Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

17th International Symposium, AAECC-17, Bangalore, India, December 16-20, 2007, Proceedings

By: Serdar Boztas (Editor), Hsiao-feng Lu (Editor)

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Paperback | 30 November 2007

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This book constitutes the refereed proceedings of the 17th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-17, held in Bangalore, India, in December 2007. Among the subjects addressed are block codes, including list-decoding algorithms; algebra and codes: rings, fields, algebraic geometry codes; algebra: rings and fields, polynomials, permutations, lattices; cryptography: cryptanalysis and complexity; computational algebra.

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Invited Contributions
List Decoding and Pseudorandom Constructions	p. 1
A Survey of Recent Attacks on the Filter Generator	p. 7
Iterative List Decoding of LDPC Codes	p. 18
Inverted Edwards Coordinates	p. 20
Spectra of Boolean Functions, Subspaces of Matrices, and Going Up Versus Going Down	p. 28
Efficient List Decoding of Explicit Codes with Optimal Redundancy	p. 38
Algebraic Structure Theory of Tail-Biting Trellises	p. 47
Nice Codes from Nice Curves	p. 48
Regular Contributions
Generalized Sudan's List Decoding for Order Domain Codes	p. 50
Bent Functions and Codes with Low Peak-to-Average Power Ratio for Multi-Code CDMA	p. 60
Determining the Nonlinearity of a New Family of APN Functions	p. 72
An Improvement of Tardos's Collusion-Secure Fingerprinting Codes with Very Short Lengths	p. 80
Space-Time Codes from Crossed Product Algebras of Degree 4	p. 90
On Non-randomness of the Permutation After RC4 Key Scheduling	p. 100
Correctable Errors of Weight Half the Minimum Distance Plus One for the First-Order Reed-Muller Codes	p. 110
Fault-Tolerant Finite Field Computation in the Public Key Cryptosystems	p. 120
A Note on a Class of Quadratic Permutations over F[subscript 2 superscript n]	p. 130
Constructions of Orthonormal Lattices and Quaternion Division Algebras for Totally Real Number Fields	p. 138
Quaternary Plotkin Constructions and Quaternary Reed-Muller Codes	p. 148
Joint Source-Cryptographic-Channel Coding Based on Linear Block Codes	p. 158
On the Key-Privacy Issue of McEliece Public-Key Encryption	p. 168
Lattices for Distributed Source Coding: Jointly Gaussian Sources and Reconstruction of a Linear Function	p. 178
Linear Complexity and Autocorrelation of Prime Cube Sequences	p. 188
The "Art of Trellis Decoding" Is NP-Hard	p. 198
On the Structure of Inversive Pseudorandom Number Generators	p. 208
Subcodes of Reed-Solomon Codes Suitable for Soft Decoding	p. 217
Normalized Minimum Determinant Calculation for Multi-block and Asymmetric Space-Time Codes	p. 227
On the Computation of Non-uniform Input for List Decoding on Bezerra-Garcia Tower	p. 237
Dense MIMO Matrix Lattices-A Meeting Point for Class Field Theory and Invariant Theory	p. 247
Secure Cross-Realm Client-to-Client Password-Based Authenticated Key Exchange Against Undetectable On-Line Dictionary Attacks	p. 257
Links Between Discriminating and Identifying Codes in the Binary Hamming Space	p. 267
Construction of Rotation Symmetric Boolean Functions on Odd Number of Variables with Maximum Algebraic Immunity	p. 271
A Path to Hadamard Matrices	p. 281
The Tangent FFT	p. 291
Novel Algebraic Structure for Cyclic Codes	p. 301
Distribution of Trace Values and Two-Weight, Self-orthogonal Codes over GF(p, 2)	p. 311
Generalized Rotation Symmetric and Dihedral Symmetric Boolean Functions -9 Variable Boolean Functions with Nonlinearity 242	p. 321
On Quasi-cyclic Codes over Integer Residue Rings	p. 330
Extended Norm-Trace Codes with Optimized Correction Capability	p. 337
On Generalized Hamming Weights and the Covering Radius of Linear Codes	p. 347
Homomorphic Encryptions of Sums of Groups	p. 357
Author Index	p. 367
Table of Contents provided by Ingram. All Rights Reserved.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

17th International Symposium, AAECC-17, Bangalore, India, December 16-20, 2007, Proceedings

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