Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

16th International Symposium, AAECC-16, Las Vegas, NV, USA, February 20-24, 2006, Proceedings

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

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Paperback | 3 February 2006

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The 25 revised full papers presented here together with 7 invited papers address subjects such as block codes; algebra and codes: rings, fields, and AG codes; cryptography; sequences; decoding algorithms; and algebra: constructions in algebra, Galois groups, differential algebra, and polynomials.

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On bent and highly nonlinear balanced/resilient functions and their algebraic immunities	p. 1
On generalized parity checks	p. 29
Cryptography based on bilinear maps	p. 35
The merit factor problem for binary sequences	p. 51
Quantum period reconstruction of binary sequences	p. 60
The vector key equation and multisequence shift register synthesis	p. 68
A general framework for applying FGLM techniques to linear codes	p. 76
A theory of highly nonlinear functions	p. 87
The solutions of the third power sum equation for Niho type decimations	p. 101
On constructing AG codes without basis functions for Riemann-Roch spaces	p. 108
Computing Grobner bases for vanishing ideals of finite sets of points	p. 118
A class of fermat curves for which Weil-Serre's bound can be improved	p. 128
Nonbinary quantum codes from hermitian curves	p. 136
A genetic algorithm for cocyclic Hadamard matrices	p. 144
Unconditionally secure chaffing-and-winnowing : a relationship between encryption and authentication	p. 154
A fast calculus for the linearizing attack and its application to an attack on KASUMI	p. 163
On achieving chosen ciphertext security with decryption errors	p. 173
Applying Fujisaki-Okamoto to identity-based encryption	p. 183
A short random fingerprinting code against a small number of pirates	p. 193
A general formulation of algebraic and fast correlation attacks based on dedicated sample decimation	p. 203
Traitor tracing against powerful attacks using combinatorial designs	p. 215
New bounds on the capacity of multi-dimensional RLL-constrained systems	p. 225
LDPC codes for fading channels : two strategies	p. 235
Low-floor tanner codes via Hamming-node or RSCC-node doping	p. 245
Algebraic constructions of quasi-cyclic LDPC codes - part I : for AWGN and binary random erasure channels	p. 255
Algebraic construction of quasi-cyclic LDPC codes - part II : for AWGN and binary random and burst erasure channels	p. 265
New constructions of quasi-cyclic LDPC codes based on two classes of balanced incomplete block designs : for AWGN and binary erasure channels	p. 275
Long extended BCH codes are spanned by minimum weight words	p. 285
On the Feng-Rao bound for generalized Hamming weights	p. 295
Nested codes for constrained memory and for dirty paper	p. 307
Complementary sets and Reed-Muller codes for peak-to-average power ratio reduction in OFDM	p. 317
Hadamard codes of length 2[superscript t]s (s odd) : rank and kernel	p. 328
Table of Contents provided by Blackwell. All Rights Reserved.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes

16th International Symposium, AAECC-16, Las Vegas, NV, USA, February 20-24, 2006, Proceedings

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