Algebraic Geometry And Its Applications

Dedicated To Gilles Lachaud On His 60th Birthday - Proceedings Of The First Saga Conference

By: Jean Chaumine (Editor), James Hirschfeld (Editor), Robert Rolland (Editor)

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Hardcover | 18 April 2008

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532 Pages

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22.86 x 15.88 x 3.18

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This volume covers many topics including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. This book contains many interesting theoretical and applicated new results and surveys presented by the best specialists in these areas, such as new results on Serre's questions, answering a question in his letter to Top; new results on cryptographic applications of the discrete logarithm problem related to elliptic curves and hyperellyptic curves, including computation of the discrete logarithm; new results on function field towers; the construction of new classes of Boolean cryptographic functions; and algorithmic applications of algebraic geometry.

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To Gilles Lachaud on the occasion of his 60th birthday	p. v
Preface	p. vii
Organizing Committees	p. xi
Fast addition on non-hyperelliptic genus 3 curves	p. 1
Computing endomorphism rings of Jacobians of genus 2 curves over finite fields	p. 29
Complex multiplication and canonical lifts	p. 67
Two letters to Jaap Top	p. 84
On some questions of Serre on abelian threefolds	p. 88
Pseudorandom Points on Elliptic Curves over Finite Fields	p. 116
Symmetric Cryptography and Algebraic Curves	p. 135
Galois invariant smoothness basis	p. 142
Fuzzy Pairings-Based CL-PKC	p. 168
Trace Zero Varieties over Fields of Characteristic 2 for Cryptographic Applications	p. 188
Group Law Algorithms for Jacobian Varieties of Curves over Finite Fields	p. 216
Discrete Logarithms, Duality, and Arithmetic in Brauer Groups	p. 241
On generators of the group H[superscript -1](Gal(L/K), E[subscript L]) in some abelian p-extension L/K	p. 273
On the semiprimitivity of cyclic codes	p. 284
Decoding of scroll codes	p. 294
List decoding using syndromes	p. 315
A note on the tensor rank of the multiplication in certain finite fields	p. 332
Multiplication in small finite fields using elliptic curves	p. 343
An optimal unramified tower of function fields	p. 351
Partial covering sequences: a method for designing classes of cryptographic functions	p. 366
Non linearite des fonctions booleennes donnees par des traces de polynomes de degre binaire 3	p. 388
On Exponents with highly divisible Fourier Coefficients and Conjectures of Niho and Dobbertin	p. 410
On the number of resilient Boolean functions	p. 419
On Quadratic Extensions of Cyclic Projective Planes	p. 434
Some integral representations of finite groups and their arithmetic applications	p. 467
Number of points of non-absolutely irreducible hypersurfaces	p. 481
Neuberg cubics over finite fields	p. 488
Partitions of Vector Spaces over Finite Fields	p. 505
Author Index	p. 513
Table of Contents provided by Ingram. All Rights Reserved.

Algebraic Geometry And Its Applications

Dedicated To Gilles Lachaud On His 60th Birthday - Proceedings Of The First Saga Conference

At a Glance

Hardcover

Shipping

How to return your order

Defective items

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