Columnar Transposition Cipher - GeeksforGeeks (2024)

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Given a plain-text message and a numeric key, cipher/de-cipher the given text using Columnar Transposition Cipher The Columnar Transposition Cipher is a form of transposition cipher just like Rail Fence Cipher. Columnar Transposition involves writing the plaintext out in rows, and then reading the ciphertext off in columns one by one.

Examples:

EncryptionInput : Geeks for GeeksKey = HACKOutput : e kefGsGsrekoe_DecryptionInput : e kefGsGsrekoe_Key = HACKOutput : Geeks for Geeks EncryptionInput : Geeks on workKey = HACKOutput : e w_eoo_Gs kknr_DecryptionInput : e w_eoo_Gs kknr_Key = HACKOutput : Geeks on work

Encryption

In a transposition cipher, the order of the alphabets is re-arranged to obtain the cipher-text.

  1. The message is written out in rows of a fixed length, and then read out again column by column, and the columns are chosen in some scrambled order.
  2. Width of the rows and the permutation of the columns are usually defined by a keyword.
  3. For example, the word HACK is of length 4 (so the rows are of length 4), and the permutation is defined by the alphabetical order of the letters in the keyword. In this case, the order would be “3 1 2 4”.
  4. Any spare spaces are filled with nulls or left blank or placed by a character (Example: _).
  5. Finally, the message is read off in columns, in the order specified by the keyword.

Columnar Transposition Cipher - GeeksforGeeks (3)

