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
Published on 30. September 2002
Book
Hardback
IX, 335 pages
978-3-540-43961-5 (ISBN)
Description
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.
More details
Language
English
Place of publication
Heidelberg
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
College/higher education
Illustrations
biography
Dimensions
Height: 23.5 cm
Width: 15.5 cm
Weight
646 gr
ISBN-13
978-3-540-43961-5 (9783540439615)
DOI
10.1007/978-3-642-59435-9
Schweitzer Classification
Other editions
Additional editions
Gary L. Mullen | Henning Stichtenoth | Horacio Tapia-Recillas
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
Book
10/2011
Springer
€106.99
Shipment within 7-9 days
Content
Commutative Semifields of Rank 2 Over Their Middle Nucleus.- A Rao-Nam like Cryptosystem with Product Codes.- Pseudorandom Sequences from Elliptic Curves.- On Cryptographic Complexity of Boolean Functions.- On Divisibility of Exponential Sums over Finite Fields of Characteristic 2.- Value Sets of Polynomials over Finite Fields.- Bounds for Completely Decomposable Jacobians.- Twin Irreducible Polynomials over Finite Fields.- Invariants of Finite Groups over Finite Fields: Recent Progress and New Conjectures.- The Group Law on Elliptic Curves on Hesse form.- On Curves with Many Rational Points over Finite Fields.- VHDL Specification of a FPGA to Divide and Multiply in GF(2m).- Distribution of Irreducible Polynomials over F2.- Arithmetic on a Family of Picard Curves.- New Quantum Error-Correcting Codes from Hermitian Self-Orthogonal Codes over GF(4).- A Note on the Counter-Example of Patterson-Wiedemann.- Continued Fractions for Certain Algebraic Power Series over a Finite Field.- Linear Complexity and Polynomial Degree of a Function Over a Finite Field.- Primitive Roots in Cubic Extensions of Finite Fields.- On Polynomial Families in n Indeterminates over Finite Prime Fields Coming from Planar Functions.- Cryptanalysis of the Sakazaki-Okamoto-Mambo ID-based Key Distribution System over Elliptic Curves.- Differential and Linear Distributions of Substitution Boxes for Symmetric-Key Cryptosystems.- Exponential Sures and Lattice Reduction: Applications to Cryptography.- An Alternate Construction of the Berlekamp Subalgebra.- On the Fp-Linearity of the Generalized Gray Map Image of a
$${Z_{{p^{k + 1}}}}$$
-Linear Code.- Construction of Modular Curves and Computation of Their Cardinality over Fp.- Asymptotic Properties of Global Fields.- Author Index.
$${Z_{{p^{k + 1}}}}$$
-Linear Code.- Construction of Modular Curves and Computation of Their Cardinality over Fp.- Asymptotic Properties of Global Fields.- Author Index.