Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

Invited Papers.- Codes on Graphs: A Survey for Algebraists.- RA Codes Achieve AWGN Channel Capacity.- Monomial Ideals and Planar Graphs.- A Fast Program Generator of Fast Fourier Transforms.- On Integer Programming Problems Related to Soft-Decision Iterative Decoding Algorithms.- Curves with Many Points and Their Applications.- Codes and Iterative Decoding.- New Sequences of Linear Time Erasure Codes Approaching the Channel Capacity.- On the Theory of Low-Density Convolutional Codes.- Combinatorics I: Arithmetic.- On the Distribution of Nonlinear Recursive Congruential Pseudorandom Numbers of Higher Orders.- A New Representation of Boolean Functions.- Combinatorics II: Graphs and Matrices.- An Algorithm to Compute a Nearest Point in the Lattice A n * .- Sequences from Cocycles.- Block Codes I.- On the Second Greedy Weight for Binary Linear Codes.- On the Size of Identifying Codes.- Algebra I: Rings and Fields.- Fast Quantum Fourier Transforms for a Class of Non-abelian Groups.- Linear Codes and Rings of Matrices.- On ?4-Simplex Codes and Their Gray Images.- Decoding Methods.- Some Results on Generalized Concatenation of Block Codes.- Near Optimal Decoding for TCM Using the BIVA and Trellis Shaping.- An Optimality Testing Algorithm for a Decoded Codeword of Binary Block Codes and Its Computational Complexity.- Algebra II.- Recursive MDS-Codes and Pseudogeometries.- Strength of ISTY1 without FL Function for Higher Order Differential Attack.- Code Construction.- Quantum Reed-Solomon Codes.- Capacity Bounds for the 3-Dimensional (0, 1) Runlength Limited Channel.- Rectangular Codes and Rectangular Algebra.- Codes and Algebra I: Algebraic Curves.- Decoding Hermitian Codes with Sudan's Algorithm.- Computing a Basis of on an affine algebraic curve with onerational place at infinit.- Cryptography.- Critical Noise for Convergence of Iterative Probabilistic Decoding with Belief Propagation in Cryptographic Applications.- An Authentication Scheme over Non-authentic Public Channel in Information-Theoretic Secret-Key Agreement.- Codes and Decoding.- A Systolic Array Architecture for Fast Decoding of One-Point AG Codes and Scheduling of Parallel Processing on It.- Convolutional Codes.- Computing Weight Distributions of Convolutional Codes Via Shift Register Synthesis.- Properties of Finite Response Input Sequences of Recursive Convolutional Codes.- Combinatorics III: Designs.- Lower Bounds for Group Covering Designs.- Characteristic Functions of Relative Difference Sets, Correlated Sequences and Hadamard Matrices.- Decoding of Block Codes.- Double Circulant Self-Dual Codes Using Finite-Field Wavelet Transforms.- Algebra III: Rings and Fields.- Linear Codes and Polylinear Recurrences over Finite Rings and Modules (A Survey).- Calculating Generators for Invariant Fields of Linear Algebraic Groups.- Constructing Elements of Large Order in Finite Fields.- Modulation and Codes.- New Lower Bounds on the Periodic Crosscorrelation of QAM Codes with Arbitrary Energy.- Conjectures on the Size of Constellations Constructed from Direct Sums of PSK Kernels.- Codes and Algebra II: Gröbner Bases and AG Codes.- A New Criterion for Normal Form Algorithms.- Discrete Fourier Transform and Gröbner Bases.- Block Codes II.- On the State Complexities of Ternary Codes.- Binary Optimal Linear Rate 1/2 Codes.- On Binary/Ternary Error-Correcting Codes with Minimum Distance 4.- Algebra IV: Polynomials.- The Euclidean Algorithm and Primitive Polynomials over Finite Fields.- On the Computational Hardness of Testing Square-Freeness of Sparse Polynomials.-Mastrovito Multiplier for General Irreducible Polynomials.