Last active
June 7, 2018 10:13
-
-
Save maciektr/603ff453f7dc4cdda70441387b43e0da to your computer and use it in GitHub Desktop.
A simple RSA implementation for small numbers
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
#include<iostream> | |
#include <vector> | |
using namespace std; | |
using LLong = long long int; | |
LLong gcd(LLong a, LLong b){ | |
return (b ? gcd(b,a%b):a); | |
} | |
LLong odwr_mod(LLong a, LLong mod){ | |
for(LLong i = 0; i<mod; i++) | |
if(a*i % mod ==1) | |
return i; | |
return -1; | |
} | |
LLong power_mod(LLong value, LLong exp, LLong mod){ | |
if(exp == 0) | |
return 1; | |
if(exp % 2 == 0){ | |
LLong a = (power_mod(value,exp/2, mod))%mod; | |
return (a*a)%mod; | |
} | |
return (power_mod(value, (exp-1), mod)*(value%mod))%mod; | |
} | |
int main(){ | |
const int p=17,q=11; | |
LLong n = p*q; | |
LLong phi = (p-1)*(q-1); | |
LLong e = 3; | |
while(gcd(e,phi)!=1) | |
e++; | |
LLong d = odwr_mod(e,phi); | |
cout<<"Public key = "<<e<<endl<<"Private key = "<<d<<endl<<"Modulo = "<<n<<endl; | |
auto print_tab = [](vector<LLong>&tab){ | |
for(auto i : tab) | |
cout<<i<<" "; | |
cout<<endl; | |
}; | |
vector<LLong> tab({9,60,43,65,53,22,1}); | |
cout<<"Value: "; print_tab(tab); | |
for(auto& i : tab){ | |
i = power_mod(i,e,n); | |
} | |
cout<<"Encrypted: ";print_tab(tab); | |
for(auto& i : tab){ | |
i = power_mod(i,d,n); | |
} | |
cout<<"Decrypted: ";print_tab(tab); | |
} |
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment