLD with Threshold Test over BSC.- Algebraic Constructions.- Cartan's Characters and Stairs of Characteristic Sets.- On the Invariants of the Quotients of the Jacobian of a Curve of Genus 2.- Algebraic Constructions for PSK Space-Time Coded Modulation.