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Generic Newton polygons for curves of given p-rank
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Jeffrey D. Achter
and Rachel Pries
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Chapters in this book
- Frontmatter i
- Introduction v
- Contents vii
- Generic Newton polygons for curves of given p-rank 1
- Good towers of function fields 23
- Correlation-immune Boolean functions for easing counter measures to side-channel attacks 41
- The discrete logarithm problem with auxiliary inputs 71
- Garden of curves with many automorphisms 93
- Nonlinear shift registers – A survey and challenges 121
- Permutations of finite fields and uniform distribution modulo 1 145
- Semifields, relative difference sets, and bent functions 161
- NTRU cryptosystem: Recent developments and emerging mathematical problems in finite polynomial rings 179
- Analog of the Kronecker–Weber theorem in positive characteristic 213
- Index 239
- Backmatter 241
Chapters in this book
- Frontmatter i
- Introduction v
- Contents vii
- Generic Newton polygons for curves of given p-rank 1
- Good towers of function fields 23
- Correlation-immune Boolean functions for easing counter measures to side-channel attacks 41
- The discrete logarithm problem with auxiliary inputs 71
- Garden of curves with many automorphisms 93
- Nonlinear shift registers – A survey and challenges 121
- Permutations of finite fields and uniform distribution modulo 1 145
- Semifields, relative difference sets, and bent functions 161
- NTRU cryptosystem: Recent developments and emerging mathematical problems in finite polynomial rings 179
- Analog of the Kronecker–Weber theorem in positive characteristic 213
- Index 239
- Backmatter 241