Electronic ISBN:  9780821881408 
Product Code:  CONM/461.E 
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Book DetailsContemporary MathematicsVolume: 461; 2008; 265 ppMSC: Primary 11;
This volume contains the proceedings of the Eighth International Conference on Finite Fields and Applications, held in Melbourne, Australia, July 9–13, 2007. It contains 5 invited survey papers as well as original research articles covering various theoretical and applied areas related to finite fields.
Finite fields, and the computational and algorithmic aspects of finite field problems, continue to grow in importance and interest in the mathematical and computer science communities because of their applications in so many diverse areas. In particular, finite fields now play very important roles in number theory, algebra, and algebraic geometry, as well as in computer science, statistics, and engineering. Areas of application include algebraic coding theory, cryptology, and combinatorial design theory.ReadershipGraduate students and research mathematicians interested in finite fields and applications.

Table of Contents

Articles

Daniel J. Bernstein and Tanja Lange  Analysis and optimization of ellipticcurve singlescalar multiplication [ MR 2436321 ]

Serdar Boztaş  On influence of Boolean variables and their computation [ MR 2436322 ]

Nina Brandstätter and Arne Winterhof  Subsequences of Sidelnikov sequences [ MR 2436323 ]

Richard P. Brent and Paul Zimmermann  A multilevel blocking distinctdegree factorization algorithm [ MR 2436324 ]

Mireille Car  New bounds on some parameters in the Waring problem for polynomials over a finite field [ MR 2436325 ]

Mihai Cipu and Stephen D. Cohen  Dickson polynomial permutations [ MR 2436326 ]

Vinay Deolalikar  Ring theoretic study of linear codes using additive polynomials [ MR 2436327 ]

Gove Effinger  Toward a complete twin primes theorem for polynomials over finite fields [ MR 2436328 ]

Edwin ElMahassni and Igor E. Shparlinski  On the distribution of the elliptic curve power generator [ MR 2436329 ]

Andreas Enge  Discrete logarithms in curves over finite fields [ MR 2436330 ]

Arnaldo Garcia and Henning Stichtenoth  Some remarks on the HasseArf theorem [ MR 2436331 ]

Domingo Gomez and Arne Winterhof  Character sums for sequences of iterations of Dickson polynomials [ MR 2436332 ]

Jonathan Jedwab  What can be used instead of a Barker sequence? [ MR 2436333 ]

Anna M. Johnston  Order dividing extension fields and the root computation problem [ MR 2436334 ]

Philippe Langevin, Gregor Leander and Gary McGuire  Kasami bent functions are not equivalent to their duals [ MR 2436335 ]

V. Kumar Murty and Kenneth W. Shum  Equidistribution of roots of $L$function of Gold exponential sum [ MR 2436336 ]

Edusmildo Orozco  Reduced linear modular systems [ MR 2436337 ]

N. Pinnawala and A. Rao  Cocyclic Butson Hadamard matrices and codes over $\Bbb Z_n$ via the trace map [ MR 2436338 ]

Ivelisse M. Rubio, Gary L. Mullen, Carlos Corrada and Francis N. Castro  Dickson permutation polynomials that decompose in cycles of the same length [ MR 2436339 ]

H. TapiaRecillas  The simplex code over Galois rings [ MR 2436340 ]

J. A. Thas  Finite fields and Galois geometries [ MR 2436341 ]


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This volume contains the proceedings of the Eighth International Conference on Finite Fields and Applications, held in Melbourne, Australia, July 9–13, 2007. It contains 5 invited survey papers as well as original research articles covering various theoretical and applied areas related to finite fields.
Finite fields, and the computational and algorithmic aspects of finite field problems, continue to grow in importance and interest in the mathematical and computer science communities because of their applications in so many diverse areas. In particular, finite fields now play very important roles in number theory, algebra, and algebraic geometry, as well as in computer science, statistics, and engineering. Areas of application include algebraic coding theory, cryptology, and combinatorial design theory.
Graduate students and research mathematicians interested in finite fields and applications.

Articles

Daniel J. Bernstein and Tanja Lange  Analysis and optimization of ellipticcurve singlescalar multiplication [ MR 2436321 ]

Serdar Boztaş  On influence of Boolean variables and their computation [ MR 2436322 ]

Nina Brandstätter and Arne Winterhof  Subsequences of Sidelnikov sequences [ MR 2436323 ]

Richard P. Brent and Paul Zimmermann  A multilevel blocking distinctdegree factorization algorithm [ MR 2436324 ]

Mireille Car  New bounds on some parameters in the Waring problem for polynomials over a finite field [ MR 2436325 ]

Mihai Cipu and Stephen D. Cohen  Dickson polynomial permutations [ MR 2436326 ]

Vinay Deolalikar  Ring theoretic study of linear codes using additive polynomials [ MR 2436327 ]

Gove Effinger  Toward a complete twin primes theorem for polynomials over finite fields [ MR 2436328 ]

Edwin ElMahassni and Igor E. Shparlinski  On the distribution of the elliptic curve power generator [ MR 2436329 ]

Andreas Enge  Discrete logarithms in curves over finite fields [ MR 2436330 ]

Arnaldo Garcia and Henning Stichtenoth  Some remarks on the HasseArf theorem [ MR 2436331 ]

Domingo Gomez and Arne Winterhof  Character sums for sequences of iterations of Dickson polynomials [ MR 2436332 ]

Jonathan Jedwab  What can be used instead of a Barker sequence? [ MR 2436333 ]

Anna M. Johnston  Order dividing extension fields and the root computation problem [ MR 2436334 ]

Philippe Langevin, Gregor Leander and Gary McGuire  Kasami bent functions are not equivalent to their duals [ MR 2436335 ]

V. Kumar Murty and Kenneth W. Shum  Equidistribution of roots of $L$function of Gold exponential sum [ MR 2436336 ]

Edusmildo Orozco  Reduced linear modular systems [ MR 2436337 ]

N. Pinnawala and A. Rao  Cocyclic Butson Hadamard matrices and codes over $\Bbb Z_n$ via the trace map [ MR 2436338 ]

Ivelisse M. Rubio, Gary L. Mullen, Carlos Corrada and Francis N. Castro  Dickson permutation polynomials that decompose in cycles of the same length [ MR 2436339 ]

H. TapiaRecillas  The simplex code over Galois rings [ MR 2436340 ]

J. A. Thas  Finite fields and Galois geometries [ MR 2436341 ]