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The digital devices based on the computations over Galois field in the FPGA-architecture

Keywords:

V.M. Zakharov – Dr. Sc. (Eng.), Professor, Kazan National Research Technical University named after A.N. Tupolev (KNRTU-KAI). E-mail: gilvv@mail.ru S.V. Shalagin – Dr. Sc. (Eng.), Associate Professor, Kazan National Research Technical University named after A.N. Tupolev (KNRTU-KAI). E-mail: sshalagin@mail.ru B.F. Eminov – Ph.D. (Phys.-Math.), Associate Professor, Kazan National Research Technical University named after A.N. Tupolev (KNRTU-KAI). E-mail: bulfami@mail.ru


There is offered the general method of synthesis of the digital devices, namely the generators of discrete stochastic processes of the Markovian class and their functions, and devices for computation of discrete orthogonal transformations, on the distributed computing system with programmable architecture which elements are the field programmable gate arrays (FPGA). Digital devices are imple-mented when using the same IP-cores allowing carrying out the distributed computation over Galois field in FPGA-architecture. Each IP-core provides the computation of nonlinear polynomial functions of m variables over a Galois field of given order.
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