Finite Fields with Applications to Coding Theory, Cryptography and Related Areas

Mullen, Gary L.; Stichtenoth, Henning; Tapia-Recillas, Horacio

Finite Fields with Applications to Coding Theory, Cryptography and Related Areas

Edited by Gary L. Mullen (), Henning Stichtenoth () and Horacio Tapia-Recillas ()

in Springer Books from Springer

Date: 2002
ISBN: 978-3-642-59435-9
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Chapters in this book:

Commutative Semifields of Rank 2 Over Their Middle Nucleus: Simeon Ball and Michel Lavrauw
A Rao-Nam like Cryptosystem with Product Codes: Ángela I. Barbero and Juan G. Tena
Pseudorandom Sequences from Elliptic Curves: P. H. T. Beelen and J. M. Doumen
On Cryptographic Complexity of Boolean Functions: Claude Carlet
On Divisibility of Exponential Sums over Finite Fields of Characteristic 2: F. N. Castro and O. Moreno
Value Sets of Polynomials over Finite Fields: Pinaki Das and Gary L. Mullen
Bounds for Completely Decomposable Jacobians: Iwan Duursma and Jean-Yves Enjalbert
Twin Irreducible Polynomials over Finite Fields: Gove W. Effinger, Kenneth H. Hicks and Gary L. Mullen
Invariants of Finite Groups over Finite Fields: Recent Progress and New Conjectures: Peter Fleischmann
The Group Law on Elliptic Curves on Hesse form: Hege Reithe Frium
On Curves with Many Rational Points over Finite Fields: Arnaldo Garcia
VHDL Specification of a FPGA to Divide and Multiply in GF(2 m ): Mario Alberto García-Martínez and Guillermo Morales-Luna
Distribution of Irreducible Polynomials over F 2: Kenneth H. Hicks, Gary L. Mullen and Ikuro Sato
Arithmetic on a Family of Picard Curves: Rolf-Peter Holzapfel and Florin Nicolae
New Quantum Error-Correcting Codes from Hermitian Self-Orthogonal Codes over GF(4): Jon-Lark Kim
A Note on the Counter-Example of Patterson—Wiedemann: Philippe Langevin and Jean-Pierre Zanotti
Continued Fractions for Certain Algebraic Power Series over a Finite Field: Alain Lasjaunias
Linear Complexity and Polynomial Degree of a Function Over a Finite Field: Wilfried Meidl and Arne Winterhof
Primitive Roots in Cubic Extensions of Finite Fields: Donald Mills and Gavin McNay
On Polynomial Families in n Indeterminates over Finite Prime Fields Coming from Planar Functions: Nobuo Nakagawa
Cryptanalysis of the Sakazaki-Okamoto-Mambo ID-based Key Distribution System over Elliptic Curves: Minghua Qu, Doug Stinson and Scott Vanstone
Differential and Linear Distributions of Substitution Boxes for Symmetric-Key Cryptosystems: Peter Roelse
Exponential Sums and Lattice Reduction: Applications to Cryptography: Igor E. Shparlinski
An Alternate Construction of the Berlekamp Subalgebra: Greg Stein
On the F p -Linearity of the Generalized Gray Map Image of a $${Z_{{p^{k+1}}}}$$ -Linear Code: H. Tapia-Recillas and G. Vega
Construction of Modular Curves and Computation of Their Cardinality over F p: Cédric Tavernier
Asymptotic Properties of Global Fields: M. A. Tsfasman

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DOI: 10.1007/978-3-642-59435-9

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