Abstract

VELASQUEZ, Fabián; VARGAS, Javier  and  PUENTE, Sebastián. Implementation of addition and doubled of a point on a curve in a field Edwards binary. Prospect. [online]. 2017, vol.15, n.2, pp.33-39. ISSN 1692-8261.  https://doi.org/10.15665/rp.v15i2.716.

This article presents the results of the design and development of operations of arithmetic of curves of Edwards in the field of Galois GF (2251). Is implemented the operations of sum and bent of points in a curve of Edwards binary based on the arithmetic of field finite using a base polynomial. The operations were evaluated on a system multiprocessor MPSoC, using multiprocessing capabilities. Operations of arithmetic in finite fields and Edward curves are used in appropriate and efficient algorithms for a multiprocessing system MPSoC Propeller.

Keywords : MPSoC; Propeller; Edwards curve arithmetic; Arithmetic of finite fields; Binary Edwards curve.

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