Decryption

  1. To decipher it, the recipient has to work out the column lengths by dividing the message length by the key length.
  2. Then, write the message out in columns again, then re-order the columns by reforming the key word.
C++
// CPP program for illustrating// Columnar Transposition Cipher#include <bits/stdc++.h>using namespace std;// Encription functionstring Encryption(int no_rows, int len_key, int len_msg, string msg, int col_val[]){ int x = 0; char enc_mat[no_rows + 1][len_key]; // creating the matrix for (int i = 0; i < no_rows + 1; i++) { for (int j = 0; j < len_key; j++) { // initializes the positions with '_' after the // end of message if (x >= len_msg) { enc_mat[i][j] = '_'; } else { enc_mat[i][j] = msg[x]; } x++; } } int t = 1; string cipher = ""; // finding the cipher text according to the value of // col_val matrix while (t <= len_key) { for (int i = 0; i < len_key; i++) { int k = col_val[i]; if (k == t) { for (int j = 0; j < no_rows + 1; j++) { cipher += enc_mat[j][i]; } t++; } } } return cipher;}// decryption functionstring Decryption(int no_rows, int len_key, string cipher, int col_val[]){ char dec_mat[no_rows + 1][len_key]; int x = 0, t = 1; // rearrange the matrix according to the col_val while (t <= len_key) { for (int i = 0; i < len_key; i++) { int k = col_val[i]; if (k == t) { for (int j = 0; j < no_rows + 1; j++) { dec_mat[j][i] = cipher[x]; x++; } t++; } } } string message = ""; for (int i = 0; i < no_rows + 1; i++) { for (int j = 0; j < len_key; j++) { // replacing the '_' with space if (dec_mat[i][j] == '_') { dec_mat[i][j] = ' '; } message += dec_mat[i][j]; } } return message;}int main(){ // message string msg = "Geeks for Geeks"; // key string key = "HACK"; int len_key = key.length(); int len_msg = msg.length(); int val = 1, count = 0, ind; int col_val[len_key]; // intializing col_val matrix with 0 memset(col_val, 0, sizeof(col_val)); // numbering the key alphabets according to its ACII // value while (count < len_key) { int min = 999; for (int i = 0; i < len_key; i++) { if ((min > int(key[i])) && (col_val[i] == 0)) { min = int(key[i]); ind = i; } } col_val[ind] = val; count++; val++; } int no_rows = len_msg / len_key; // encrypted text string cipher_text = " "; cipher_text = Encryption(no_rows, len_key, len_msg, msg, col_val); cout << "Encrypted Message : " << cipher_text << endl; // decrypted text string original_msg = " "; original_msg = Decryption(no_rows, len_key, cipher_text, col_val); cout << "Decrypted Message : " << original_msg << endl;}// This code is contributed by Suchita Gond
Java
import java.util.*;public class ColumnarTranspositionCipher { // Key for Columnar Transposition static final String key = "HACK"; static Map<Character, Integer> keyMap = new HashMap<>(); static void setPermutationOrder() { // Add the permutation order into the map for (int i = 0; i < key.length(); i++) { keyMap.put(key.charAt(i), i); } } // Encryption static String encryptMessage(String msg) { int row, col; StringBuilder cipher = new StringBuilder(); /* Calculate the number of columns in the matrix */ col = key.length(); /* Calculate the maximum number of rows in the matrix */ row = (int) Math.ceil((double) msg.length() / col); char[][] matrix = new char[row][col]; for (int i = 0, k = 0; i < row; i++) { for (int j = 0; j < col; ) { if (k < msg.length()) { char ch = msg.charAt(k); if (Character.isLetter(ch) || ch == ' ') { matrix[i][j] = ch; j++; } k++; } else { /* Add padding character '_' */ matrix[i][j] = '_'; j++; } } } for (Map.Entry<Character, Integer> entry : keyMap.entrySet()) { int columnIndex = entry.getValue(); // Get the cipher text from the matrix column-wise using the permuted key for (int i = 0; i < row; i++) { if (Character.isLetter(matrix[i][columnIndex]) || matrix[i][columnIndex] == ' ' || matrix[i][columnIndex] == '_') { cipher.append(matrix[i][columnIndex]); } } } return cipher.toString(); } // Decryption static String decryptMessage(String cipher) { /* Calculate the number of columns for the cipher matrix */ int col = key.length(); int row = (int) Math.ceil((double) cipher.length() / col); char[][] cipherMat = new char[row][col]; /* Add characters into the matrix column-wise */ int k = 0; for (int j = 0; j < col; j++) { for (int i = 0; i < row; i++) { cipherMat[i][j] = cipher.charAt(k); k++; } } /* Update the order of the key for decryption */ int index = 0; for (Map.Entry<Character, Integer> entry : keyMap.entrySet()) { entry.setValue(index++); } /* Arrange the matrix column-wise according to the permutation order */ char[][] decCipher = new char[row][col]; for (int l = 0; l < key.length(); l++) { int columnIndex = keyMap.get(key.charAt(l)); for (int i = 0; i < row; i++) { decCipher[i][l] = cipherMat[i][columnIndex]; } } /* Get the message using the matrix */ StringBuilder msg = new StringBuilder(); for (int i = 0; i < row; i++) { for (int j = 0; j < col; j++) { if (decCipher[i][j] != '_') { msg.append(decCipher[i][j]); } } } return msg.toString(); } public static void main(String[] args) { /* Message */ String msg = "Geeks for Geeks"; setPermutationOrder(); // Calling encryption function String cipher = encryptMessage(msg); System.out.println("Encrypted Message: " + cipher); // Calling Decryption function System.out.println("Decrypted Message: " + decryptMessage(cipher)); }}
Python
# Python3 implementation of# Columnar Transpositionimport mathkey = "HACK"# Encryptiondef encryptMessage(msg): cipher = "" # track key indices k_indx = 0 msg_len = float(len(msg)) msg_lst = list(msg) key_lst = sorted(list(key)) # calculate column of the matrix col = len(key) # calculate maximum row of the matrix row = int(math.ceil(msg_len / col)) # add the padding character '_' in empty # the empty cell of the matix fill_null = int((row * col) - msg_len) msg_lst.extend('_' * fill_null) # create Matrix and insert message and # padding characters row-wise matrix = [msg_lst[i: i + col] for i in range(0, len(msg_lst), col)] # read matrix column-wise using key for _ in range(col): curr_idx = key.index(key_lst[k_indx]) cipher += ''.join([row[curr_idx] for row in matrix]) k_indx += 1 return cipher# Decryptiondef decryptMessage(cipher): msg = "" # track key indices k_indx = 0 # track msg indices msg_indx = 0 msg_len = float(len(cipher)) msg_lst = list(cipher) # calculate column of the matrix col = len(key) # calculate maximum row of the matrix row = int(math.ceil(msg_len / col)) # convert key into list and sort # alphabetically so we can access # each character by its alphabetical position. key_lst = sorted(list(key)) # create an empty matrix to # store deciphered message dec_cipher = [] for _ in range(row): dec_cipher += [[None] * col] # Arrange the matrix column wise according # to permutation order by adding into new matrix for _ in range(col): curr_idx = key.index(key_lst[k_indx]) for j in range(row): dec_cipher[j][curr_idx] = msg_lst[msg_indx] msg_indx += 1 k_indx += 1 # convert decrypted msg matrix into a string try: msg = ''.join(sum(dec_cipher, [])) except TypeError: raise TypeError("This program cannot", "handle repeating words.") null_count = msg.count('_') if null_count > 0: return msg[: -null_count] return msg# Driver Codemsg = "Geeks for Geeks"cipher = encryptMessage(msg)print("Encrypted Message: {}". format(cipher))print("Decryped Message: {}". format(decryptMessage(cipher)))# This code is contributed by Aditya K
C#
using System;using System.Collections.Generic;public class ColumnarTranspositionCipher { // Key for Columnar Transposition static readonly string key = "HACK"; static Dictionary<char, int> keyMap = new Dictionary<char, int>(); static void SetPermutationOrder() { // Add the permutation order into the dictionary for (int i = 0; i < key.Length; i++) { keyMap[key[i]] = i; } } // Encryption static string EncryptMessage(string msg) { int row, col; System.Text.StringBuilder cipher = new System.Text.StringBuilder(); /* Calculate the number of columns in the matrix */ col = key.Length; /* Calculate the maximum number of rows in the * matrix */ row = (int)Math.Ceiling((double)msg.Length / col); char[, ] matrix = new char[row, col]; for (int i = 0, k = 0; i < row; i++) { for (int j = 0; j < col;) { if (k < msg.Length) { char ch = msg[k]; if (char.IsLetter(ch) || ch == ' ') { matrix[i, j] = ch; j++; } k++; } else { /* Add padding character '_' */ matrix[i, j] = '_'; j++; } } } foreach( var entry in new Dictionary<char, int>(keyMap)) { int columnIndex = entry.Value; // Get the cipher text from the matrix // column-wise using the permuted key for (int i = 0; i < row; i++) { if (char.IsLetter(matrix[i, columnIndex]) || matrix[i, columnIndex] == ' ' || matrix[i, columnIndex] == '_') { cipher.Append(matrix[i, columnIndex]); } } } return cipher.ToString(); } // Decryption static string DecryptMessage(string cipher) { /* Calculate the number of columns for the cipher * matrix */ int col = key.Length; int row = (int)Math.Ceiling((double)cipher.Length / col); char[, ] cipherMat = new char[row, col]; /* Add characters into the matrix column-wise */ int k = 0; for (int j = 0; j < col; j++) { for (int i = 0; i < row; i++) { cipherMat[i, j] = cipher[k]; k++; } } /* Update the order of the key for decryption */ int index = 0; foreach( var entry in new Dictionary<char, int>(keyMap)) { keyMap[entry.Key] = index++; } /* Arrange the matrix column-wise according to the * permutation order */ char[, ] decCipher = new char[row, col]; foreach(var entry in keyMap) { int columnIndex = entry.Value; for (int i = 0; i < row; i++) { decCipher[i, columnIndex] = cipherMat[i, columnIndex]; } } /* Get the message using the matrix */ System.Text.StringBuilder msg = new System.Text.StringBuilder(); for (int i = 0; i < row; i++) { for (int j = 0; j < col; j++) { if (decCipher[i, j] != '_') { msg.Append(decCipher[i, j]); } } } return msg.ToString(); } public static void Main(string[] args) { /* Message */ string msg = "Geeks for Geeks"; SetPermutationOrder(); // Calling encryption function string cipher = EncryptMessage(msg); Console.WriteLine("Encrypted Message: " + cipher); // Calling Decryption function Console.WriteLine("Decrypted Message: " + DecryptMessage(cipher)); }}
JavaScript
// JavaScript implementation of // Columnar Transpositionconst key = "HACK";// Encryptionfunction encryptMessage(msg) { let cipher = ""; // track key indices let k_indx = 0; const msg_len = msg.length; const msg_lst = Array.from(msg); const key_lst = Array.from(key).sort(); // calculate column of the matrix const col = key.length; // calculate maximum row of the matrix const row = Math.ceil(msg_len / col); // add the padding character '_' in empty // the empty cell of the matrix const fill_null = (row * col) - msg_len; for (let i = 0; i < fill_null; i++) { msg_lst.push('_'); } // create Matrix and insert message and // padding characters row-wise const matrix = []; for (let i = 0; i < msg_lst.length; i += col) { matrix.push(msg_lst.slice(i, i + col)); } // read matrix column-wise using key for (let _ = 0; _ < col; _++) { const curr_idx = key.indexOf(key_lst[k_indx]); for (const row of matrix) { cipher += row[curr_idx]; } k_indx++; } return cipher;}// Decryptionfunction decryptMessage(cipher) { let msg = ""; // track key indices let k_indx = 0; // track msg indices let msg_indx = 0; const msg_len = cipher.length; const msg_lst = Array.from(cipher); // calculate column of the matrix const col = key.length; // calculate maximum row of the matrix const row = Math.ceil(msg_len / col); // convert key into list and sort  // alphabetically so we can access  // each character by its alphabetical position. const key_lst = Array.from(key).sort(); // create an empty matrix to  // store deciphered message const dec_cipher = []; for (let i = 0; i < row; i++) { dec_cipher.push(Array(col).fill(null)); } // Arrange the matrix column wise according  // to permutation order by adding into a new matrix for (let _ = 0; _ < col; _++) { const curr_idx = key.indexOf(key_lst[k_indx]); for (let j = 0; j < row; j++) { dec_cipher[j][curr_idx] = msg_lst[msg_indx]; msg_indx++; } k_indx++; } // convert decrypted msg matrix into a string try { msg = dec_cipher.flat().join(''); } catch (err) { throw new Error("This program cannot handle repeating words."); } const null_count = (msg.match(/_/g) || []).length; if (null_count > 0) { return msg.slice(0, -null_count); } return msg;}// Driver Codeconst msg = "Geeks for Geeks";const cipher = encryptMessage(msg);console.log("Encrypted Message: " + cipher);console.log("Decrypted Message: " + decryptMessage(cipher));// This code is contributed by phasing17

