Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

13th International Symposium, AAECC-13 Honolulu, Hawaii, USA, November 15-19, 1999 Proceedings

By: Marc Fossorier (Editor), Hideki Imai (Editor), Shu Lin (Editor)

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Paperback | 3 November 1999

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This book constitutes the refereed proceedings of the 19th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-13, held in Honolulu, Hawaii, USA in November 1999.
The 42 revised full papers presented together with six invited survey papers were carefully reviewed and selected from a total of 86 submissions. The papers are organized in sections on codes and iterative decoding, arithmetic, graphs and matrices, block codes, rings and fields, decoding methods, code construction, algebraic curves, cryptography, codes and decoding, convolutional codes, designs, decoding of block codes, modulation and codes, Grobner bases and AG codes, and polynomials.

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Invited Talks
Codes on Graphs: A Survey for Algebraists	p. 1
RA Codes Achieve AWGN Channel Capacity	p. 10
Monomial Ideals and Planar Graphs	p. 19
A Fast Program Generator of Fast Fourier Transforms	p. 29
On Integer Programming Problems Related to Soft-Decision Iterative Decoding Algorithms	p. 43
Curves with Many Points and Their Applications	p. 55
Codes and Iterative Decoding
New Sequences of Linear Time Erasure Codes Approaching the Channel Capacity	p. 65
On the Theory of Low-Density Convolutional Codes	p. 77
Combinatorics I: Arithmetic
On the Distribution of Nonlinear Recursive Congruential Pseudorandom Numbers of Higher Orders	p. 87
A New Representation of Boolean Functions	p. 94
Combinatorics II: Graphs and Matrices
An Algorithm to Compute a Nearest Point in the Lattice <$>A_n^{\ast}<$>	p. 104
Sequences from Cocycles	p. 121
Block Codes I
On the Second Greedy Weight for Binary Linear Codes	p. 131
On the Size of Identifying Codes	p. 142
Algebra I: Rings and Fields
Fast Quantum Fourier Transforms for a Class of Non-abelian Groups	p. 148
Linear Codes and Rings of Matrices	p. 160
On <$>{\op Z}_4<$>-Simplex Codes and Their Gray Images	p. 170
Decoding Methods
Some Results on Generalized Concatenation of Block Codes	p. 181
Near Optimal Decoding for TCM Using the BIVA and Trellis Shaping	p. 191
An Optimality Testing Algorithm for a Decoded Codeword of Binary BlockCodes and Its Computational Complexity	p. 201
Algebra II
Recursive MDS-Codes and Pseudogeometries	p. 211
Strength of MISTY1 without FL Function for Higher Order Differential Attack	p. 221
Code Construction
Quantum Reed-Solomon Codes	p. 231
Capacity Bounds for the 3-Dimensional (0,1) Runlength Limited Channel	p. 245
Rectangular Codes and Rectangular Algebra	p. 252
Codes and Algebra I: Algebraic Curves
Decoding Hermitian Codes with Sudan's Algorithm	p. 260
Computing a Basis of <$>\cal {L}<$>(D) on an Affine Algebraic Curve with One Rational Place at Infinity	p. 271
Cryptography
Critical Noise for Convergence of Iterative Probabilistic Decoding with Belief Propagation in Cryptographic Applications	p. 282
An Authentication Scheme over Non-authentic Public Channel in Information-Theoretic Secret-Key Agreement	p. 294
Codes and Decoding
A Systolic Array Architecture for Fast Decoding of One-Point AG Codesand Scheduling of Parallel Processing on It	p. 302
Convolutional Codes
Computing Weight Distributions of Convolutional Codes via Shift Register Synthesis	p. 314
Properties of Finite Response Input Sequences of Recursive Convolutional Codes	p. 324
Combinatorics III: Designs
Lower Bounds for Group Covering Designs	p. 334
Characteristic Functions of Relative Difference Sets, Correlated Sequences and Hadamard Matrices	p. 346
Decoding of Block Codes
Double Circulant Self-Dual Codes Using Finite-Field Wavelet Transforms	p. 355
Algebra III: Rings and Fields
Linear Codes and Polylinear Recurrences over Finite Rings and Modules (a Survey)	p. 365
Calculating Generators for Invariant Fields of Linear Algebraic Groups	p. 392
Constructing Elements of Large Order in Finite Fields	p. 404
Modulation and Codes
New Lower Bounds on the Periodic Crosscorrelation of QAM Codes with Arbitrary Energy	p. 410
Conjectures on the Size of Constellations Constructed from Direct Sums of PSK Kernels	p. 420
Codes and Algebra II: Gröbner Bases and AG Codes
A New Criterion for Normal Form Algorithms	p. 430
Discrete Fourier Transform and Gröbner Bases	p. 444
Block Codes II
On the State Complexities of Ternary Codes	p. 454
Binary Optimal Linear Rate 1/2 Codes	p. 462
On Binary/Ternary Error-Correcting Codes with Minimum Distance 4	p. 472
Algebra IV: Polynomials
The Euclidean Algorithm and Primitive Polynomials over Finite Fields	p. 482
On the Computational Hardness of Testing Square-Freeness of Sparse Polynomials	p. 492
Mastrovito Multiplier for General Irreducible Polynomials	p. 498
Author Index	p. 509
Table of Contents provided by Publisher. All Rights Reserved.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

13th International Symposium, AAECC-13 Honolulu, Hawaii, USA, November 15-19, 1999 Proceedings

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