Created
February 8, 2020 08:51
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Modular Exponentiation used in the RSA public key cryptographic system
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""" | |
Modular Exponentiation (Rapid Exponentiation) | |
--------------------------------------------- | |
Efficient algorithm used in the RSA public key cryptographic system | |
More info: | |
https://en.wikipedia.org/wiki/Modular_exponentiation | |
""" | |
from time import time | |
def modexp(b,e,m): | |
r=1 | |
while(e): | |
if(e&1): r=(r*b)%m | |
b,e=(b**2)%m,e>>1 | |
return r | |
def main(): | |
print("calculate: (b**e) mod m") | |
b=int(input("b (base): ")) | |
e=int(input("e (exponent): ")) | |
m=int(input("m (module): ")) | |
print("-"*5,"[result]","-"*5) | |
ti=time() | |
print(modexp(b,e,m)) | |
tf=time() | |
print(f"calculation time: {tf-ti}") | |
if __name__ == "__main__": | |
main() |
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