Output

Encrypted Message : e kefGsGsrekoe_Decrypted Message : Geeks for Geeks 


Y

Yasin Zafar

Columnar Transposition Cipher - GeeksforGeeks (4)

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Columnar Transposition Cipher - GeeksforGeeks (5)

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'); $('.spinner-loading-overlay').show(); jQuery.ajax({ url: writeApiUrl + 'create-improvement-post/?v=1', type: "POST", contentType: 'application/json; charset=utf-8', dataType: 'json', xhrFields: { withCredentials: true }, data: JSON.stringify({ gfg_id: post_id, }), success:function(result) { $('.spinner-loading-overlay:eq(0)').remove(); $('.improve-modal--overlay').hide(); $('.unlocked-status--improve-modal-content').css("display","none"); $('.create-improvement-redirection-to-write').attr('href',writeUrl + 'improve-post/' + `${result.id}` + '/', '_blank'); $('.create-improvement-redirection-to-write')[0].click(); }, error:function(e) { $('.spinner-loading-overlay:eq(0)').remove(); var result = e.responseJSON; if(result.detail.non_field_errors.length){ $('.improve-modal--improve-content .improve-modal--improve-content-modified').text(`${result.detail.non_field_errors}.`); jQuery('.improve-modal--overlay').show(); jQuery('.improve-modal--improvement').show(); $('.locked-status--impove-modal').css("display","block"); $('.unlocked-status--improve-modal-content').css("display","none"); $('.improve-modal--improvement').attr("status","locked"); $('.improvement-reason-modal').hide(); } }, }); return; } var improvement_reason_html = ""; for(var comment of commentArray) { // loop creating improvement reason list markup var comment_id = comment['id']; var comment_text = comment['suggestion']; improvement_reason_html += `

${comment_text}

`; } $('.improvement-reasons_wrapper').html(improvement_reason_html); $('.improvement-bottom-btn').html("Create Improvement"); $('.improve-modal--improvement').hide(); $('.improvement-reason-modal').show(); }, error: function(e){ $('.spinner-loading-overlay:eq(0)').remove(); // stop loader when ajax failed; }, }); }, error:function(e) { $('.spinner-loading-overlay:eq(0)').remove(); var result = e.responseJSON; if(result.detail.non_field_errors.length){ $('.improve-modal--improve-content .improve-modal--improve-content-modified').text(`${result.detail.non_field_errors}.`); jQuery('.improve-modal--overlay').show(); jQuery('.improve-modal--improvement').show(); $('.locked-status--impove-modal').css("display","block"); $('.unlocked-status--improve-modal-content').css("display","none"); $('.improve-modal--improvement').attr("status","locked"); $('.improvement-reason-modal').hide(); } }, }); } else { if(loginData && !loginData.isLoggedIn) { $('.improve-modal--overlay').hide(); if ($('.header-main__wrapper').find('.header-main__signup.login-modal-btn').length) { $('.header-main__wrapper').find('.header-main__signup.login-modal-btn').click(); } return; } } }); $('.left-arrow-icon_wrapper').on('click',function(){ if($('.improve-modal--suggestion').is(":visible")) $('.improve-modal--suggestion').hide(); else{ $('.improvement-reason-modal').hide(); } $('.improve-modal--improvement').show(); }); function loadScript(src, callback) { var script = document.createElement('script'); script.src = src; script.onload = callback; document.head.appendChild(script); } function suggestionCall() { var suggest_val = $.trim($("#suggestion-section-textarea").val()); var array_String= suggest_val.split(" ") var gCaptchaToken = $("#g-recaptcha-response-suggestion-form").val(); var error_msg = false; if(suggest_val != "" && array_String.length >=4){ if(suggest_val.length <= 2000){ var payload = { "gfg_post_id" : `${post_id}`, "suggestion" : `

