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Discrete Math. Liao, Q. A survey on normal bases over finite fields, Advances in Mathematics China, 42 5 , Lidl R. Finite Fields, Cambridge University Press, second edition. Massey J. Computation method and apparatus for finite field arithmetic, US Patent No.

Normal Bases of Minimum Complexity

Menezes, A. Gao, X. Applications of finite fields, Kluwer Academic Publishers. Mullen G. Perlis, S. Normal bases of cyclic fields of prime-power degree, Duke Math. Sharma, P. Silva D.

Advances in Mathematics of Communications , , 13 3 : Hilbert quasi-polynomial for order domains and application to coding theory. Advances in Mathematics of Communications , , 12 2 : Fabio Camilli , Francisco Silva.


  • SIAM Journal on Computing?
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A semi-discrete approximation for a first order mean field game problem. Laurent Imbert , Michael J. Jacobson, Jr. Fast ideal cubing in imaginary quadratic number and function fields. Advances in Mathematics of Communications , , 4 2 : Discrete mean field games: Existence of equilibria and convergence.

Classical Wavelet Transforms over Finite Fields

A model problem for Mean Field Games on networks. Yves Achdou , Victor Perez. Iterative strategies for solving linearized discrete mean field games systems. Discrete time mean field games: The short-stage limit. Bounds on the number of rational points of algebraic hypersurfaces over finite fields, with applications to projective Reed-Muller codes. Advances in Mathematics of Communications , , 10 2 : Discrete logarithm like problems and linear recurring sequences.

Advances in Mathematics of Communications , , 7 2 : Juan Li , Wenqiang Li. Controlled reflected mean-field backward stochastic differential equations coupled with value function and related PDEs. Maria Schonbek , Tomas Schonbek. Moments and lower bounds in the far-field of solutions to quasi-geostrophic flows. Constacyclic and quasi-twisted Hermitian self-dual codes over finite fields. Advances in Mathematics of Communications , , 11 3 : Subgradients of the optimal value function in a parametric discrete optimal control problem.

Polynomial inverse integrating factors for polynomial vector fields. Advances in Mathematics of Communications , , 3 3 : Tetsuya Ishiwata , Kota Kumazaki. Structure preserving finite difference scheme for the Landau-Lifshitz equation with applied magnetic field. Conference Publications , , special : Andrew Comech. Weak attractor of the Klein-Gordon field in discrete space-time interacting with a nonlinear oscillator. American Institute of Mathematical Sciences. Previous Article Hilbert quasi-polynomial for order domains and application to coding theory. Keywords: Discrete logarithm problem , finite fields , number field sieve , function field sieve , quasi-polynomial algorithms.

Indiscreet logarithms in finite fields of small characteristic. References: [1] G. Google Scholar [2] G. Google Scholar [3] G. Google Scholar [4] L. Google Scholar [5] L.


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Finite Fields

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Google Scholar [28] R. Google Scholar [29] R. Google Scholar [30] T. Google Scholar [31] T. Google Scholar [32] T. Google Scholar [33] A. Finite fields provide an enabling background for important applications in electrical engineering, computer science, physics, and even biology. While new developments have emerged in recent years, many researchers still use old problem-solving methods that often lead to inaccurat Usually ships working days — This title is in stock at publisher.

This title is firm sale. Please select carefully as returns are not accepted. While new developments have emerged in recent years, many researchers still use old problem-solving methods that often lead to inaccurate results and solutions. Poised to become the standard in the field, this up-to-date handbook covers all the theoretical aspects of the finite fields. It also presents numerous applications to communications, coding theory, cryptography, elliptic curves, computer science, and physics.

Gary L.

1st Edition

Mullen is a professor of mathematics at The Pennsylvania State University. Daniel Panario is a professor of mathematics at Carleton University. Subscribe now to be the first to hear about specials and upcoming releases.