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Rail Fence Cipher - криптиране и декриптиране

Дадено е съобщение в обикновен текст и цифров ключ за шифиране/дешифриране на дадения текст с помощта на алгоритъм Rail Fence. 
Шифърът на релсовата ограда (наричан още зигзагообразен шифър) е форма на транспониращ шифър. Той получава името си от начина, по който е кодиран. 
Примери:  

    Encryption     
Input : 'GeeksforGeeks '
Key = 3
Output : GsGsekfrek eoe
Decryption
Input : GsGsekfrek eoe
Key = 3
Output : 'GeeksforGeeks '

Encryption
Input : 'defend the east wall'
Key = 3
Output : dnhaweedtees alf tl
Decryption
Input : dnhaweedtees alf tl
Key = 3
Output : defend the east wall

Encryption
Input : 'attack at once'
Key = 2
Output : atc toctaka ne
Decryption
Input : 'atc toctaka ne'
Key = 2
Output : attack at once

Шифроване

В шифъра за транспониране редът на азбуките се пренарежда, за да се получи шифрованият текст. 



  • В шифъра на релсовата ограда обикновеният текст е написан надолу и диагонално върху последователни релси на въображаема ограда.
  • Когато стигнем до долната релса, преминаваме нагоре, движейки се по диагонал, след като достигнем горната релса, посоката се променя отново. Така азбуките на съобщението са изписани на зиг-заг.
  • След като всяка азбука е написана, отделните редове се комбинират, за да се получи шифрован текст.


Например, ако съобщението е „GeeksforGeeks“ и броят на релсите = 3, тогава шифърът се подготвя като: 
 

Алгоритъм за релсова ограда' src='//techcodeview.com/img/dsa/69/rail-fence-cipher-encryption-and-decryption.webp' title=.'.Неговото криптиране ще бъде направено по ред, т.е. GSGSEKFREKEOE


 

Декриптиране

Както видяхме по-рано, броят на колоните в шифъра на релсовата ограда остава равен на дължината на съобщението в обикновен текст. И ключът отговаря на броя на релсите.
 

  • Следователно релсовата матрица може да бъде конструирана съответно. След като получим матрицата, можем да определим местата, където трябва да бъдат поставени текстовете (използвайки същия начин на алтернативно движение по диагонал нагоре и надолу).
  • След това попълваме правилно реда с шифрован текст. След като го попълним, обикаляме матрицата на зиг-заг, за да получим оригиналния текст.


Изпълнение: 
Нека cipher-text = 'GsGsekfrek eoe' и Key = 3 
 

  • Брой колони в матрицата = len(cipher-text) = 13
  • Брой редове = ключ = 3


Следователно оригиналната матрица ще бъде от 3*13, сега маркирайки места с текст като '*', получаваме 
 

* _ _ _ * _ _ _ * _ _ _ *  
_ * _ * _ * _ * _ * _ *
_ _ * _ _ _ * _ _ _ * _


По-долу е дадена програма за криптиране/декриптиране на съобщението с помощта на горния алгоритъм. 
 

