Sequences and Their Applications - SETA 2008: 5th International Conference Lexington, KY, USA, September 14-18, 2008 Proceedings

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 -