Pierre L’Ecuyer (auth.), Solomon W. Golomb, Matthew G. Parker, Alexander Pott, Arne Winterhof (eds.)354085911X, 9783540859116
This book constitutes the refereed proceedings of the 5th International Conference on Sequences and Their Applications, SETA 2008, held in Lexington, KY, USA in September 2008.
The 32 revised full papers presented were carefully reviewed and selected. The papers are organized in topical sections on probabilistic methods and randomness properties of sequences; correlation; combinatorial and algebraic foundations; security aspects of sequences; algorithms; correlation of sequences over rings; nonlinear functions over finite fields.
Table of contents :
Front Matter….Pages –
Comparison of Point Sets and Sequences for Quasi-Monte Carlo and for Random Number Generation….Pages 1-17
On Independence and Sensitivity of Statistical Randomness Tests….Pages 18-29
New Distinguishers Based on Random Mappings against Stream Ciphers….Pages 30-41
A Probabilistic Approach on Estimating the Number of Modular Sonar Sequences….Pages 42-50
A Study on the Pseudorandom Properties of Sequences Generated Via the Additive Order….Pages 51-59
On the Average Distribution of Power Residues and Primitive Elements in Inversive and Nonlinear Recurring Sequences….Pages 60-70
Some Results on the Arithmetic Correlation of Sequences….Pages 71-80
A Class of Nonbinary Codes and Sequence Families….Pages 81-94
Results on the Crosscorrelation and Autocorrelation of Sequences….Pages 95-105
m -Sequences of Lengths 2 2k − 1 and 2 k − 1 with at Most Four-Valued Cross Correlation….Pages 106-120
On the Correlation Distribution of Kerdock Sequences….Pages 121-129
Two New Families of Low-Correlation Interleaved QAM Sequences….Pages 130-141
The Combinatorics of Differentiation….Pages 142-152
Group Representation Design of Digital Signals and Sequences….Pages 153-166
Projective de Bruijn Sequences….Pages 167-174
Multiplicative Character Sums of Recurring Sequences with Rédei Functions….Pages 175-181
On the Connection between Kloosterman Sums and Elliptic Curves….Pages 182-187
A Class of Optimal Frequency Hopping Sequences Based upon the Theory of Power Residues….Pages 188-196
Sequences, DFT and Resistance against Fast Algebraic Attacks….Pages 197-218
Expected π -Adic Security Measures of Sequences….Pages 219-229
Distance-Avoiding Sequences for Extremely Low-Bandwidth Authentication….Pages 230-238
On the Number of Linearly Independent Equations Generated by XL….Pages 239-251
2 n -Periodic Binary Sequences with Fixed k -Error Linear Complexity for k = 2 or 3….Pages 252-265
Generalized Joint Linear Complexity of Linear Recurring Multisequences….Pages 266-277
A Lattice-Based Minimal Partial Realization Algorithm….Pages 278-289
A Fast Jump Ahead Algorithm for Linear Recurrences in a Polynomial Space….Pages 290-298
Parallel Generation of ℓ-Sequences….Pages 299-312
Design of M -Ary Low Correlation Zone Sequence Sets by Interleaving….Pages 313-321
The Peak to Sidelobe Level of the Most Significant Bit of Trace Codes over Galois Rings….Pages 322-331
On Partial Correlations of Various Z 4 Sequence Families….Pages 332-344
On the Higher Order Nonlinearities of Boolean Functions and S-Boxes, and Their Generalizations….Pages 345-367
On a Class of Permutation Polynomials over $mathbb{F}_{2^n}$ ….Pages 368-376
On 3-to-1 and Power APN S-Boxes….Pages 377-389
Negabent Functions in the Maiorana–McFarland Class….Pages 390-402
New Perfect Nonlinear Multinomials over F $_{p^{2k}}$ for Any Odd Prime p ….Pages 403-414
A New Tool for Assurance of Perfect Nonlinearity….Pages 415-419
Back Matter….Pages –
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