Coding Theory, Cryptography and Related Areas,9783540662488

Coding Theory, Cryptography and Related Areas

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ISBN13: 9783540662488
ISBN10: 3540662480
Format: Paperback
Pub. Date: 1999-12-01
Publisher(s): Springer Verlag
List Price: $159.99

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Summary

This book contains 23 contributions presented at the "International Conference on Coding Theory, Cryptography and Related Areas (ICCC)", held in Guanajuato, Mexico, in April 1998. It comprises a series of research papers on various aspects of coding theory (geometric-algebraic, decoding, exponential sums, etc.) and cryptography (discrete logarithm problem, public key cryptosystems, primitives, etc.), as well as in other research areas, such as codes over finite rings and some aspects of function fields and algebraic geometry over finite fields. The book contains new results on the subject, never published in any other form. It will be useful to students, researchers, professionals, and tutors interested in this area of research.

Table of Contents

Modifications of the Rao-Nam Cryptosystem
1(12)
Angela I. Barbero
Øyvind Ytrehus
Efficient Reduction on the Jacobian Variety of Picard Curves
13(16)
Ernesto Reinaldo Barreiro
Jorge Estrada Sarlabous
Jean-Pierre Cherdieu
Continued Fractions in Hyperelliptic Function Fields
29(13)
T.G. Berry
Discrete Logarithms: Recent Progress
42(15)
Johannes Buchmann
Damian Weber
One-weight Z4-linear Codes
57(16)
Claude Carlet
Efficient Algorithms for the Jacobian Variety of Hyperelliptic Curves Y2 = xp - x + 1 Over a Finite Field of Odd Characteristic p
73(17)
Iwan Duursma
Kouichi Sakurai
On Weierstrass Semigroups and One-point Algebraic Geometry Codes
90(12)
J.I. Farran
On the Undetected Error Probability of m-out-of-n Codes on the Binary Symmetric Channel
102(9)
Fang-Wei Fu
Torleiv Klove
Shu-Tao Xia
Skew Pyramids of Function Fields Are Asymptotically Bad
111(3)
Arnaldo Garcia
Henning Stichtenoth
A Public Key Cryptosystem Based on Sparse Polynomials
114(8)
D. Grant
K. Krastev
D. Lieman
I. Shparlinski
Higher Weights of Grassmann Codes
122(10)
Sudhir R. Ghorpade
Gilles Lachaud
Toric Surface and Error-correcting Codes
132(11)
Johan P. Hansen
Decoding Spherical Codes Generated by Binary Partitions of Symmetric Pointsets
143(13)
John K. Karlof
Guodong Liu
Worst-Case Analysis of an Algorithm for Computing the Greatest Common Divisor of n Inputs
156(11)
Charles Lam
Jeffrey Shallit
Scott Vanstone
Zeta Functions of Curves over Finite Fields with Many Rational Points
167(8)
Kristin Lauter
Codes on Drinfeld Modular Curves
175(9)
Bartolome Lopez
Ignacio Luengo
Elliptic Curves, Pythagorean Triples and Applications
184(11)
J. Miret
J. Tena
M. Valls
Exponential Sums and Stationary Phase (I)
195(14)
Carlos Julio Moreno
Exponential Sums in Several Variables over Finite Fields
209(12)
Oscar Moreno
Francis N. Castro
Alberto Caceres
Decoding Reed-Solomon Codes Beyond Half the Minimum Distance
221(16)
R. Refslund Nielsen
T. Hoholdt
Reed-Muller Type Codes on the Veronese Variety over Finite Fields
237(7)
C. Renteria
H. Tapia-Recillas
Cryptography Primitives Based on a Cellular Automaton
244(5)
Jesus Urias
Factoring the Semigroup Determinant of a Finite Commutative Chain Ring
249
Jay A. Wood

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