Finite Fields and Applications: Eighth International Conference on Finite Fields and Applications, July 9-13, 2007, Melbourne, Australia (Contemporary

Finite Fields and Applications: Eighth International Conference on Finite Fields and Applications, July 9-13, 2007, Melbourne, Australia (Contemporary

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Description

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.

Contents

Analysis and optimization of elliptic-curve single-scalar multiplication by D. J. Bernstein and T. Lange On influences of Boolean variables and their computation by S. Boztas Subsequences of Sidelnikov sequences by N. Brandstatter and A. Winterhof A multi-level blocking distinct-degree factorization algorithm by R. P. Brent and P. Zimmermann New bounds on some parameters in the Waring problem for polynomials over a finite field by M. Car Dickson polynomial permutations by M. Cipu and S. D. Cohen Ring theoretic study of linear codes using additive polynomials by V. Deolalikar Toward a complete twin primes theorem for polynomials over finite fields by G. Effinger On the distribution of the elliptic curve power generator by E. El-Mahassni and I. E. Shparlinski Discrete logarithms in curves over finite fields by A. Enge Some remarks on the Hasse-Arf theorem by A. Garcia and H. Stichtenoth character sums for sequences of iterations of Dickson polynomials by D. Gomez and A. Winterhof What can be used instead of a Barker sequence? by J. Jedwab Order dividing extension fields and the root computation problem by A. M. Johnston Kasami bent functions are not equivalent to their duals by P. Langevin, G. Leander, and G. McGuire Reduced linear modular systems by E. Orozco Cocyclic Butson Hadamard matrices and codes over $\mathbb{Z} n$ via the trace map by N. Pinnawala and A. Rao Dickson permutation polynomials that decompose in cycles of the same length by I. M. Rubio, G. L. Mullen, C. Corrada, and F. N. Castro Equidistribution of roots of $L$-function of Gold exponential sum by V. K. Murty and K. W. Shum The simplex code over Galois rings by H. Tapia-Recillas Finite fields and Galois geometries by J. A. Thas.

Product Details

  • ISBN13: 9780821843093
  • Format: Paperback
  • ID: 9780821843093
  • ISBN10: 0821843095

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