In order to accelerate the computing of Tate paring

a new technique of selection method of parameters （A

B） based on R-ate technique had been proposed. Compared to Atei

this method substitutes pmmodr with pmodr in Miller loop

and p was the character of Tate pairing’s field. Could bring an advance of a larger reduction of Miller loop comparing with Atei algorithm by parameters （pi

r）

but it must constraint that field of definitions of p

So at the end

the classical selection rule of p was shown in response for improving the reliability of the method.