Yupanqui-Huamán, Oscar P.

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Multiplicación paralela para una familia de cuerpos finitos
(2011-06) Yupanqui-Huamán, Oscar P.; Bollman, Dorothy; College of Arts and Sciences - Sciences; González, Ana Carmen; Colón Reyes, Omar; Department of Mathematics; Rodríguez Martínez, Manuel
Finite fields have many important applications in various fields, including signal processing, coding theory, cryptography and, more recently, in genetic network models. For this reason, a great deal of effort has gone into developing highly efficient implementations of finite field arithmetic, especially multiplication. Development of parallel multiplication algorithms has been directed almost exclusively to finite fields of characteristic 2. In this work we make use of results of Bollman, Ferrer and Orozco to develop a parallel algorithm for finite fields with large characteristic and discuss its implementation on a shared memory machine.