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Finite Fields and Applications

Edited by: Gary L. Mullen Pennsylvania State University, University Park, PA
Daniel Panario Carleton University, Ottawa, Ontario, Canada
Igor E. Shparlinski Macquarie University, North Ryde, NSW, Australia
Available Formats:
Electronic ISBN: 978-0-8218-8140-8
Product Code: CONM/461.E
List Price: $86.00 MAA Member Price:$77.40
AMS Member Price: $68.80 Click above image for expanded view Finite Fields and Applications Edited by: Gary L. Mullen Pennsylvania State University, University Park, PA Daniel Panario Carleton University, Ottawa, Ontario, Canada Igor E. Shparlinski Macquarie University, North Ryde, NSW, Australia Available Formats:  Electronic ISBN: 978-0-8218-8140-8 Product Code: CONM/461.E  List Price:$86.00 MAA Member Price: $77.40 AMS Member Price:$68.80
• Book Details

Contemporary Mathematics
Volume: 4612008; 265 pp
MSC: 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.

Graduate students and research mathematicians interested in finite fields and applications.

• Articles
• Daniel J. Bernstein and Tanja Lange - Analysis and optimization of elliptic-curve single-scalar 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 multi-level blocking distinct-degree 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 El-Mahassni 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 Hasse-Arf 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. Tapia-Recillas - The simplex code over Galois rings [ MR 2436340 ]
• J. A. Thas - Finite fields and Galois geometries [ MR 2436341 ]

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 4612008; 265 pp
MSC: 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.

Graduate students and research mathematicians interested in finite fields and applications.

• Articles
• Daniel J. Bernstein and Tanja Lange - Analysis and optimization of elliptic-curve single-scalar 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 multi-level blocking distinct-degree 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 El-Mahassni 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 Hasse-Arf 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. Tapia-Recillas - The simplex code over Galois rings [ MR 2436340 ]
• J. A. Thas - Finite fields and Galois geometries [ MR 2436341 ]
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
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