This study included the extraction of volatile oils from the leaves of some local Eucalyptus trees (i.e.(1)E.camldulensis ,(2) E.camldulensis , E.microtheca , E.globules , E.sideroxylem , E.krusianin. by the water distillation method. As well as exploring some of their physical properties. The results of this study reveald that the local eucalyptus trees gave a good rate of volatile oil equals to some global kinds and to the rate in India pharmacopeia. Also the results revealed that there had been concurrence between the percentages of volatile oils and refractive index and specific gravity of the plants on which the study was made to study and those included in the US and UK. pharma copeias. This proves those plant , are of medical importance.
Multiplicative inverse in GF (2 m ) is a complex step in some important application such as Elliptic Curve Cryptography (ECC) and other applications. It operates by multiplying and squaring operation depending on the number of bits (m) in the field GF (2 m ). In this paper, a fast method is suggested to find inversion in GF (2 m ) using FPGA by reducing the number of multiplication operations in the Fermat's Theorem and transferring the squaring into a fast method to find exponentiation to (2 k ). In the proposed algorithm, the multiplicative inverse in GF(2 m ) is achieved by number of multiplications depending on log 2 (m) and each exponentiation is operates in a single clock cycle by generating a reduction matrix for high power of two ex
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