Applied Algebra, Algebraic Algorithms and Error-Correcting Codes [electronic resource] : 13th International Symposium, AAECC-13 Honolulu, Hawaii, USA, November 15-19, 1999 Proceedings / edited by Marc Fossorier, Hideki Imai, Shu Lin, Alain Poli.

1st ed. 1999.
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1999.
Computer Science (Springer-11645)
Lecture notes in computer science 0302-9743 ; 1719
Lecture Notes in Computer Science, 0302-9743 ; 1719
1 online resource (XIV, 518 pages)
Coding theory.
Information theory.
Computer science-Mathematics.
Data encryption (Computer science).
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Theory of Computation. (search)
Algebra. (search)
Coding and Information Theory. (search)
Symbolic and Algebraic Manipulation. (search)
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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, Gröbner bases and AG codes, and polynomials.
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 one rational place at infinit
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.
Fossorier, Marc. editor., Editor,
Imai, Hideki, editor., Editor,
Lin, Shu, editor., Editor,
Poli, Alain. editor., Editor,
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