Invited Papers.- Shift Register Sequences - A Retrospective Account.- The Probabilistic Theory of the Joint Linear Complexity of Multisequences.- Multi-Continued Fraction Algorithms and Their Applications to Sequences.- Codes for Optical CDMA.- Linear Complexity of Sequences.- On the Linear Complexity of Sidel'nikov Sequences over .- Linear Complexity over F p of Ternary Sidel'nikov Sequences.- Bounds on the Linear Complexity and the 1-Error Linear Complexity over F p of M-ary Sidel'nikov Sequences.- The Characterization of 2 n -Periodic Binary Sequences with Fixed 1-Error Linear Complexity.- Correlation of Sequences.- Crosscorrelation Properties of Binary Sequences with Ideal Two-Level Autocorrelation.- Extended Hadamard Equivalence.- Analysis of Designing Interleaved ZCZ Sequence Families.- Stream Ciphers and Transforms.- Security of Jump Controlled Sequence Generators for Stream Ciphers.- Improved Rijndael-Like S-Box and Its Transform Domain Analysis.- Topics in Complexities of Sequences.- Nonlinear Complexity of Binary Sequences and Connections with Lempel-Ziv Compression.- On Lempel-Ziv Complexity of Sequences.- Computing the k-Error N-Adic Complexity of a Sequence of Period p n .- On the Expected Value of the Joint 2-Adic Complexity of Periodic Binary Multisequences.- Linear/Nonlinear Feedback Shift Register Sequences.- On the Classification of Periodic Binary Sequences into Nonlinear Complexity Classes.- Sequences of Period 2 N -2.- A New Algorithm to Compute Remote Terms in Special Types of Characteristic Sequences.- Multi-sequence Synthesis.- Implementation of Multi-continued Fraction Algorithm and Application to Multi-sequence Linear Synthesis.- The Hausdorff Dimension of the Set of r-Perfect M-Multisequences.- Filtering Sequences and Pseudorandom Sequence Generators.- Lower Bounds on Sequence Complexity Via Generalised Vandermonde Determinants.- Construction of Pseudo-random Binary Sequences from Elliptic Curves by Using Discrete Logarithm.- On the Discrepancy and Linear Complexity of Some Counter-Dependent Recurrence Sequences.- Sequences and Combinatorics.- Nonexistence of a Kind of Generalized Perfect Binary Array.- FCSR Sequences.- On the Distinctness of Decimations of Generalized l-Sequences.- On FCSR Memory Sequences.- Periodicity and Distribution Properties of Combined FCSR Sequences.- Aperiodic Correlation and Applications.- Generalized Bounds on Partial Aperiodic Correlation of Complex Roots of Unity Sequences.- Chip-Asynchronous Version of Welch Bound: Gaussian Pulse Improves BER Performance.- Boolean Functions.- On Immunity Profile of Boolean Functions.- Reducing the Number of Homogeneous Linear Equations in Finding Annihilators.- The Algebraic Normal Form, Linear Complexity and k-Error Linear Complexity of Single-Cycle T-Function.- Partially Perfect Nonlinear Functions and a Construction of Cryptographic Boolean Functions.- Construction of 1-Resilient Boolean Functions with Very Good Nonlinearity.

This book constitutes the refereed proceedings of the 4th International Conference on Sequences and Their Applications, SETA 2006. The book presents 32 revised full papers together with 4 invited lectures. The papers are organized in topical sections on linear complexity of sequences, correlation of sequences, stream ciphers and transforms, topics in complexities of sequences, multi-sequence synthesis, sequences and combinatorics, FCSR sequences, aperiodic correlation and applications, and boolean functions, and more.