Task: Vigenère cipher_Cryptanalysis


C++: #include <iostream>
#include <string>
#include <vector>
#include <map>
#include <algorithm>
#include <array>
using namespace std;

typedef array<pair<char, double>, 26> FreqArray;

class VigenereAnalyser 
{
private:
  array<double, 26> targets;
  array<double, 26> sortedTargets;
  FreqArray freq;

  
  FreqArray& frequency(const string& input) 
  {
    for (char c = 'A'; c <= 'Z'; ++c)
      freq[c - 'A'] = make_pair(c, 0);

    for (size_t i = 0; i < input.size(); ++i)
      freq[input[i] - 'A'].second++;

    return freq;
  }

  double correlation(const string& input) 
  {
    double result = 0.0;
    frequency(input);

    sort(freq.begin(), freq.end(), [](pair<char, double> u, pair<char, double> v)->bool
      { return u.second < v.second; });

    for (size_t i = 0; i < 26; ++i)
      result += freq[i].second * sortedTargets[i];

    return result;
  }

public:
  VigenereAnalyser(const array<double, 26>& targetFreqs) 
  {
    targets = targetFreqs;
    sortedTargets = targets;
    sort(sortedTargets.begin(), sortedTargets.end());
  }

  pair<string, string> analyze(string input) 
  {
    string cleaned;
    for (size_t i = 0; i < input.size(); ++i) 
    {
      if (input[i] >= 'A' && input[i] <= 'Z')
        cleaned += input[i];
      else if (input[i] >= 'a' && input[i] <= 'z')
        cleaned += input[i] + 'A' - 'a';
    }

    size_t bestLength = 0;
    double bestCorr = -100.0;

    
    
    for (size_t i = 2; i < cleaned.size() / 20; ++i) 
    {
      vector<string> pieces(i);
      for (size_t j = 0; j < cleaned.size(); ++j)
        pieces[j % i] += cleaned[j];

      
      
      double corr = -0.5*i;
      for (size_t j = 0; j < i; ++j)
        corr += correlation(pieces[j]);

      if (corr > bestCorr) 
      {
        bestLength = i;
        bestCorr = corr;
      }
    }

    if (bestLength == 0)
      return make_pair("Text is too short to analyze", "");

    vector<string> pieces(bestLength);
    for (size_t i = 0; i < cleaned.size(); ++i)
      pieces[i % bestLength] += cleaned[i];

    vector<FreqArray> freqs;
    for (size_t i = 0; i < bestLength; ++i)
      freqs.push_back(frequency(pieces[i]));

    string key = "";
    for (size_t i = 0; i < bestLength; ++i) 
    {
      sort(freqs[i].begin(), freqs[i].end(), [](pair<char, double> u, pair<char, double> v)->bool
        { return u.second > v.second; });

      size_t m = 0;
      double mCorr = 0.0;
      for (size_t j = 0; j < 26; ++j) 
      {
        double corr = 0.0;
        char c = 'A' + j;
        for (size_t k = 0; k < 26; ++k) 
        {
          int d = (freqs[i][k].first - c + 26) % 26;
          corr += freqs[i][k].second * targets[d];
        }

        if (corr > mCorr) 
        {
          m = j;
          mCorr = corr;
        }
      }

      key += m + 'A';
    }

    string result = "";
    for (size_t i = 0; i < cleaned.size(); ++i)
      result += (cleaned[i] - key[i % key.length()] + 26) % 26 + 'A';

    return make_pair(result, key);
  }
};

