# Decrypt a message which is encrypted using XOR? [duplicate]

This is a puzzle asked in a contest. Given that encryption , decryption happens as per following rule/code:

    Encrypt(PlainTextBytes, KeyBytes){
for(int i = 0;i < PlainTextBytes.length; i++) {
Cipherbytes[i] = PlainTextBytes[i] ^ KeyBytes[i];
}
return Cipherbytes;
}

Decrypt(Cipherbytes, Keybytes){
for(int i = 0; i < Cipherbytes.length; i++) {
Plaintextbytes[i] = Cipherbytes[i] ^ Keybytes[i];
}
return Plaintextbytes;
}

Send(message){
Convert key to keyBytes and message to messageBytes using ASCII encoding
print "Message to be sent: ", encrypt(messagebytes, keybytes)
}

key = Read from file "SymmetricKey.txt"
print "Message for you : " , decrypt(receivedmessagebytes, keybytes)
}


Given 3 encrypted message sequences as follows

    120, 84, 25, 1, 15, 17, 42, 21, 9, 12, 3, 49, 8, 29, 82, 31, 87, 118, 88, 92, 93

125, 87, 44, 7, 31, 41, 6, 8, 17, 51, 14, 17, 42, 27, 86, 19, 66, 92, 88, 86, 7

123, 84, 16, 28, 9, 10, 4, 2, 31, 55, 7, 6, 13, 61, 91, 62, 89, 91, 83, 87, 86


Some one has discovered that there is some flaw in encryption. IMO flaw doesn't lie with code it's in Cipherbytes. Cipherbytes may be having some patterns so that we can decrypt this message.

Is there a way I could get the source message of these three encrypted messages?

I have look at How does one attack a two-time pad (i.e. one time pad with key reuse)? That question is different from this since that assumed that cipher text uses same pattern to encrypt in this case it's not true . I wrote simple program to test nothing prints on output.

as

char a1[ ]={120, 84, 25, 1, 15, 17, 42, 21, 9, 12, 3, 49, 8, 29, 82, 31, 87, 118, 88, 92, 93 };
char a2[ ]={125, 87, 44, 7, 31, 41, 6, 8, 17, 51, 14, 17, 42, 27, 86, 19, 66, 92, 88, 86, 7};
char a3[ ]={123, 84, 16, 28, 9, 10, 4, 2, 31, 55, 7, 6, 13, 61, 91, 62, 89, 91, 83, 87, 86 };

for(i=0;i<256;i++){
for(int l=0;l<22;l++){
s1[l] =  (a1[l]^i)^a2[l];
s2[l] =  (a1[l]^i)^a3[l];
}
flag=1;
for(k=0;k<22;k++){
if(s1[k]!=s2[k])flag=0;
}
if(flag){
for(int k=0;k<22;k++){
cout<<(s1[k]^a1[k]^a2[k])<<" ";
}
cout<<"\n";
}
}

• This question is off-topic because it is about debugging some code. Feb 2, 2015 at 14:59
• "flow" or "flaw"? As your question as been deemed off-topic, I suggest you look at the help-center to see what types of questions we expect here. BTW, welcome to the site. Feb 2, 2015 at 15:13
• @Gilles you don't have to debug this code . We have to find message with regard to given 3 sequence.
– john
Feb 2, 2015 at 15:30
• So just to be clear, there is no debugging of the code. The flaw is in the cipher. And you are wondering how to get the plaintexts given the three ciphertexts, correct? Feb 2, 2015 at 16:17
• Assuming KeyBytes and PlainTextBytes are the same length, then this is basically reusing a one-time-pad. We have had a number of questions on here related to that here and here Feb 2, 2015 at 16:18