C++
// C++ program to illustrate Rail Fence Cipher // Encryption and Decryption #include    using namespace std; // function to encrypt a message string encryptRailFence(string text int key) {  // create the matrix to cipher plain text  // key = rows  length(text) = columns  char rail[key][(text.length())];  // filling the rail matrix to distinguish filled  // spaces from blank ones  for (int i=0; i < key; i++)  for (int j = 0; j < text.length(); j++)  rail[i][j] = 'n';  // to find the direction  bool dir_down = false;  int row = 0 col = 0;  for (int i=0; i < text.length(); i++)  {  // check the direction of flow  // reverse the direction if we've just  // filled the top or bottom rail  if (row == 0 || row == key-1)  dir_down = !dir_down;  // fill the corresponding alphabet  rail[row][col++] = text[i];  // find the next row using direction flag  dir_down?row++ : row--;  }  //now we can construct the cipher using the rail matrix  string result;  for (int i=0; i < key; i++)  for (int j=0; j < text.length(); j++)  if (rail[i][j]!='n')  result.push_back(rail[i][j]);  return result; } // This function receives cipher-text and key // and returns the original text after decryption string decryptRailFence(string cipher int key) {  // create the matrix to cipher plain text  // key = rows  length(text) = columns  char rail[key][cipher.length()];  // filling the rail matrix to distinguish filled  // spaces from blank ones  for (int i=0; i < key; i++)  for (int j=0; j < cipher.length(); j++)  rail[i][j] = 'n';  // to find the direction  bool dir_down;  int row = 0 col = 0;  // mark the places with '*'  for (int i=0; i < cipher.length(); i++)  {  // check the direction of flow  if (row == 0)  dir_down = true;  if (row == key-1)  dir_down = false;  // place the marker  rail[row][col++] = '*';  // find the next row using direction flag  dir_down?row++ : row--;  }  // now we can construct the fill the rail matrix  int index = 0;  for (int i=0; i<key; i++)  for (int j=0; j<cipher.length(); j++)  if (rail[i][j] == '*' && index<cipher.length())  rail[i][j] = cipher[index++];  // now read the matrix in zig-zag manner to construct  // the resultant text  string result;  row = 0 col = 0;  for (int i=0; i< cipher.length(); i++)  {  // check the direction of flow  if (row == 0)  dir_down = true;  if (row == key-1)  dir_down = false;  // place the marker  if (rail[row][col] != '*')  result.push_back(rail[row][col++]);  // find the next row using direction flag  dir_down?row++: row--;  }  return result; } //driver program to check the above functions int main() {  cout << encryptRailFence('attack at once' 2) << endl;  cout << encryptRailFence('GeeksforGeeks ' 3) << endl;  cout << encryptRailFence('defend the east wall' 3) << endl;  //Now decryption of the same cipher-text  cout << decryptRailFence('GsGsekfrek eoe'3) << endl;  cout << decryptRailFence('atc toctaka ne'2) << endl;  cout << decryptRailFence('dnhaweedtees alf tl'3) << endl;  return 0; } 
Java
// Java program to illustrate Rail Fence Cipher // Encryption and Decryption import java.util.Arrays; class RailFence {  // function to encrypt a message  public static String encryptRailFence(String text  int key)  {  // create the matrix to cipher plain text  // key = rows  length(text) = columns  char[][] rail = new char[key][text.length()];  // filling the rail matrix to distinguish filled  // spaces from blank ones  for (int i = 0; i < key; i++)  Arrays.fill(rail[i] 'n');  boolean dirDown = false;  int row = 0 col = 0;  for (int i = 0; i < text.length(); i++) {  // check the direction of flow  // reverse the direction if we've just  // filled the top or bottom rail  if (row == 0 || row == key - 1)  dirDown = !dirDown;  // fill the corresponding alphabet  rail[row][col++] = text.charAt(i);  // find the next row using direction flag  if (dirDown)  row++;  else  row--;  }  // now we can construct the cipher using the rail  // matrix  StringBuilder result = new StringBuilder();  for (int i = 0; i < key; i++)  for (int j = 0; j < text.length(); j++)  if (rail[i][j] != 'n')  result.append(rail[i][j]);  return result.toString();  }  // This function receives cipher-text and key  // and returns the original text after decryption  public static String decryptRailFence(String cipher  int key)  {  // create the matrix to cipher plain text  // key = rows  length(text) = columns  char[][] rail = new char[key][cipher.length()];  // filling the rail matrix to distinguish filled  // spaces from blank ones  for (int i = 0; i < key; i++)  Arrays.fill(rail[i] 'n');  // to find the direction  boolean dirDown = true;  int row = 0 col = 0;  // mark the places with '*'  for (int i = 0; i < cipher.length(); i++) {  // check the direction of flow  if (row == 0)  dirDown = true;  if (row == key - 1)  dirDown = false;  // place the marker  rail[row][col++] = '*';  // find the next row using direction flag  if (dirDown)  row++;  else  row--;  }  // now we can construct the fill the rail matrix  int index = 0;  for (int i = 0; i < key; i++)  for (int j = 0; j < cipher.length(); j++)  if (rail[i][j] == '*'  && index < cipher.length())  rail[i][j] = cipher.charAt(index++);  StringBuilder result = new StringBuilder();  row = 0;  col = 0;  for (int i = 0; i < cipher.length(); i++) {  // check the direction of flow  if (row == 0)  dirDown = true;  if (row == key - 1)  dirDown = false;  // place the marker  if (rail[row][col] != '*')  result.append(rail[row][col++]);  // find the next row using direction flag  if (dirDown)  row++;  else  row--;  }  return result.toString();  }  // driver program to check the above functions  public static void main(String[] args)  {  // Encryption  System.out.println('Encrypted Message: ');  System.out.println(  encryptRailFence('attack at once' 2));  System.out.println(  encryptRailFence('GeeksforGeeks ' 3));  System.out.println(  encryptRailFence('defend the east wall' 3));  // Now decryption of the same cipher-text  System.out.println('nDecrypted Message: ');  System.out.println(  decryptRailFence('atc toctaka ne' 2));  System.out.println(  decryptRailFence('GsGsekfrek eoe' 3));  System.out.println(  decryptRailFence('dnhaweedtees alf tl' 3));  } } // This code is contributed by Jay 
Python3
# Python3 program to illustrate # Rail Fence Cipher Encryption # and Decryption # function to encrypt a message def encryptRailFence(text key): # create the matrix to cipher # plain text key = rows  # length(text) = columns # filling the rail matrix # to distinguish filled # spaces from blank ones rail = [['n' for i in range(len(text))] for j in range(key)] # to find the direction dir_down = False row col = 0 0 for i in range(len(text)): # check the direction of flow # reverse the direction if we've just # filled the top or bottom rail if (row == 0) or (row == key - 1): dir_down = not dir_down # fill the corresponding alphabet rail[row][col] = text[i] col += 1 # find the next row using # direction flag if dir_down: row += 1 else: row -= 1 # now we can construct the cipher # using the rail matrix result = [] for i in range(key): for j in range(len(text)): if rail[i][j] != 'n': result.append(rail[i][j]) return('' . join(result)) # This function receives cipher-text # and key and returns the original # text after decryption def decryptRailFence(cipher key): # create the matrix to cipher # plain text key = rows  # length(text) = columns # filling the rail matrix to # distinguish filled spaces # from blank ones rail = [['n' for i in range(len(cipher))] for j in range(key)] # to find the direction dir_down = None row col = 0 0 # mark the places with '*' for i in range(len(cipher)): if row == 0: dir_down = True if row == key - 1: dir_down = False # place the marker rail[row][col] = '*' col += 1 # find the next row # using direction flag if dir_down: row += 1 else: row -= 1 # now we can construct the # fill the rail matrix index = 0 for i in range(key): for j in range(len(cipher)): if ((rail[i][j] == '*') and (index < len(cipher))): rail[i][j] = cipher[index] index += 1 # now read the matrix in # zig-zag manner to construct # the resultant text result = [] row col = 0 0 for i in range(len(cipher)): # check the direction of flow if row == 0: dir_down = True if row == key-1: dir_down = False # place the marker if (rail[row][col] != '*'): result.append(rail[row][col]) col += 1 # find the next row using # direction flag if dir_down: row += 1 else: row -= 1 return(''.join(result)) # Driver code if __name__ == '__main__': print(encryptRailFence('attack at once' 2)) print(encryptRailFence('GeeksforGeeks ' 3)) print(encryptRailFence('defend the east wall' 3)) # Now decryption of the # same cipher-text print(decryptRailFence('GsGsekfrek eoe' 3)) print(decryptRailFence('atc toctaka ne' 2)) print(decryptRailFence('dnhaweedtees alf tl' 3)) # This code is contributed # by Pratik Somwanshi 
C#
using System; class GFG_RailFence {  // function to encrypt a message  public static string EncryptRailFence(string text int key) {  // create the matrix to cipher plain text  // key = rows length(text) = columns  char[] rail = new char[key text.Length];  // filling the rail matrix to distinguish filled  // spaces from blank ones  for (int i = 0; i < key; i++)  for (int j = 0; j < text.Length; j++)  rail[i j] = 'n';  bool dirDown = false;  int row = 0 col = 0;  for (int i = 0; i < text.Length; i++) {  // check the direction of flow  // reverse the direction if we've just  // filled the top or bottom rail  if (row == 0 || row == key - 1)  dirDown = !dirDown;  // fill the corresponding alphabet  rail[row col++] = text[i];  // find the next row using direction flag  if (dirDown)  row++;  else  row--;  }  // now we can construct the cipher using the rail  // matrix  string result = '';  for (int i = 0; i < key; i++)  for (int j = 0; j < text.Length; j++)  if (rail[i j] != 'n')  result += rail[i j];  return result;  }  // This function receives cipher-text and key  // and returns the original text after decryption  public