Ebook: Finite Fields with Applications to Coding Theory, Cryptography and Related Areas: Proceedings of the Sixth International Conference on Finite Fields and Applications, held at Oaxaca, México, May 21–25, 2001

The Sixth International Conference on Finite Fields and Applications, Fq6, held in the city of Oaxaca, Mexico, from May 21-25, 2001, continued a series of biennial international conferences on finite fields.
This volume documents the steadily increasing interest in this topic. Finite fields are an important tool in discrete mathematics and its applications cover algebraic geometry, coding theory, cryptology, design theory, finite geometries, and scientific computation, among others. An important feature is the interplay between theory and applications which has led to many new perspectives in research on finite fields and other areas. This interplay has been emphasized in this series of conferences and certainly was reflected in Fq6. This volume offers up-to-date original research papers by leading experts in the area.

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The Sixth International Conference on Finite Fields and Applications, Fq6, held in the city of Oaxaca, Mexico, from May 21-25, 2001, continued a series of biennial international conferences on finite fields.
This volume documents the steadily increasing interest in this topic. Finite fields are an important tool in discrete mathematics and its applications cover algebraic geometry, coding theory, cryptology, design theory, finite geometries, and scientific computation, among others. An important feature is the interplay between theory and applications which has led to many new perspectives in research on finite fields and other areas. This interplay has been emphasized in this series of conferences and certainly was reflected in Fq6. This volume offers up-to-date original research papers by leading experts in the area.
Content:
Front Matter....Pages I-IX
Commutative Semifields of Rank 2 Over Their Middle Nucleus....Pages 1-21
A Rao-Nam like Cryptosystem with Product Codes....Pages 22-36
Pseudorandom Sequences from Elliptic Curves....Pages 37-52
On Cryptographic Complexity of Boolean Functions....Pages 53-69
On Divisibility of Exponential Sums over Finite Fields of Characteristic 2....Pages 70-79
Value Sets of Polynomials over Finite Fields....Pages 80-85
Bounds for Completely Decomposable Jacobians....Pages 86-93
Twin Irreducible Polynomials over Finite Fields....Pages 94-111
Invariants of Finite Groups over Finite Fields: Recent Progress and New Conjectures....Pages 112-122
The Group Law on Elliptic Curves on Hesse form....Pages 123-151
On Curves with Many Rational Points over Finite Fields....Pages 152-163
Arithmetic on a Family of Picard Curves....Pages 164-176
New Quantum Error-Correcting Codes from Hermitian Self-Orthogonal Codes over GF(4)....Pages 177-186
A Note on the Counter-Example of Patterson—Wiedemann....Pages 187-208
Continued Fractions for Certain Algebraic Power Series over a Finite Field....Pages 209-213
Linear Complexity and Polynomial Degree of a Function Over a Finite Field....Pages 214-219
Primitive Roots in Cubic Extensions of Finite Fields....Pages 220-228
On Polynomial Families in n Indeterminates over Finite Prime Fields Coming from Planar Functions....Pages 229-238
Cryptanalysis of the Sakazaki-Okamoto-Mambo ID-based Key Distribution System over Elliptic Curves....Pages 239-250
Differential and Linear Distributions of Substitution Boxes for Symmetric-Key Cryptosystems....Pages 251-262
Exponential Sums and Lattice Reduction: Applications to Cryptography....Pages 263-269
An Alternate Construction of the Berlekamp Subalgebra....Pages 270-285
Asymptotic Properties of Global Fields....Pages 286-298
Back Matter....Pages 299-305
....Pages 306-312