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Additive Combinatorics over Finite Fields: New Results and Applications
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Igor E. Shparlinski
Chapter DOI:
doi.org/10.1515/9783110283600.233
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Chapters in this book
- Frontmatter i
- Preface v
- Contents vii
- Character Sums and Polyphase Sequence Families with Low Correlation, Discrete Fourier Transform (DFT), and Ambiguity 1
- Measures of Pseudorandomness 43
- Existence Results for Finite Field Polynomials with Specified Properties 65
- Incidence Structures, Codes, and Galois Geometries 89
- Special Mappings of Finite Fields 117
- On The Classification of Perfect Nonlinear (PN) and Almost Perfect Nonlinear (APN) Monomial Functions 145
- Finite Fields and Quasirandom Points 169
- Iterations of Rational Functions: Some Algebraic and Arithmetic Aspects 197
- Additive Combinatorics over Finite Fields: New Results and Applications 233
- Index 273
- Backmatter 275
Chapter DOI:
doi.org/10.1515/9783110283600.233
Chapters in this book
- Frontmatter i
- Preface v
- Contents vii
- Character Sums and Polyphase Sequence Families with Low Correlation, Discrete Fourier Transform (DFT), and Ambiguity 1
- Measures of Pseudorandomness 43
- Existence Results for Finite Field Polynomials with Specified Properties 65
- Incidence Structures, Codes, and Galois Geometries 89
- Special Mappings of Finite Fields 117
- On The Classification of Perfect Nonlinear (PN) and Almost Perfect Nonlinear (APN) Monomial Functions 145
- Finite Fields and Quasirandom Points 169
- Iterations of Rational Functions: Some Algebraic and Arithmetic Aspects 197
- Additive Combinatorics over Finite Fields: New Results and Applications 233
- Index 273
- Backmatter 275