int main() 
{
  string input =
    "MOMUD EKAPV TQEFM OEVHP AJMII CDCTI FGYAG JSPXY ALUYM NSMYH"
    "VUXJE LEPXJ FXGCM JHKDZ RYICU HYPUS PGIGM OIYHF WHTCQ KMLRD"
    "ITLXZ LJFVQ GHOLW CUHLO MDSOE KTALU VYLNZ RFGBX PHVGA LWQIS"
    "FGRPH JOOFW GUBYI LAPLA LCAFA AMKLG CETDW VOELJ IKGJB XPHVG"
    "ALWQC SNWBU BYHCU HKOCE XJEYK BQKVY KIIEH GRLGH XEOLW AWFOJ"
    "ILOVV RHPKD WIHKN ATUHN VRYAQ DIVHX FHRZV QWMWV LGSHN NLVZS"
    "JLAKI FHXUF XJLXM TBLQV RXXHR FZXGV LRAJI EXPRV OSMNP KEPDT"
    "LPRWM JAZPK LQUZA ALGZX GVLKL GJTUI ITDSU REZXJ ERXZS HMPST"
    "MTEOE PAPJH SMFNB YVQUZ AALGA YDNMP AQOWT UHDBV TSMUE UIMVH"
    "QGVRW AEFSP EMPVE PKXZY WLKJA GWALT VYYOB YIXOK IHPDS EVLEV"
    "RVSGB JOGYW FHKBL GLXYA MVKIS KIEHY IMAPX UOISK PVAGN MZHPW"
    "TTZPV XFCCD TUHJH WLAPF YULTB UXJLN SIJVV YOVDJ SOLXG TGRVO"
    "SFRII CTMKO JFCQF KTINQ BWVHG TENLH HOGCS PSFPV GJOKM SIFPR"
    "ZPAAS ATPTZ FTPPD PORRF TAXZP KALQA WMIUD BWNCT LEFKO ZQDLX"
    "BUXJL ASIMR PNMBF ZCYLV WAPVF QRHZV ZGZEF KBYIO OFXYE VOWGB"
    "BXVCB XBAWG LQKCM ICRRX MACUO IKHQU AJEGL OIJHH XPVZW JEWBA"
    "FWAML ZZRXJ EKAHV FASMU LVVUT TGK";

  array<double, 26> english = {
    0.08167, 0.01492, 0.02782, 0.04253, 0.12702, 0.02228,
    0.02015, 0.06094, 0.06966, 0.00153, 0.00772, 0.04025,
    0.02406, 0.06749, 0.07507, 0.01929, 0.00095, 0.05987,
    0.06327, 0.09056, 0.02758, 0.00978, 0.02360, 0.00150,
    0.01974, 0.00074};

  VigenereAnalyser va(english);
  pair<string, string> output = va.analyze(input);

  cout << "Key: " << output.second << endl << endl;
  cout << "Text: " << output.first << endl;
}






Python: from string import uppercase
from operator import itemgetter

def vigenere_decrypt(target_freqs, input):
    nchars = len(uppercase)
    ordA = ord('A')
    sorted_targets = sorted(target_freqs)

    def frequency(input):
        result = [[c, 0.0] for c in uppercase]
        for c in input:
            result[c - ordA][1] += 1
        return result

    def correlation(input):
        result = 0.0
        freq = frequency(input)
        freq.sort(key=itemgetter(1))

        for i, f in enumerate(freq):
            result += f[1] * sorted_targets[i]
        return result

    cleaned = [ord(c) for c in input.upper() if c.isupper()]
    best_len = 0
    best_corr = -100.0

    
    
    for i in xrange(2, len(cleaned) // 20):
        pieces = [[] for _ in xrange(i)]
        for j, c in enumerate(cleaned):
            pieces[j % i].append(c)

        
        
        corr = -0.5 * i + sum(correlation(p) for p in pieces)

        if corr > best_corr:
            best_len = i
            best_corr = corr

    if best_len == 0:
        return ("Text is too short to analyze", "")

    pieces = [[] for _ in xrange(best_len)]
    for i, c in enumerate(cleaned):
        pieces[i % best_len].append(c)

    freqs = [frequency(p) for p in pieces]

    key = ""
    for fr in freqs:
        fr.sort(key=itemgetter(1), reverse=True)

        m = 0
        max_corr = 0.0
        for j in xrange(nchars):
            corr = 0.0
            c = ordA + j
            for frc in fr:
                d = (ord(frc[0]) - c + nchars) % nchars
                corr += frc[1] * target_freqs[d]

            if corr > max_corr:
                m = j
                max_corr = corr

        key += chr(m + ordA)

    r = (chr((c - ord(key[i % best_len]) + nchars) % nchars + ordA)
         for i, c in enumerate(cleaned))
    return (key, "".join(r))


def main():
    encoded = 

    english_frequences = [
        0.08167, 0.01492, 0.02782, 0.04253, 0.12702, 0.02228, 0.02015,
        0.06094, 0.06966, 0.00153, 0.00772, 0.04025, 0.02406, 0.06749,
        0.07507, 0.01929, 0.00095, 0.05987, 0.06327, 0.09056, 0.02758,
        0.00978, 0.02360, 0.00150, 0.01974, 0.00074]

    (key, decoded) = vigenere_decrypt(english_frequences, encoded)
    print "Key:", key
    print "\nText:", decoded

main()