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Coding Theory, Cryptography and Related Areas: Proceedings of an International Conference on Coding Theory, Cryptography and Related Areas, held in Guanajuato, Mexico, in April 1998 / Edition 1
     

Coding Theory, Cryptography and Related Areas: Proceedings of an International Conference on Coding Theory, Cryptography and Related Areas, held in Guanajuato, Mexico, in April 1998 / Edition 1

by Johannes Buchmann, Tom Hoeholdt, Henning Stichtenoth, Horacio Tapia-Recillas
 

ISBN-10: 3540662480

ISBN-13: 9783540662488

Pub. Date: 11/23/1999

Publisher: Springer Berlin Heidelberg

This book contains 23 contributions presented at the "International Co nference on Coding Theory, Cryptography and Related Areas (ICCC)", hel d in Guanajuato, Mexico, in April 1998. It comprises a series of resea rch papers on various aspects of coding theory (geometric-algebraic, d ecoding, exponential sums, etc.) and cryptography (discrete logarithm problem,

Overview

This book contains 23 contributions presented at the "International Co nference on Coding Theory, Cryptography and Related Areas (ICCC)", hel d in Guanajuato, Mexico, in April 1998. It comprises a series of resea rch papers on various aspects of coding theory (geometric-algebraic, d ecoding, exponential sums, etc.) and cryptography (discrete logarithm problem, public key cryptosystems, primitives, etc.), as well as in ot her research areas, such as codes over finite rings and some aspects o f 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 tutor s interested in this area of research

Product Details

ISBN-13:
9783540662488
Publisher:
Springer Berlin Heidelberg
Publication date:
11/23/1999
Edition description:
2000
Pages:
260
Product dimensions:
6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Modifications of the Rao-Nam Cryptosystem.- Efficient Reduction on the Jacobian Variety of Picard Curves.- Continued Fractions in Hyperelliptic Function Fields.- Discrete Logarithms: Recent Progress.- One-weight Z4-linear Codes.- Efficient Algorithms for the Jacobian Variety of Hyperelliptic Curves y2 = xp — x + 1 Over a Finite Field of Odd Characteristic p.- On Weierstrass Semigroups and One-point Algebraic Geometry Codes.- On the Undetected Error Probability of m-out-of-n Codes on the Binary Symmetric Channel.- Skew Pyramids of Function Fields Are Asymptotically Bad.- A Public Key Cryptosystem Based on Sparse Polynomials.- Higher Weights of Grassmann Codes.- Toric Surfaces and Error-correcting Codes.- Decoding Spherical Codes Generated by Binary Partitions of Symmetric Pointsets.- Worst-Case Analysis of an Algorithm for Computing the Greatest Common Divisor of n Inputs.- Zeta Functions of Curves over Finite Fields with Many Rational Points.- Codes on Drinfeld Modular Curves.- Elliptic Curves, Pythagorean Triples and Applications.- Exponential Sums and Stationary Phase (I).- Exponential Sums in Several Variables over Finite Fields.- Decoding Reed-Solomon Codes Beyond Half the Minimum Distance.- Reed-Muller Type Codes on the Veronese Variety over Finite Fields.- Cryptography Primitives Based on a Cellular Automaton.- Factoring the Semigroup Determinant of a Finite Commutative Chain Ring.

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