Sequences and their Applications

Proceedings of SETA ’01

Editors:

ISBN: 978-1-85233-529-8 (Print) 978-1-4471-0673-9 (Online)

Table of contents (24 chapters)

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  1. Front Matter

    Pages I-VIII

  2. Invited Contributions

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      Book Chapter

      Pages 1-22

      Uniformly Representable Permutation Polynomials

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      Book Chapter

      Pages 23-33

      New p-ary Perfect Sequences and Difference Sets with Singer Parameters

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      Pages 34-45

      On the Crosscorrelation of m-Sequences and Related Sequences with Ideal Autocorrelation

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      Pages 46-71

      Sequences for OFDM and Multi-Code CDMA: Two Problems in Algebraic Coding Theory

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      Pages 72-87

      Signal Design for Ultra-wideband Radio

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      Pages 88-100

      Constructions of Sequences from Algebraic Curves over Finite Fields

  3. Regular Contributions

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      Book Chapter

      Pages 101-115

      Description of Binary Sequences Based on the Interval Linear Complexity Profile

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      Pages 116-130

      On the Number of Kernel Elements of Automatic Sequences

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      Pages 131-144

      On the Coset Weight Divisibility and Nonlinearity of Resilient and Correlation-Immune Functions

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      Pages 145-153

      On the Linear Complexity of Generalised Legendre Sequence

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      Pages 154-165

      Hyper-Cyclotomic Algebra

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      Pages 166-181

      Cyclic Projective Planes, Perfect Circular Rulers, and Good Spanning Rulers

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      Book Chapter

      Pages 182-196

      Linear Recursive Sequences over Elliptic Curves

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      Pages 197-208

      On the Distinctness of Decimations of ℓ-Sequences

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      Pages 209-217

      On Binary Sequences of Period n = pm ∓ 1 with Optimal Autocorrelation

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      Pages 218-227

      On the Profile of the k-Error Linear Complexity and the Zero Sum Property for Sequences over GF(p m ) with Period p n

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      Pages 228-241

      Constant Sum Implies Statistical Independence of Chaotic Sequences

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      Book Chapter

      Pages 242-256

      First-Order Optimal Approximation of Binary Sequences

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      Book Chapter

      Pages 257-264

      On the Uniformity of Distribution of Congruential Generators over Elliptic Curves

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      Book Chapter

      Pages 265-280

      Further Constructions of Resilient Boolean Functions with Very High Nonlinearity

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