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

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September 28, 2024 | History

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

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.

Publish Date
Publisher
Springer
Language
English
Pages
259

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Previews available in: English

Book Details


Table of Contents

Modifications of the Rao-Nam cryptosystem / Ángela I. Barbero and Øyvind Ytrehus
Efficient reduction on the Jacobian variety of Picard curves / Ernesto Reinaldo Barreiro, Jorge Estrada Sarlabous, and Jean-Pierre Cherdieu
Continued fractions in hyperelliptic function fields / T.G. Berry
Discrete logarithms : recent progress / Johannes Buchmann and Damian Weber
One-weight Z₄-linear codes / Claude Carlet
Efficient algorithms for the Jacobian variety of hyperelliptic curves y²=x[superscript p]-x+1 over a finite field of odd charactieristc p / Iwan Duursma and Kouichi Sakurai
On Weierstrass semigroups and one-point algebraic geometry codes / J.I. Farrán
On the undetected error probability of m-out-of-n codes on the binary symmetric channel / Fang-Wei Fu, Torleiv Kløve, and Shu-Tao Xia
Skew pyramids of function fields are asymptotically bad / Arnaldo Garcia and Henning Stichtenoth
A public key cryptosystem based on sparse polynomials / D. Grant ... [et al.]
Higher weights of Grassman codes / Sudhir R. Ghorpade and Gilles Lachaud
Toric surfaces and error-correcting codes / Johan P. Hansen
Decoding spherical codes generated by binary partitions of symmetric pointsets / John K. Karlof and Guodong Liu
Worst-case analysis of an algorithm for computing the greatest common divisor of n inputs / Charles Lam, Jeffrey Shallit, and Scott Vanstone
Zeta functions of curves over finite fields with many rational points / Kristin Lauter
Codes on Drinfeld modular curves / Bartolomé López and Ignacio Luengo
Elliptic curves, Pythagorean triples and applications / J. Miret, J. Tena, and M. Valls
Exponential sums and stationary phase (I) / Carlos Julio Moreno
Exponential sums in several variables over finite fields / Oscar Moreno, Francis N. Castro, and Alberto Cáceres
Decoding Reed-Solomon codes beyond half the minimum distance / R. Refslund Nielsen and T. Høholdt
Reed-Muller type codes on the Veronese variety over finite fields / C. Rentería and H. Tapia-Recillas
Cryptography primitives based on a cellular automaton / Jesús Urías
Factoring the semigroup determinant of a finite commutative chain ring / Jay A. Wood.

Edition Notes

Includes bibliographical references.

Published in
Berlin, New York
Genre
Congresses.

Classifications

Dewey Decimal Class
003/.54
Library of Congress
TK5102.94 .I58 2000, QA268QA241-247.5QA76, QA241-247.5

The Physical Object

Pagination
viii, 259 p. :
Number of pages
259

Edition Identifiers

Open Library
OL18730858M
ISBN 10
3540662480
LCCN
99054503
OCLC/WorldCat
42736326
Goodreads
781975

Work Identifiers

Work ID
OL12514197W

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October 19, 2008 Created by ImportBot Imported from Oregon Libraries MARC record