${suggest_val}

`, } if(!loginData || !loginData.isLoggedIn) // User is not logged in payload["g-recaptcha-token"] = gCaptchaToken jQuery.ajax({ type:'post', url: "https://apiwrite.geeksforgeeks.org/suggestions/auth/create/", xhrFields: { withCredentials: true }, crossDomain: true, contentType:'application/json', data: JSON.stringify(payload), success:function(data) { jQuery('.spinner-loading-overlay:eq(0)').remove(); jQuery('#suggestion-section-textarea').val(""); jQuery('.suggest-bottom-btn').css("display","none"); // Update the modal content const modalSection = document.querySelector('.suggestion-modal-section'); modalSection.innerHTML = `

Thank You!

Your suggestions are valuable to us.

You can now also contribute to the GeeksforGeeks community by creating improvement and help your fellow geeks.

`; }, error:function(data) { jQuery('.spinner-loading-overlay:eq(0)').remove(); jQuery('#suggestion-modal-alert').html("Something went wrong."); jQuery('#suggestion-modal-alert').show(); error_msg = true; } }); } else{ jQuery('.spinner-loading-overlay:eq(0)').remove(); jQuery('#suggestion-modal-alert').html("Minimum 5 Words and Maximum Character limit is 2000."); jQuery('#suggestion-modal-alert').show(); jQuery('#suggestion-section-textarea').focus(); error_msg = true; } } else{ jQuery('.spinner-loading-overlay:eq(0)').remove(); jQuery('#suggestion-modal-alert').html("Enter atleast four words !"); jQuery('#suggestion-modal-alert').show(); jQuery('#suggestion-section-textarea').focus(); error_msg = true; } if(error_msg){ setTimeout(() => { jQuery('#suggestion-section-textarea').focus(); jQuery('#suggestion-modal-alert').hide(); }, 3000); } } document.querySelector('.suggest-bottom-btn').addEventListener('click', function(){ jQuery('body').append('

'); jQuery('.spinner-loading-overlay').show(); if(loginData && loginData.isLoggedIn) { suggestionCall(); return; } // load the captcha script and set the token loadScript('https://www.google.com/recaptcha/api.js?render=6LdMFNUZAAAAAIuRtzg0piOT-qXCbDF-iQiUi9KY',[], function() { setGoogleRecaptcha(); }); }); $('.improvement-bottom-btn.create-improvement-btn').click(function() { //create improvement button is clicked $('body').append('

'); $('.spinner-loading-overlay').show(); // send this option via create-improvement-post api jQuery.ajax({ url: writeApiUrl + 'create-improvement-post/?v=1', type: "POST", contentType: 'application/json; charset=utf-8', dataType: 'json', xhrFields: { withCredentials: true }, data: JSON.stringify({ gfg_id: post_id }), success:function(result) { $('.spinner-loading-overlay:eq(0)').remove(); $('.improve-modal--overlay').hide(); $('.improvement-reason-modal').hide(); $('.create-improvement-redirection-to-write').attr('href',writeUrl + 'improve-post/' + `${result.id}` + '/', '_blank'); $('.create-improvement-redirection-to-write')[0].click(); }, error:function(e) { $('.spinner-loading-overlay:eq(0)').remove(); var result = e.responseJSON; if(result.detail.non_field_errors.length){ $('.improve-modal--improve-content .improve-modal--improve-content-modified').text(`${result.detail.non_field_errors}.`); jQuery('.improve-modal--overlay').show(); jQuery('.improve-modal--improvement').show(); $('.locked-status--impove-modal').css("display","block"); $('.unlocked-status--improve-modal-content').css("display","none"); $('.improve-modal--improvement').attr("status","locked"); $('.improvement-reason-modal').hide(); } }, }); });

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