feat(ciphers): Add PermutationCipher implementation(enhance #6697) (#6700)

* feat(ciphers): Add PermutationCipher implementation with comprehensive tests

- Implement PermutationCipher class for transposition encryption/decryption
- Add encrypt() and decrypt() methods with permutation key support
- Include robust key validation (1-based positions, no duplicates)
- Implement automatic padding for incomplete blocks using 'X' character
- Add comprehensive error handling with descriptive exceptions
- Create 20+ JUnit test cases covering encryption, decryption, edge cases
- Support various key sizes and text processing (spaces removal, case handling)
- Include detailed JavaDoc documentation with algorithm explanation

Algorithm Details:
- Divides plaintext into blocks based on key length
- Rearranges characters within each block according to permutation positions
- Supports round-trip encryption/decryption with inverse permutation
- Handles edge cases: empty strings, single character keys, padding

Tests include: basic functionality, different key sizes, error validation,
real-world examples, and edge case handling.

* Run PermutationCipherTest using Maven

* refactor(PermutationCipher): clean up code by removing unnecessary whitespace and comments

* fix(tests): remove unnecessary whitespace in test assertion for encryption

* fix(tests): correct indentation in assertion for encryption verification

---------

Co-authored-by: a <[email protected]>

Author: dheeraj1010

src/main/java/com/thealgorithms/ciphers/PermutationCipher.java

@@ -0,0 +1,194 @@
+package com.thealgorithms.ciphers;
+
+import java.util.HashSet;
+import java.util.Set;
+
+/**
+ * A Java implementation of Permutation Cipher.
+ * It is a type of transposition cipher in which the plaintext is divided into blocks
+ * and the characters within each block are rearranged according to a fixed permutation key.
+ *
+ * For example, with key {3, 1, 2} and plaintext "HELLO", the text is divided into blocks
+ * of 3 characters: "HEL" and "LO" (with padding). The characters are then rearranged
+ * according to the key positions.
+ *
+ * @author GitHub Copilot
+ */
+public class PermutationCipher {
+
+    private static final char PADDING_CHAR = 'X';
+
+    /**
+     * Encrypts the given plaintext using the permutation cipher with the specified key.
+     *
+     * @param plaintext the text to encrypt
+     * @param key the permutation key (array of integers representing positions)
+     * @return the encrypted text
+     * @throws IllegalArgumentException if the key is invalid
+     */
+    public String encrypt(String plaintext, int[] key) {
+        validateKey(key);
+
+        if (plaintext == null || plaintext.isEmpty()) {
+            return plaintext;
+        }
+
+        // Remove spaces and convert to uppercase for consistent processing
+        String cleanText = plaintext.replaceAll("\\s+", "").toUpperCase();
+
+        // Pad the text to make it divisible by key length
+        String paddedText = padText(cleanText, key.length);
+
+        StringBuilder encrypted = new StringBuilder();
+
+        // Process text in blocks of key length
+        for (int i = 0; i < paddedText.length(); i += key.length) {
+            String block = paddedText.substring(i, Math.min(i + key.length, paddedText.length()));
+            encrypted.append(permuteBlock(block, key));
+        }
+
+        return encrypted.toString();
+    }
+
+    /**
+     * Decrypts the given ciphertext using the permutation cipher with the specified key.
+     *
+     * @param ciphertext the text to decrypt
+     * @param key the permutation key (array of integers representing positions)
+     * @return the decrypted text
+     * @throws IllegalArgumentException if the key is invalid
+     */
+    public String decrypt(String ciphertext, int[] key) {
+        validateKey(key);
+
+        if (ciphertext == null || ciphertext.isEmpty()) {
+            return ciphertext;
+        }
+
+        // Create the inverse permutation
+        int[] inverseKey = createInverseKey(key);
+
+        StringBuilder decrypted = new StringBuilder();
+
+        // Process text in blocks of key length
+        for (int i = 0; i < ciphertext.length(); i += key.length) {
+            String block = ciphertext.substring(i, Math.min(i + key.length, ciphertext.length()));
+            decrypted.append(permuteBlock(block, inverseKey));
+        }
+
+        // Remove padding characters from the end
+        return removePadding(decrypted.toString());
+    }
+    /**
+     * Validates that the permutation key is valid.
+     * A valid key must contain all integers from 1 to n exactly once, where n is the key length.
+     *
+     * @param key the permutation key to validate
+     * @throws IllegalArgumentException if the key is invalid
+     */
+    private void validateKey(int[] key) {
+        if (key == null || key.length == 0) {
+            throw new IllegalArgumentException("Key cannot be null or empty");
+        }
+
+        Set<Integer> keySet = new HashSet<>();
+        for (int position : key) {
+            if (position < 1 || position > key.length) {
+                throw new IllegalArgumentException("Key must contain integers from 1 to " + key.length);
+            }
+            if (!keySet.add(position)) {
+                throw new IllegalArgumentException("Key must contain each position exactly once");
+            }
+        }
+    }
+
+    /**
+     * Pads the text with padding characters to make its length divisible by the block size.
+     *
+     * @param text the text to pad
+     * @param blockSize the size of each block
+     * @return the padded text
+     */
+    private String padText(String text, int blockSize) {
+        int remainder = text.length() % blockSize;
+        if (remainder == 0) {
+            return text;
+        }
+
+        int paddingNeeded = blockSize - remainder;
+        StringBuilder padded = new StringBuilder(text);
+        for (int i = 0; i < paddingNeeded; i++) {
+            padded.append(PADDING_CHAR);
+        }
+
+        return padded.toString();
+    }
+    /**
+     * Applies the permutation to a single block of text.
+     *
+     * @param block the block to permute
+     * @param key the permutation key
+     * @return the permuted block
+     */
+    private String permuteBlock(String block, int[] key) {
+        if (block.length() != key.length) {
+            // Handle case where block is shorter than key (shouldn't happen with proper padding)
+            block = padText(block, key.length);
+        }
+
+        char[] result = new char[key.length];
+        char[] blockChars = block.toCharArray();
+
+        for (int i = 0; i < key.length; i++) {
+            // Key positions are 1-based, so subtract 1 for 0-based array indexing
+            result[i] = blockChars[key[i] - 1];
+        }
+
+        return new String(result);
+    }
+
+    /**
+     * Creates the inverse permutation key for decryption.
+     *
+     * @param key the original permutation key
+     * @return the inverse key
+     */
+    private int[] createInverseKey(int[] key) {
+        int[] inverse = new int[key.length];
+
+        for (int i = 0; i < key.length; i++) {
+            // The inverse key maps each position to where it should go
+            inverse[key[i] - 1] = i + 1;
+        }
+
+        return inverse;
+    }
+
+    /**
+     * Removes padding characters from the end of the decrypted text.
+     *
+     * @param text the text to remove padding from
+     * @return the text without padding
+     */
+    private String removePadding(String text) {
+        if (text.isEmpty()) {
+            return text;
+        }
+
+        int i = text.length() - 1;
+        while (i >= 0 && text.charAt(i) == PADDING_CHAR) {
+            i--;
+        }
+
+        return text.substring(0, i + 1);
+    }
+
+    /**
+     * Gets the padding character used by this cipher.
+     *
+     * @return the padding character
+     */
+    public char getPaddingChar() {
+        return PADDING_CHAR;
+    }
+}