static string DecryptRailFence(string cipher int key) {  // create the matrix to cipher plain text  // key = rows length(text) = columns  // create the matrix to cipher plain text  // key = rows  length(text) = columns  char[] rail = new char[key cipher.Length];  // filling the rail matrix to distinguish filled  // spaces from blank ones  for (int i = 0; i < key; i++)  for (int j = 0; j < cipher.Length; j++)  rail[i j] = 'n';  // to find the direction  bool dirDown = true;  int row = 0 col = 0;  // mark the places with '*'  for (int i = 0; i < cipher.Length; i++) {  // check the direction of flow  if (row == 0)  dirDown = true;  if (row == key - 1)  dirDown = false;  // place the marker  rail[row col++] = '*';  // find the next row using direction flag  if (dirDown)  row++;  else  row--;  }  // now we can construct the fill the rail matrix  int index = 0;  for (int i = 0; i < key; i++)  for (int j = 0; j < cipher.Length; j++)  if (rail[i j] == '*' && index < cipher.Length)  rail[i j] = cipher[index++];  // create the result string  string result = '';  row = 0;  col = 0;  // iterate through the rail matrix  for (int i = 0; i < cipher.Length; i++) {  // check the direction of flow  if (row == 0)  dirDown = true;  if (row == key - 1)  dirDown = false;  // place the marker  if (rail[row col] != '*')  result += rail[row col++];  // find the next row using direction flag  if (dirDown)  row++;  else  row--;  }  return result;  }  // driver program to check the above functions  public static void Main() {  // Encryption  Console.WriteLine('Encrypted Message: ');  Console.WriteLine(EncryptRailFence('attack at once' 2));  Console.WriteLine(  EncryptRailFence('GeeksforGeeks ' 3));  Console.WriteLine(  EncryptRailFence('defend the east wall' 3));  // Now decryption of the same cipher-text  Console.WriteLine('nDecrypted Message: ');  Console.WriteLine(  DecryptRailFence('atc toctaka ne' 2));  Console.WriteLine(  DecryptRailFence('GsGsekfrek eoe' 3));  Console.WriteLine(  DecryptRailFence('dnhaweedtees alf tl' 3));  } } 
JavaScript
// function to encrypt a message function encryptRailFence(text key) {  // create the matrix to cipher plain text  // key = rows  text.length = columns  let rail = new Array(key).fill().map(() => new Array(text.length).fill('n'));  // filling the rail matrix to distinguish filled  // spaces from blank ones  let dir_down = false;  let row = 0 col = 0;  for (let i = 0; i < text.length; i++) {  // check the direction of flow  // reverse the direction if we've just  // filled the top or bottom rail  if (row == 0 || row == key - 1) dir_down = !dir_down;  // fill the corresponding alphabet  rail[row][col++] = text[i];  // find the next row using direction flag  dir_down ? row++ : row--;  }  // now we can construct the cipher using the rail matrix  let result = '';  for (let i = 0; i < key; i++)  for (let j = 0; j < text.length; j++)  if (rail[i][j] != 'n') result += rail[i][j];  return result; } // function to decrypt a message function decryptRailFence(cipher key) {  // create the matrix to cipher plain text  // key = rows  text.length = columns  let rail = new Array(key).fill().map(() => new Array(cipher.length).fill('n'));  // filling the rail matrix to mark the places with '*'  let dir_down = false;  let row = 0 col = 0;  for (let i = 0; i < cipher.length; i++) {  // check the direction of flow  if (row == 0) dir_down = true;  if (row == key - 1) dir_down = false;  // place the marker  rail[row][col++] = '*';  // find the next row using direction flag  dir_down ? row++ : row--;  }  // now we can construct the rail matrix by filling the marked places with cipher text  let index = 0;  for (let i = 0; i < key; i++)  for (let j = 0; j < cipher.length; j++)  if (rail[i][j] == '*' && index < cipher.length) rail[i][j] = cipher[index++];  // now read the matrix in zig-zag manner to construct the resultant text  let result = '';  row = 0 col = 0;  for (let i = 0; i < cipher.length; i++) {  // check the direction of flow  if (row == 0) dir_down = true;  if (row == key - 1) dir_down = false;  // place the marker  if (rail[row][col] != '*') result += rail[row][col++];  // find the next row using direction flag  dir_down ? row++ : row--;  }  return result; } // driver program to check the above functions  // Encryption console.log(encryptRailFence('attack at once' 2));  console.log(encryptRailFence('GeeksforGeeks' 3));  console.log(encryptRailFence('defend the east wall' 3)); // Now decryption of the same cipher-text console.log(decryptRailFence('GsGsekfrek eoe' 3)); console.log(decryptRailFence('atc toctaka ne' 2)); console.log(decryptRailFence('dnhaweedtees alf tl' 3)); 

Изход
atc toctaka ne GsGsekfrek eoe dnhaweedtees alf tl GeeksforGeeks attack at once defend the east wall 

Времева сложност: O(ред * колона)
Помощно пространство: O(ред * колона) 
препратки: 
https://en.wikipedia.org/wiki/Rail_fence_cipher
Тази статия е предоставена от Ашутош Кумар

 

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